Transport properties in the d-density-wave state in an external magnetic field: The Wiedemann-Franz law

Abstract

We derive the electrical and thermal conductivities of the $d$-density-wave state in an external magnetic field $B$ in the low-temperature regime and in the presence of impurities. We show that in the zero-temperature limit, $T\to 0$, the Wiedemann-Franz (WF) law remains intact irrespectively of the value of the applied field and chemical potential $\mu$ as soon as there is a scattering from impurities. For finite $T\lesssim |\mu |$ the WF law violation is possible and it is enhanced by the external field. Depending on the relative values of $B$ and $T$ the electrical conduction may dominate the heat conduction and vice versa. For $\mu \gg T$ the WF is restored even in the presence of the external field.

arXiv comment32 pages, RevTeX4, 17 EPS figures; final version published in PRB

References in corpus (15)

• The pseudogap in high-temperature superconductors: an experimental survey
• Hidden Order in the Cuprates
• The doping dependence of T* - what is the real high-Tc phase diagram?
• Magnetic field driven metal-insulator phase transition in planar systems
• Impurity-Induced Quasiparticle Transport and Universal Limit Wiedemann-Franz Violation in d-Wave Superconductors
• Heat Transport in a Strongly Overdoped Cuprate: Fermi Liquid and Pure d-wave BCS Superconductor
• Density Wave States of Non-Zero Angular Momentum
• Dynamical Flavor Symmetry Breaking by a Magnetic Field in $2+1$ Dimensions
• Breakdown of Fermi-liquid theory in a cuprate superconductor
• Electrical and Thermal Transport by Nodal Quasiparticles in the DDW State
• Quasiparticle Hall Transport of d-wave Superconductors in Vortex State
• Temperature- and magnetic-field-dependent thermal conductivity of pure and Zn-doped Bi_{2}Sr_{2}CaCu_{2}O_{8+δ} single crystals
• Resonant Impurity States in the D-Density-Wave Phase
• Transport properties in the d-density wave state: Wiedemann-Franz law
• Violation of the Wiedemann-Franz Law in a Large-N Solution of the t-J Model

Cited by in corpus (29)

• Transport of Dirac quasiparticles in graphene: Hall and optical conductivities
• Magnetic oscillations in planar systems with the Dirac-like spectrum of quasiparticle excitations
• Magnetic oscillations in planar systems with the Dirac-like spectrum of quasiparticle excitations II: transport properties
• Phenomenological study of the electronic transport coefficients of graphene
• Effect of electron-phonon interaction on spectroscopies in graphene
• Orbital Magnetism and Transport Phenomena in Two Dimensional Dirac Fermions in Weak Magnetic Field
• Magnetotransport and thermoelectricity in disordered graphene
• Longitudinal conductivity of massless fermions with tilted Dirac cone in magnetic field
• Anomalous thermoelectric phenomena in lattice models of multi-Weyl semimetals
• Heat transport in Bi_{2+x}Sr_{2-x}CuO_{6+δ}: departure from the Wiedemann-Franz law in the vicinity of the metal-insulator transition
• Ward identity and optical-conductivity sum rule in the d-density wave state
• Electronic, thermal, and optical properties of graphene like SiC${}_x$ structures: Significant effects of Si atom configurations
• Topological quantum friction
• Optical-conductivity sum rule in cuprates and unconventional charge density waves: a short review
• Wiedemann-Franz law for massless Dirac fermions with implications for graphene
• Thermoelectric effect enhanced by the resonant states in graphene
• Effect of orbital currents on the restricted optical sum rule
• Magnetothermal Conductivity of Highly Oriented Pyrolytic Graphite in the Quantum Limit
• Field induced Lifshitz transition in UPt${}_2$Si${}_2$: Fermi surface under extreme conditions
• On the zero-field orbital magnetic susceptibility of Bloch electrons in graphene-like solids: Some rigorous results
• The Hall conductivity in unconventional charge density wave systems
• Linear response theory around a localized impurity in the pseudogap regime of an anisotropic superconductor: precursor pairing vs the d-density-wave scenario
• Density of states of Dirac-Landau levels in a gapped graphene monolayer under strain gradient
• The Wiedemann-Franz law in the SU(N) Wolff model
• Thermoelectric properties of the Corbino disk in graphene
• Thermoelectric properties and Wiedemann-Franz like relations in mixed-dimensional QEDs from particle-vortex dualities
• Transport in vortex state of d-wave superconductors at zero temperature: Wiedemann-Franz violation
• Sub-Sharvin conductance and incoherent shot-noise in graphene disks at magnetic field
• d-density wave state in an external magnetic field