Theory of dissipationless Nernst effects

Abstract

We develop a theory of transverse thermoelectric (Peltier) conductivity, α_{xy}, in finite magnetic field -- this particular conductivity is often the most important contribution to the Nernst thermopower. We demonstrate that α_{xy} of a free electron gas can be expressed purely and exactly as the entropy per carrier irrespective of temperature (which agrees with seminal Hall bar result of Girvin and Jonson). In two dimensions we prove the universality of this result in the presence of disorder which allows explicit demonstration of a number features of interest to experiments on graphene and other two-dimensional materials. We also exploit this relationship in the low field regime and to analyze the rich singularity structure in α_{xy}(B, T) in three dimensions; we discuss its possible experimental implications.

4.5 pages, 2 figures

References in corpus (12)

• Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene
• Thermoelectric and Magnetothermoelectric Transport Measurements of Graphene
• The thermopower and Nernst Effect in graphene in a magnetic field
• Metal-Insulator-Like Behavior in Semimetallic Bismuth and Graphite
• The Nernst effect and the boundaries of the Fermi liquid picture
• Enhancement of the Nernst effect by stripe order in a high-Tc superconductor
• Oscillating Nernst-Ettingshausen effect in Bismuth across the quantum limit
• Nernst effect and diamagnetism in phase fluctuating superconductors
• Thermopower as a Possible Probe of Non-Abelian Quasiparticle Statistics in Fractional Quantum Hall Liquids
• Anomalous Nernst effect from a chiral d-density wave state in underdoped cuprate superconductors
• Quantum Nernst Effect in a Bismuth Single Crystal
• Effects of quasiparticle ambipolarity on the Nernst effect in underdoped cuprate superconductors

Cited by in corpus (49)

• Theoretical prediction of rotating magnon wavepacket in ferromagnets
• Rotational motion of magnon and thermal Hall effect
• Nernst effect in metals and superconductors: a review of concepts and experiments
• Nernst and magneto-thermal conductivity in a lattice model of Weyl fermions
• Large, nonsaturating thermopower in a quantizing magnetic field
• Anomalous transverse response of Co${}_2$MnGa and universality of the room-temperature ${\alpha }_{ij}^A/{\sigma }_{ij}^A$ ratio across topological magnets
• Scattering-Independent Anomalous Nernst Effect in Ferromagnets
• Angle-resolved Landau spectrum of electrons and holes in bismuth
• Anomalous Nernst and Hall effects in magnetized platinum and palladium
• Magnetothermoelectric properties of Bi2Se3
• Skew scattering in dilute ferromagnetic alloys
• Thermopower in an anisotropic two-dimensional Weyl semimetal
• Transverse magnetic heat transport on the topological surface
• Fundamental relations for anomalous thermoelectric transport coefficients in the non-linear regime
• Thermoelectric Hall conductivity and figure of merit in Dirac/Weyl materials
• Phase diagram of bismuth in the extreme quantum limit
• Giant Nernst-Ettingshausen oscillations in Semiclassically strong magnetic fields
• The semiclassical theory of anomalous transport in type-II topological Weyl semimetals
• Landau spectrum and twin boundaries of bismuth in the extreme quantum limit
• Planar Thermal Hall Effect in Weyl Semimetals
• Chiral anomaly induced nonlinear Nernst and thermal Hall effects in Weyl semimetals
• Probing Topological signatures in an optically driven $\alpha$-$T_3$ Lattice
• Thermoelectric effect in high mobility single layer epitaxial graphene
• Thermoelectric response in nodal-point semimetals
• Anomalous heat flow in 8-$Pmmn$ borophene with tilted Dirac cones
• Critical point for Bose-Einstein condensation of excitons in graphite
• Giant anomalous thermal Hall effect in tilted type-I magnetic Weyl semimetal Co${}_3$Sn${}_2$S${}_2$
• Nernst response of the Landau tubes in graphite across the quantum limit
• Diffusion Thermopower of Quantum Hall States Measured in Corbino Geometry
• Topological and disorder corrections to the transverse Wiedemann-Franz law and Mott relation in kagome magnets
• Nernst response, viscosity and mobile entropy in vortex liquids
• Oscillations of the Nernst coefficient in bismuth
• Wide critical fluctuations of the field-induced phase transition in graphite
• Nernst quantum oscillations in bulk semi-metals
• Anomalous Lorenz number in massive and tilted Dirac systems
• Thermoelectric response and entropy of fractional quantum Hall systems
• Nonlinear anomalous transverse responses induced by Berry curvature quadrupole in systems with broken time-reversal symmetry
• Anomalous photo-thermal effects in multi-layered semi-Dirac black phosphorus
• Thermal and thermoelectric transport in flat bands with non-trivial quantum geometry
• Nernst Effect as a Signature of Quantum Fluctuations in Quasi-1D Superconductors
• Thermoelectric Hall conductivity of the fractional quantum Hall systems on a disk
• Magnetothermopower of nodal line semimetals
• Magneto-Seebeck coefficient of Fermi-liquid in three-dimensional Dirac/Weyl semimetal
• Approximate half-integer quantization in anomalous planar transport in $d$-wave altermagnets
• Rashba-driven anomalous Nernst conductivity of lead chalcogenide films
• Current-induced cooling phenomenon in a two-dimensional electron gas under a magnetic field
• Magnetothermoelectric transport in modulated and unmodulated graphene
• Thermomagnetic Ettingshausen-Nernst effect in tachocline, magnetic reconnection phenomenon in lower layers, axion mechanism of solar luminosity variations, coronal heating problem solution and mechanism of ADM variations around BH
• Design Principles for Topological Thermoelectrics