Berry curvature and Hall viscosities in an anisotropic Dirac semi-metal

Abstract

We investigate parity-odd non-dissipative transport in an anisotropic Dirac semi-metal in two spatial dimensions. The analysis is relevant for interacting electronic systems with merging Dirac points at charge neutrality. For such systems the dispersion relation is relativistic in one direction and non-relativistic in the other. We give a proposal how to calculate the Berry curvature for this system and use it to derive more than one odd viscosities, in contrast to rotationally invariant systems. We observe that in such a model the odd part of stress tensor is parameterised by two independent transport coefficients and one that is identically zero.

arXiv comment5+4pages, supplementary material included. 4 figures

References in corpus (32)

• Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice
• Non-Abelian adiabatic statistics and Hall viscosity in quantum Hall states and p_x+ip_y paired superfluids
• Viscosity of Quantum Hall Fluids
• Pressure-Induced Zero-Gap Semiconducting State in Organic Conductor $\alpha$-(BEDT-TTF)${}_2$I${}_3$ Salt
• Hall Viscosity and Electromagnetic Response
• Hall viscosity, orbital spin, and geometry: paired superfluids and quantum Hall systems
• Half-metallic semiDirac point generated by quantum confinement in TiO${}_2$/VO${}_2$ nanostructures
• Kubo formulas for viscosity: Hall viscosity, Ward identities, and the relation with conductivity
• A new magnetic field dependence of Landau levels on a graphene like structure
• Tight-binding modeling and low-energy behavior of the semi-Dirac point
• Hydrodynamic Electron Flow and Hall Viscosity
• Electromagnetic and gravitational responses of two-dimensional non-interacting electrons in background magnetic field
• Gravitational Anomalies and Thermal Hall effect in Topological Insulators
• Framing Anomaly in the Effective Theory of Fractional Quantum Hall Effect
• Fractional Quantum Hall Effect in a Curved Space: Gravitational Anomaly and Electromagnetic Response
• Torsional Response and Dissipationless Viscosity in Topological Insulators
• Odd viscosity in two-dimensional incompressible fluids
• Semi-Dirac dispersion relation in photonic crystals
• Transport signatures of Hall viscosity
• Torsion, Parity-odd Response and Anomalies in Topological States
• Hall viscosity, topological states and effective theories
• A semi-Dirac point in the Hofstadter spectrum
• Out-of-bounds hydrodynamics in anisotropic Dirac fluids
• Investigating anisotropic quantum Hall states with bi-metric geometry
• Odd viscosity in the quantum critical region of a holographic Weyl semimetal
• Hall viscosity from elastic gauge fields in Dirac crystals
• Hydrodynamics of Euler incompressible fluid and the Fractional Quantum Hall Effect
• Phenomenology of non-relativistic parity-violating hydrodynamics in 2+1 dimensions
• Hall Viscosity of Hierarchical Quantum Hall States
• Hall viscosity and electromagnetic response of electrons in graphene
• Zero modes, energy gap, and edge states of anisotropic honeycomb lattice in a magnetic field
• Geometry of Landau orbits in the absence of rotational symmetry

Cited by in corpus (14)

• Hydrodynamic approach to two-dimensional electron systems
• Non-linear transport without spin-orbit coupling or warping in two-dimensional Dirac semimetals
• Signatures of merging Dirac points in optics and transport
• Boundary central charge from bulk odd viscosity - chiral superfluids
• Anomalous Hall viscosity at the Weyl semimetal/insulator transition
• Shear viscosity as a probe of nodal topology
• Functional dependence of the Hall viscosity-induced transverse voltage in two-dimensional Fermi liquids
• Towards holographic flat bands
• Torsion and anomalies in the warped limit of Lifschitz theories
• Quantum Hall effective action for anisotropic Dirac semi-metal
• Viscoelastic tensor and hydrodynamics of altermagnets
• Tunable plasmon modes and topological transitions in single- and bilayer semi-Dirac materials
• Geometric and computational aspects of chiral topological quantum matter
• Viscoelastic response and anisotropic hydrodynamics in Weyl semimetals