Thermoelectric Effect of Correlated Metals - Band Structure Effects and the Breakdown of Mott's Formula

Abstract

We study the thermoelectric effect of two-dimensional metals on a square lattice within semiclassical Boltzmann transport theory with particular focus on electron-electron scattering. We compute the electrical conductivity and the Seebeck coefficient as a function of band filling and temperature for generically chosen hopping parameters in a two-dimensional tight-binding model. The Boltzmann equation is solved numerically after computing the full collision integral, taking the angular and radial degrees of freedom into account. These degrees of freedom of the collision integral, neglected in the standard single-relaxation-time approximation, play an important role if the transport coefficients show unconventional features. Within our detailed numerical simulation, we show that the widely used Mott formula to compute the Seebeck effect is not sufficient to describe the thermoelectric effect in the presence of strong electron-electron scattering. Furthermore, we study the Seebeck coefficient and its temperature dependence in the vicinity of a Lifshitz transition and demonstrate that it shows remarkable parallels to transport features near a quantum critical point.

8 pages, 8 figures

References in corpus (10)

• Impurity Scattering and Mott's Formula in Graphene
• Interplay between Kondo suppression and Lifshitz transitions in YbRh${}_2$Si${}_2$ at high magnetic fields
• Thermoelectric response near a quantum critical point: the case of CeCoIn5
• Signatures of quantum criticality in the thermopower of Ba(Fe(1-x)Co(x))2As2
• Magnetic Polarization and Fermi Surface Instability: Case of YbRh2Si2
• Thermoelectric transport across the metamagnetic transition of CeRu2Si2
• Thermoelectric response near a quantum critical point of beta-YbAlB4 and YbRh2Si2: A comparative study
• Numerical Study of Charge Transport of Overdoped La${}_{2-x}$Sr${}_x$CuO${}_4$ within Semiclassical Boltzmann Transport Theory
• Aspects of metallic low-temperature transport in Mott-insulator/ band-insulator superlattices: optical conductivity and thermoelectricity
• Unconventional Metallicity and Giant Thermopower in a Strongly Interacting Two Dimensional Electron System

Cited by in corpus (11)

• Seebeck Coefficient of a Single van der Waals Junction in Twisted Bilayer Graphene
• Cascade of magnetic field induced Lifshitz transitions in the ferromagnetic Kondo lattice material YbNi4P2
• Deviation from the Fermi-Liquid Transport Behavior in the Vicinity of a Van Hove Singularity
• Effects of Lifshitz Transition on Charge Transport in Magnetic Phases of Fe-Based Superconductors
• Unconventional scaling of resistivity in two-dimensional Fermi liquids
• Density-dependent thermopower oscillations in mesoscopic two-dimensional electron gases
• Quantum Hall interferometry in triangular domains of marginally twisted bilayer graphene
• Unconventional and conventional quantum criticalities in CeRh${}_{0.58}$Ir${}_{0.42}$In${}_5$
• Mesoscopic Diffusion Thermopower in Two-Dimensional Electron Gases
• Negatively enhanced thermopower near a Van Hove singularity in electron-doped Sr${}_2$RuO${}_4$
• Seebeck coefficient in low-dimensional fluctuating charge-density-wave systems