- Open Access
Magnetotransport across Weyl semimetal grain boundaries
Phys. Rev. B 113, 075152 – Published 24 February, 2026
DOI: https://doi.org/10.1103/99q1-37q7
Abstract
A clean interface between two Weyl semimetals features a universal, field-linear tunnel magnetoconductance of per magnetic flux quantum, where is the number of chirality-preserving topological interface Fermi arcs. In this work we show that the linearity of the magnetoconductance is robust with respect to interface disorder. The slope of the magnetoconductance changes at a characteristic field strength —the field strength for which the time taken to traverse the Fermi arc due to the Lorentz force is equal to the mean inter-arc scattering time. For fields much larger than , the magnetoconductance is unaffected by disorder. For fields much smaller than , the slope is no longer determined by but by the simple fraction , where and are the numbers of Weyl-node pairs in the left and right Weyl semimetal, respectively. We also consider the effect of spatially correlated disorder potentials, where we find that decreases exponentially with increasing correlation length. Our results provide a possible explanation for the recently observed robustness of the negative linear magnetoresistance in grained Weyl semimetals.
Physics Subject Headings (PhySH)
Article Text
References (40)
- X. Wan, A. M. Turner, A. Vishwanath, and S. Y. Savrasov, Topological semimetal and Fermi-arc surface states in the electronic structure of pyrochlore iridates, Phys. Rev. B 83, 205101 (2011).
- N. P. Armitage, E. J. Mele, and A. Vishwanath, Weyl and Dirac semimetals in three-dimensional solids, Rev. Mod. Phys. 90, 015001 (2018).
- S. L. Adler, Axial-vector vertex in spinor electrodynamics, Phys. Rev. 177, 2426 (1969).
- J. S. Bell and R. Jackiw, A PCAC Puzzle: in the -model, Nuovo Cimento A 60, 47 (1969).
- D. T. Son and B. Z. Spivak, Chiral anomaly and classical negative magnetoresistance of Weyl metals, Phys. Rev. B 88, 104412 (2013).
- A. A. Burkov, Weyl metals, Annu. Rev. Condens. Matter Phys. 9, 359 (2018).
- J. Xiong, S. K. Kushwaha, T. Liang, J. W. Krizan, M. Hirschberger, W. Wang, R. J. Cava, and N. P. Ong, Evidence for the chiral anomaly in the Dirac semimetal , Science 350, 413 (2015).
- A. Altland and D. Bagrets, Theory of the strongly disordered Weyl semimetal, Phys. Rev. B 93, 075113 (2016).
- R. D. dos Reis, M. O. Ajeesh, N. Kumar, F. Arnold, C. Shekhar, M. Naumann, M. Schmidt, M. Nicklas, and E. Hassinger, On the search for the chiral anomaly in Weyl semimetals: The negative longitudinal magnetoresistance, New J. Phys. 18, 085006 (2016).
- M. Naumann, F. Arnold, M. D. Bachmann, K. A. Modic, P. J. W. Moll, V. Süß, M. Schmidt, and E. Hassinger, Orbital effect and weak localization in the longitudinal magnetoresistance of Weyl semimetals NbP, NbAs, TaP, and TaAs, Phys. Rev. Mater. 4, 034201 (2020).
- B. Q. Lv, T. Qian, and H. Ding, Experimental perspective on three-dimensional topological semimetals, Rev. Mod. Phys. 93, 025002 (2021).
- D. Zhang, W. Jiang, H. Yun, O. J. Benally, T. Peterson, Z. Cresswell, Y. Fan, Y. Lv, G. Yu, J. G. Barriocanal, et al., Robust negative longitudinal magnetoresistance and spin–orbit torque in sputtered and topological semimetal, Nat. Commun. 14, 4151 (2023).
- A. Y. Chaou, V. Dwivedi, and M. Breitkreiz, Magnetic breakdown and chiral magnetic effect at Weyl-semimetal tunnel junctions, Phys. Rev. B 107, L241109 (2023).
- A. Y. Chaou, V. Dwivedi, and M. Breitkreiz, Quantum oscillation signatures of interface Fermi arcs, Phys. Rev. B 110, 035116 (2024).
- V. Dwivedi, Fermi arc reconstruction at junctions between Weyl semimetals, Phys. Rev. B 97, 064201 (2018).
- G. Murthy, H. A. Fertig, and E. Shimshoni, Surface states and arcless angles in twisted Weyl semimetals, Phys. Rev. Res. 2, 013367 (2020).
- F. Abdulla, S. Rao, and G. Murthy, Fermi arc reconstruction at the interface of twisted Weyl semimetals, Phys. Rev. B 103, 235308 (2021).
- S. Kaushik, I. Robredo, N. Mathur, L. M. Schoop, S. Jin, M. G. Vergniory, and J. Cano, Transport signatures of Fermi arcs at twin boundaries in Weyl materials, Phys. Rev. B 111, 085133 (2025).
- F. Buccheri, R. Egger, and A. De Martino, Transport, refraction, and interface arcs in junctions of Weyl semimetals, Phys. Rev. B 106, 045413 (2022).
- N. Mathur, F. Yuan, G. Cheng, S. Kaushik, I. Robredo, and G. Maia, Atomically sharp internal interface in a chiral Weyl semimetal nanowire, Nano Lett. 23, 2695 (2023).
- R. Kundu, H. A. Fertig, and A. Kundu, Broken symmetry and competing orders in Weyl semimetal interfaces, Phys. Rev. B 107, L041402 (2023).
- M. Breitkreiz and P. W. Brouwer, Fermi-arc metals, Phys. Rev. Lett. 130, 196602 (2023).
- M. Breitkreiz and P. W. Brouwer, Large contribution of Fermi arcs to the conductivity of topological metals, Phys. Rev. Lett. 123, 066804 (2019).
- C. Zhang, Z. Ni, J. Zhang, X. Yuan, Y. Liu, Y. Zou, Z. Liao, Y. Du, A. Narayan, H. Zhang, T. Gu, X. Zhu, L. Pi, S. Sanvito, X. Han, J. Zou, Y. Shi, X. Wan, S. Y. Savrasov, and F. Xiu, Ultrahigh conductivity in Weyl semimetal NbAs nanobelts, Nat. Mater. 18, 482 (2019).
- P. M. Perez-Piskunow, N. Bovenzi, A. R. Akhmerov, and M. Breitkreiz, Chiral anomaly trapped in Weyl metals: Nonequilibrium valley polarization at zero magnetic field, SciPost Phys. 11, 046 (2021).
- N. A. Lanzillo, U. Bajpai, and C.-T. Chen, Topological semimetal interface resistivity scaling for vertical interconnect applications, Appl. Phys. Lett. 124, 181603 (2024).
- I. A. Leahy, A. D. Rice, C.-S. Jiang, G. Paul, K. Alberi, and J. N. Nelson, Anisotropic weak antilocalization in thin films of the Weyl semimetal TaAs, Phys. Rev. B 110, 054206 (2024).
- A. I. Khan, A. Ramdas, E. Lindgren, H.-M. Kim, B. Won, X. Wu, K. Saraswat, C.-T. Chen, Y. Suzuki, F. H. da Jornada, I.-K. Oh, and E. Pop, Surface conduction and reduced electrical resistivity in ultrathin noncrystalline NbP semimetal, Science 387, 62 (2025).
- S. Kumar, Y.-H. Tu, S. Luo, N. A. Lanzillo, T.-R. Chang, G. Liang, R. Sundararaman, H. Lin, and C.-T. Chen, Surface-dominated conductance scaling in Weyl semimetal NbAs, npj Comput. Mater. 10, 84 (2024).
- V. Kaladzhyan and J. H. Bardarson, Quantized Fermi arc mediated transport in Weyl semimetal nanowires, Phys. Rev. B 100, 085424 (2019).
- G. Resta, S.-T. Pi, X. Wan, and S. Y. Savrasov, High surface conductivity of Fermi-arc electrons in Weyl semimetals, Phys. Rev. B 97, 085142 (2018).
- E. V. Gorbar, V. A. Miransky, I. A. Shovkovy, and P. O. Sukhachov, Origin of dissipative Fermi arc transport in Weyl semimetals, Phys. Rev. B 93, 235127 (2016).
- J. H. Wilson, J. H. Pixley, D. A. Huse, G. Refael, and S. Das Sarma, Do the surface Fermi arcs in Weyl semimetals survive disorder?, Phys. Rev. B 97, 235108 (2018).
- W. Kohn and J. Luttinger, Quantum theory of electrical transport phenomena, Phys. Rev. 108, 590 (1957).
- J. R. Williams, L. DiCarlo, and C. M. Marcus, Quantum Hall effect in a gate-controlled junction of graphene, Science 317, 638 (2007).
- D. A. Abanin and L. S. Levitov, Quantized transport in graphene junctions in a magnetic field, Science 317, 641 (2007).
- H. Tian, A. Y. Chaou, V. Dwivedi, and M. Breitkreiz, Code and data associated with the paper “magnetotransport across Weyl semimetal grain boundaries,” Zenodo (2026), doi: 10.5281/zenodo.17961585.
- C. W. Groth, M. Wimmer, A. R. Akhmerov, and X. Waintal, Kwant: A software package for quantum transport, New J. Phys. 16, 063065 (2014).
- A. Potter, I. Kimchi, and A. Vishwanath, Quantum oscillations from surface Fermi-arcs in Weyl and Dirac semi-metals, Nat. Commun. 5, 5161 (2014).
- V. Dwivedi and V. Chua, Of bulk and boundaries: Generalized transfer matrices for tight-binding models, Phys. Rev. B 93, 134304 (2016).