We investigate the emergence of superconducting phases, both with zero and finite Cooper-pair center-of-mass momenta, in recently proposed unconventional $p$-wave magnets. As a result we find that while these magnetic phases are in principle compatible with a conventional pairing state at zero field, a Fulde-Ferrell phase can generally be promoted as the leading instability under the application of a finite magnetic field. Interestingly, by calculating the efficiency of the superconducting diode effect of this finite-momentum pairing state via a Ginzburg-Landau theory, we uncover that a high efficiency can be obtained in these systems for experimentally relevant spin splittings. Therefore, our prediction reveals that the experimental discovery of these materials represents a promising platform for the construction of superconducting logic circuits that may as a consequence find various technological applications.

Two-dimensional multilayer materials with an induced moiré pattern, either due to strain or relative twist between layers, provide a versatile platform for exploring strongly correlated and topological electronic phenomena. While these systems offer unprecedented tunability, their theoretical description remains challenging due to their complex atomic structures and large unit cells. A key step in constructing effective theories is determining the relevant symmetry group of these systems. Here, we use a combination of analytical methods, molecular dynamics simulations, and first-principles calculations to show that twisted atomic configurations with distinct microscopic symmetries converge to a universal moiré-scale symmetry that governs the low-energy physics. We apply this framework to three widely studied families of moiré materials—twisted bilayer graphene, twisted hexagonal boron nitride, and twisted transition metal dichalcogenides—and introduce quantitative criteria for structural and electronic equivalence grounded in numerical accuracy and experimental resolution. This emergent universality provides a robust foundation for symmetry-respecting models and offers insight into the role of commensurability in real twisted moiré systems.

We study quantum tunneling through a potential barrier whose height fluctuates in time and is modeled by Gaussian white noise. Exploiting the correspondence between Gaussian white-noise dynamics and Lindblad evolution, we recast the noise-averaged dynamics as a time-independent density-matrix scattering problem and derive fully analytical solutions. For nonrelativistic particles described by the Schrödinger equation, noise introduces dissipation, suppresses Fabry-Pérot oscillations, and produces exponentially decaying transmission. Applying the same formalism to graphene, we show that noise induces a complex longitudinal wave vector within the barrier, leading to strong suppression of transmission and Klein tunneling even at normal incidence. Within the present model, the analytical results show how the noise strength controls the attenuation of electron transmission through graphene barriers. More broadly, the formalism provides an analytical basis for investigating noisy multibarrier structures, including graphene quantum-dot confinement; assessing qubit performance, however, will require extending the treatment to explicit confinement geometries and accounting for coherence.

Long-distance spin transfer is essential for realizing scalable, all-optical magnetic logic units. In this work, we employ high-level quantum chemistry methods to demonstrate ultrafast laser-driven spin dynamics in a zigzag silicon chain functionalized with two Ni atoms. The first result of this study is the realization of coherent spin transfer in both cis and trans configurations, achieving transfer distances of 6.547 and 6.021 nm, respectively, within the subpicosecond regime, demonstrating the potential of silicon-based spin channels for ultrafast logic operations. The second outcome reveals that even minor variations in laser polarization angles can cause a significant reduction in spin-transfer fidelity. Third, we find that changes in the strength of an applied inhomogeneous magnetic field $B$ strongly affect the fidelity of spin transfer. The fourth key finding is that, for a double-pulse sequence, the fidelity of the spin-flip process is highly sensitive to the time delay between two laser pulses. Fifth, a combination of a single laser pulse and a magnetic field $B$ enables the selective addressing of individual spin centers with high spatial resolution. In particular, the cis configuration exhibits a resolution limit for Ni-Ni separation of just 3.0 Å (well below the projected CMOS scaling limit of 20 Å), highlighting its potential for miniaturization.

The kagome magnet ${\mathrm{Fe}}_3{\mathrm{Sn}}_2$ has emerged as a key material for exploring topological spin textures, as well as intriguing transport phenomena driven by geometric frustration and spin-orbit coupling. While previous real space imaging studies have extensively characterized the $ab$ plane magnetic domain, the crystallographic axis specific evolution pathways of the ac, bc, or side plane magnetic domain structure, which are crucial to the material's strong magnetocrystalline anisotropy, have unlikely been directly visualized. Here, we report that the ${\mathrm{C}}_2$ symmetry observed in macroscopic magnetic properties and magnetotransport measurements breaking the crystal's threefold rotational symmetry. Using Lorentz transmission electron microscopy, we directly observe domain evolution along two principal crystallographic axes [100] and [120]. The results reveal a fundamental contrast: domains in the (100) plane rotate continuously from the $c$ axis to the $ab$ plane during cooling, while in the (120) plane undergo magnetic domain reconstruction through metastable cross-tie domains. This crystallographic axis dependent behavior directly manifests the underlying magnetic anisotropy and the microscopic mechanism for the emergent ${\mathrm{C}}_2$ symmetry. These findings establish ${\mathrm{Fe}}_3{\mathrm{Sn}}_2$ as a model system where crystal direction dependent spin-orbit coupling governs anisotropic domain reconstruction in a frustrated kagome lattice.

Dirty superconducting films with magnetic impurities can exhibit nontrivial behavior in a magnetic field that polarizes the impurity spins. As predicted by Kharitonov and Feigelman (KF) [JETP Lett. 82, 421 (2005)], this polarization reduces the exchange scattering rate. Consequently, a parallel magnetic field can enhance the critical temperature $T_c$ when magnetic-field pair breaking is weak, as realized for strong spin-orbit scattering and small film thickness. Recently, Llanos et al. [Nat. Phys. 22, 856 (2026)] observed a pronounced enhancement of $T_c$ consistent with the KF theory. The same experiment also reported an enhancement of the perpendicular upper critical field $H_{c2}^{\perp }$ and a suppression of the London penetration depth ${\lambda }_L$ by a parallel magnetic field. These quantities were not considered in the original KF theory. To address this gap, we develop a theoretical framework based on Gor'kov's diagrammatic technique for dirty superconductors. We extend the KF theory in two experimentally relevant directions: (i) to arbitrary temperatures $T<T_c$ and several superconducting observables and (ii) to arbitrary magnetic-field orientations. As a result, we demonstrate theoretically the suppression of ${\lambda }_L$ and the enhancement of $H_{c2}^{\perp }$ by a parallel magnetic field, in agreement with experiment.

Topological defects play a fundamental role in the investigation of symmetries in quantum field theories. For conformal field theories in two space-time dimensions, it is possible to construct these defects using lattice models allowing ab initio analytical and numerical computations of their characteristics. In this work, topological defects are investigated in nonunitary conformal field theories using appropriate variations of the restricted solid-on-solid models. The relevant impurity models and the corresponding defect operators are constructed for the lattice system. Numerical computations are performed for the energy spectrum, eigenvalues of the defect operators, as well as thermodynamic characteristics and compared with analytical predictions. Finally, renormalization group flows between the different fixed points are analyzed using numerical methods.

Robust states emerging at the boundaries of a system are an important hallmark of topological matter. Here, using the Su-Schrieffer-Heeger model and the Kitaev chain as examples, we study the impact of a type of experimentally realizable bond dissipation on topological systems by calculating the steady-state density matrix, and demonstrate that such dissipation applied near the system boundary can assist in preparing topological edge states of the parent Hamiltonian, irrespective of the initial state or filling. This effect stems from the matching between the phase distribution encoded in the topological edge states and the target state prepared through bond dissipation. This work provides insights into the preparation of topological edge states, particularly in the context of Majorana zero modes.

In this work, we show that the edge dynamics of the composite boson condensate in the weakly nonlinear regime is governed by the Korteweg–de Vries (KdV) equation. Our starting point is the Chern-Simons-Ginzburg-Landau (CSGL) theory in the lower half-plane, where the effective edge dynamics are encoded in anomaly-compatible boundary conditions. The CSGL theory captures several key features of the Laughlin state. The saddle-point bulk dynamics and the corresponding boundary conditions of this action can be reformulated as two-dimensional compressible fluid dynamic equations, subject to a quantum Hall constraint that links the superfluid vorticity to its density fluctuations. The boundary conditions in this hydrodynamic framework consist of no-penetration and no-stress conditions. We then apply the method of multiple scales to this hydrodynamic system and derive the KdV equation for the edge dynamics in the weakly nonlinear regime. By employing the Hamiltonian framework for the KdV equation, we show that we can recover the chiral Luttinger liquid theory in the linearized regime and provide a pathway for canonically quantizing the edge dynamics in the weakly nonlinear limit.

We investigate the topological properties and phase diagrams of a one-dimensional Kitaev chain with spin-orbit coupling, subject to an external magnetic field, and hosting coexisting singlet $s$-wave and triplet $p$-wave pairings. To drive the system out of equilibrium, we introduce a phase in the hopping parameter that accounts for a uniform particle current. Using symmetry analysis, we identify the conditions under which the system belongs to the topological class BDI with a $\mathbb{Z}$ invariant. Breaking chiral symmetry by introducing the particle current reduces the classification to topological class D with a ${\mathbb{Z}}_2$ invariant. We calculate the winding number for class BDI and the Pfaffian invariant for class D to obtain the corresponding phase diagrams. In addition, we compute the energy spectrum for class D to determine the phase boundaries analytically, and employ the real-space formulation to numerically obtain the Majorana number maps and verify the analytical results. Our findings highlight how mixed pairing channels and current-induced symmetry breaking enrich the landscape of one-dimensional topological superconductivity and provide new insights into the stability of Majorana modes under nonequilibrium conditions.

Superconductivity is intrinsically linked to the crystal structure of materials, and structural heterogeneity under high pressure often yields broadened or mixed superconducting transitions. Here instead we report multiple superconducting phases in compressed ${\mathrm{PbSnSe}}_2$: two well-separated superconducting transitions that coexist over a broad pressure range and are associated with two crystallographically distinct phases as established by in situ high-pressure x-ray diffraction. Electrical transport and DC magnetization measurements, reproduced across independent samples, consistently resolve both transitions and their evolution under compression. First-principles calculations show that the two structures possess distinct electron-phonon coupling, dominated in both cases by Se-related phonon modes, providing a direct link between the structural symmetry and the superconducting pairing strength. These results illuminate the microscopic connection between phase transitions and superconductivity in layered chalcogenides, and provide a clean platform for exploring the intricacy of the underlying physics.

We investigate nonequilibrium dynamics of a triad of fermionic superfluids connected via Josephson junctions, following sudden switch-on of two-body loss in one of the three superfluids. By formulating the dissipative BCS theory for the Lindblad equation, we find that the superfluid order parameter exhibits a phase rotation, thereby giving rise to three types of dc Josephson currents corresponding to different junctions. We demonstrate that, when the tunneling amplitude $V_{31}$ between superfluids without two-body loss is weak, a two-step nonequilibrium phase transition characterized by the vanishing dc Josephson currents occurs: dissipation first induces the nonequilibrium phase transition by making one dc Josephson current finite, while further increasing dissipation makes this remaining dc Josephson current vanish. By contrast, when $V_{31}$ is strong, dissipation induces the nonequilibrium phase transition in which all dc Josephson currents simultaneously vanish. An analytical study based on a simplified model further supports this observation.

We develop variational continuous unitary transformations (VCUTs), which integrate Wegner-Wilson flow equations with tensor network techniques to approximately diagonalize many-body localized (MBL) Hamiltonians. The diagonalizing unitary is represented as a matrix product operator whose bond dimension controls the accuracy. For the disordered Heisenberg chain, VCUTs accurately reproduce the full spectrum across the ergodic-to-MBL crossover at small system sizes and scale to $L=48$ sites. Beyond eigenenergies, the method can track the spatial entanglement structure of the diagonalizing unitary $U\left(l\right)$ at each flow step, enabling identification of local integrals of motion deep in the MBL phase.

There has been considerable recent interest in the phenomenology of high harmonic generation (HHG) in topological insulators. We study HHG in the Qi-Wu-Zhang (QWZ) model for a Chern insulator, which satisfies spatial inversion symmetry but breaks time-reversal symmetry. The QWZ model is particularly interesting because it combines rich physics with unique simplicity. Our theoretical approach is based on the semiconductor Bloch equations, and we present two distinct numerical methods for simulating HHG which are immune to topological obstruction of the Bloch phase. We obtain highly converged HHG spectra in both trivial and topological phases of the QWZ model, and we use these results to investigate spectral characteristics which have been proposed as signatures of band topology. We derive a simple relationship between harmonic ellipticity and material Berry curvature for two-band systems, and we show that this can be used for accurate prediction of the helicity of emitted harmonics. While this clarifies the relationship between ellipticity and Berry curvature, it also uncovers limitations that restrict the scope of ellipticity as an indicator of topological phase. More generally, our findings contribute to the important discussion surrounding topological signatures in HHG spectra. Beyond that, we also observe a dual plateau structure of the HH spectrum in the topological phase which is absent in the trivial phase, but the origin of this phenomenon is not topological. Rather, the multiple plateaus are clearly attributed to the interference of HHG originating from different regions of the full two-dimensional Brillouin zone (BZ). As a consequence, our study reinforces the importance of including the entire BZ for accurate modeling of HHG in solids.

Ce-based intermetallics often display a delicate interplay between magnetism, electron correlations, and lattice geometry, making them highly sensitive to external pressure. We report the evolution of the Ce valence in the frustrated Shastry-Sutherland compound ${\mathrm{Ce}}_2{\mathrm{Pd}}_2\mathrm{In}$ under high pressure using Ce $L_3$-edge x-ray absorption spectroscopy. Although long-range magnetic order collapses around $\sim 4\mathrm{GPa}$, the spectra remain dominated by the the Ce $4f^1$ configuration across this region, pointing to its remarkable stability. Tiny signs of a valence increase appear only above $\sim 8\mathrm{GPa}$, well beyond the pressure at which magnetism is suppressed. These observations demonstrate that the collapse of magnetic order is not driven by a valence instability but arises primarily from enhanced geometrical frustration within the Shastry-Sutherland lattice of Ce ions. ${\mathrm{Ce}}_2{\mathrm{Pd}}_2\mathrm{In}$ thus represents a rare realization of a Ce-based intermetallic in which frustration, rather than valence fluctuations, governs the suppression of long-range magnetic order, providing a clean platform to explore exotic ground states in frustrated rare-earth systems.

The generation of quantum correlations in hybrid quantum systems remains a central challenge due to the intrinsic limitations of linear interactions. In cavity magnomechanical platforms, the cavity-magnon coupling gives rise to hybridized cavity-magnon polaritons (CMPs). However, as a beam-splitter-type interaction, it does not by itself generate entanglement between the polariton modes in the absence of additional nonlinear or parametric processes. Here, we propose a mechanism based on multimode phonon mediation, in which multiple vibrational modes act as parallel scattering channels that couple the polaritons through Stokes and anti-Stokes processes. We show that, in the parameter regime explored here, the presence of multiple phonon modes leads to a monotonic enhancement of steady-state entanglement, thereby going beyond the limitations of conventional single-mode schemes. Furthermore, we demonstrate that quantum synchronization between the polariton modes originates from the same underlying scattering processes responsible for entanglement generation, yet exhibits an opposite scaling behavior with an increasing number of phonon modes for the phase quadrature, while the amplitude synchronization reveals collective squeezing that grows with the number of phonon channels. Our results provide new insights into the role of multimode interactions in shaping quantum correlations and establish a viable pathway for controlling entanglement and collective dynamics in hybrid magnomechanical platforms.

Atomistic spin simulations have been used to provide insights into the internal structures of twin (T) and spin (S) domain walls (DWs) in antiferromagnetic NiO. While S DWs imply simple continuous spin rotations, T DWs are composed of a combination of rotations and canting. The hybrid nature of these walls stems from geometrical constraints inducing strong frustrations of atomic neighbors' exchange interactions at the twin boundaries, with large spin noncollinearities. The effective DW widths for rotations conventionally depend on the ratio of exchange over anisotropy, but canting regions are mainly set by the ratio of the exchange energies for first and second neighbors. Our calculations provide a strong basis to reinterpret some published experimental observations.

The planar Hall effect (PHE) is typically symmetric under magnetic field reversal, as required by the Onsager reciprocity relations. Recent advances have identified the antisymmetric PHE as an intriguing extension in magnetic systems. While new mechanisms have been proposed, the role of conventional anisotropic magnetoresistance (AMR) in this phenomenon remains unclear. Here, we report the experimental discovery of an antisymmetric PHE and magnetoresistance, with respect to both magnetic field and magnetization, in single-crystal ${\mathrm{Co}}_{30}{\mathrm{Pt}}_{70}$(111) thin films with $C_3$ rotational symmetry and perpendicular magnetic anisotropy (PMA). We demonstrate that both antisymmetric effects arise naturally from the intrinsic fourth-rank AMR tensor inherent to $C_3$-symmetric planes, assisted by PMA. Our findings link conventional AMR to antisymmetric galvanomagnetic responses, offering insights into symmetry-governed transport in crystalline ferromagnets.

Experimental evidence of spontaneous time-reversal (TR) symmetry breaking have been reported for the superconducting ground state in the transition metal dichalcogenide (TMD) superconductor $4{\mathrm{H}}_b\text{−}{\mathrm{TaS}}_2$ or chiral molecule intercalated ${\mathrm{TaS}}_2$ hybrid superlattices, and is regarded as evidence of the emergent chiral superconductivity. However, the $T_c$ of these TMD superconductors is at the same order as pristine 1H or 2H-${\mathrm{TaS}}_2$ that does not show any signature of TR breaking and is believed to be conventional Bardeen-Cooper-Schrieffer superconductors. To resolve this puzzle, we proposed a type of pair-mixing states that mix the dominant conventional s-wave pairing channel with the subdominant chiral p-wave pairing channel via the finite Cooper pair momentum based on the symmetry analysis of the Ginzburg-Landau theory. Our analysis shows the fourth-order terms in the chiral p-wave channel can lead to a variety of pair-mixing states with spontaneous TR breaking. These TR-breaking superconducting states also reveal zero-field junction-free superconducting diode effect that is observed in chiral molecule intercalated ${\mathrm{TaS}}_2$ superlattices.

In Type II superconductors, the vortex lattice can exhibit inverse melting, transitioning from a liquid to a crystalline solid as temperature increases. While recently observed via scanning tunneling microscopy in a 20 nm thick amorphous ${\mathrm{Re}}_6\mathrm{Zr}$ thin film, this work investigates the corresponding dc transport and low-frequency magnetic screening responses. By identifying distinct signatures of these transitions and integrating scanning tunneling spectroscopy imaging, we construct a comprehensive vortex-state phase diagram in the magnetic field-temperature parameter space. Furthermore, we demonstrate that inverse melting is thickness dependent: a 5 nm film retains an inhomogeneous vortex liquid state, while a 50 nm film maintains a crystalline vortex solid structure except near the upper critical field.