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Gauge-invariant projector calculus for quantum state geometry and applications to observables in crystals

Johannes Mitscherling ^1,2,*, Alexander Avdoshkin ^3,2,*, and Joel E. Moore ^2,4

¹Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Str. 38, 01187 Dresden, Germany
²Department of Physics, University of California, Berkeley, California 94720, USA
³Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
⁴Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA

^*These authors contributed equally to this work.

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Articles Citing

Gauge-invariant projector calculus for quantum state geometry and applications to observables in crystals

Quantum geometry phenomena in condensed matter systems

Quantum geometric tensors from sub-bundle geometry

Exploring many-body quantum geometry beyond the quantum metric with correlation functions: A time-dependent perspective

Quantum Geometric Fluctuation-Dissipation Relation for Nonlinear Transport

Real-Space Switching of Local Moments Driven by Quantum Geometry in Correlated Graphene Heterostructures

Dirac Charge in Antiferromagnetic Topological Semimetals

Quantization of Spin Circular Photogalvanic Effect in Altermagnetic Weyl Semimetals

Chiral superconductors from parent states with nonuniform Berry curvature: Momentum-space vortices, Bogoliubov–de Gennes topology, and thermal Hall conductivity

Orbital Wigner functions and quantum transport in multiband systems

Raman circular dichroism and spinon quantum geometry of chiral quantum spin liquids

Relation between the areal rate of Zitterbewegung and Berry curvature in two-band systems

Electronic crystal phases in the presence of nonuniform Berry curvature and tunable Berry flux: The λN -jellium model

From quantum geometry to nonlinear optics and gerbes: Recent advances in topological band theory

Orbital magnetization and Streda formula of interacting electrons in the mean-field approximation

Probing quantum geometry with two-dimensional nonlinear optical spectroscopy

Quantum geometric origin of the intrinsic nonlinear Hall effect

Correlated quantum shift vector of particle-hole excitations

Superadiabatic Approach to Quantum Geometric Transport

Fourier Expansion‐Based Approach to the Parameter Space of Classical Systems

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Multistate Geometry of Shift Current and Polarization

Quantum Response Theory and Momentum-Space Gravity

Quantum geometry and low-frequency optical conductivity of nodal planes

Quantum geometric bounds for observables: Linear responses, Drude weight, and orbital magnetization

Functional approach to superfluid stiffness: Role of quantum geometry in unconventional superconductivity

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