Topological metals induced by Zeeman effect

Abstract

In the present paper, we propose a new way to classify centrosymmetric metals by studying the Zeeman effect caused by an external magnetic field described by the momentum dependent g-factor tensor on the Fermi surfaces. Nontrivial U(1) Berry's phase and curvature can be generated once the otherwise degenerate Fermi surfaces are splitted by the Zeeman effect, which will be determined by both the intrinsic band structure and the structure of g-factor tensor on the manifold of the Fermi surfaces. Such Zeeman effect generated Berry's phase and curvature can lead to three important experimental effects, modification of spin-zero effect, Zeeman effect induced Fermi surface Chern number and the in-plane anomalous Hall effect. By first principle calculations, we study all these effects on two typical material, ZrTe${}_5$ and TaAs${}_2$ and the results are in good agreement with the existing experiments.

arXiv comment10 pages, 6 figures

References in corpus (30)

• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Berry Phase Effects on Electronic Properties
• Anomalous Hall effect
• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Weyl and Dirac Semimetals in Three Dimensional Solids
• Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
• Type-II Weyl Semimetals
• The Chiral Magnetic Effect
• Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene
• Dirac semimetal and topological phase transitions in A3Bi (A=Na, K, Rb)
• Experimental discovery of Weyl semimetal TaAs
• Observation of the chiral anomaly induced negative magneto-resistance in 3D Weyl semi-metal TaAs
• Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
• Chiral Anomaly and Classical Negative Magnetoresistance of Weyl Metals
• Observation of the chiral magnetic effect in ZrTe5
• Anomalous Hall Effect and Magnetic Monopoles in Momentum-Space
• Anomalous Hall effect in ferromagnetic semiconductors
• Dirac Line Nodes in Inversion Symmetric Crystals
• Dirac Cone Protected by Non-Symmorphic Symmetry and 3D Dirac Line Node in ZrSiS
• Ab initio calculation of the anomalous Hall conductivity by Wannier interpolation
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Transition-Metal Pentatelluride ZrTe${}_5$ and HfTe${}_5$: a Paradigm for Large-gap Quantum Spin Hall Insulators
• Chiral Anomaly and Diffusive Magnetotransport in Weyl Metals
• Negative longitudinal magnetoresistance in Dirac and Weyl metals
• Transport evidence for the three-dimensional Dirac semimetal phase in ZrTe5
• Unified theory of PT and CP invariant topological metals and nodal superconductors
• Large Magnetoresistance in Compensated Semimetals TaAs${}_2$ and NbAs${}_2$
• Anomalous electronic structure and magnetoresistance in TaAs${}_2$
• Electron Correlation Induced Spontaneous Symmetry Breaking and Weyl Semimetal Phase in a Strongly Spin-Orbit Coupled System
• First principle calculation of the effective Zeeman's couplings in topological materials

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• Non-linear ballistic response of quantum spin-Hall edge states
• Colossal orbital Zeeman effect driven by tunable spin-Berry curvature in a kagome metal
• Inducing a metal-insulator transition in disordered interacting Dirac fermion systems via an external magnetic field
• Tunable chiral symmetry breaking in symmetric Weyl materials
• Topological phase diagram of Pb1-xSnxSe1-yTey
• Temperature driven spin-zero effect in TaAs${}_2$
• Intertwined topological phases in TaAs2 nanowires with giant magnetoresistance and quantum coherent surface transport
• A New Neutron Lifetime Experiment with Cold Neutron Beam Decay in Superfluid Helium-4