Theory of transport property of density wave phases in three-dimensional metals and semimetals under high magnetic field

Abstract

Three-dimensional (3D) metals/semimetals under magnetic field have an instability toward a density wave (DW) ordering which breaks a translational symmetry along the field direction. Effective boson models for the DW phases take forms of XY models with/without Potts terms. Longitudinal conductivity along the field direction is calculated in the DW phases with inclusion of effects of low-energy charge fluctuation (phason) and disorder. A single-particle imaginary-time Green function is identified with a partition function of 3D XY models in the presence of pairs of magnetic monopoles. In terms of the celebrated electromagnetic duality, electronic spectral function is calculated near the DW phase transition. The result shows that the single-particle spectral function acquires an additional low-energy feature due to the strong phason fluctuation. Relevance to an in-plane conductance due to surface chiral Fermi arc states are also discussed.

30 pages with 14 figures

References in corpus (5)

• Signatures of Electron Fractionalization in Ultraquantum Bismuth
• Possible Excitonic Phase of Graphite in the Quantum Limit State
• Transport anomalies across the quantum limit in semimetallic Bi${}_{0.96}$Sb${}_{0.04}$
• Signature of chiral fermion instability in the Weyl semimetal TaAs above the quantum limit
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Cited by in corpus (15)

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• Quantum limit transport and destruction of the Weyl nodes in TaAs
• Graphite in 90 T: Evidence for Strong-coupling Excitonic Pairing
• Thermodynamic signatures of the field-induced states of graphite
• Charge density wave instabilities of type-II Weyl semimetals in a strong magnetic field
• Uncovering Weyl Fermions in the Quantum Limit of NbP
• Instability of Dirac semimetal phase under strong magnetic field
• Ground-state atlas of a three-dimensional semimetal in the quantum limit
• Controllable Weyl Nodes and Fermi Arcs from Floquet Engineering Triple Fermions
• Simulating Higher-Order Topological Insulators in Density Wave Insulators
• Theory of metal-insulator transitions in graphite under high magnetic field
• Dirac Kondo effect under magnetic catalysis
• Infinite critical boson non-Fermi liquid on heterostructure interfaces
• Theory of phonon instabilities in Weyl semimetals at high magnetic fields