Thermoelectric transport of type-I, II, and III massless Dirac fermions in two-dimensional lattice model

Abstract

We study longitudinal electric and thermoelectric transport coefficients of Dirac fermions on a simple lattice model where tuning of a single parameter enables us to change the type of Dirac cones from type-I to type-II. We pay particular attention to the behavior of the critical situation, i.e., the type-III Dirac cone. We find that the transport coefficients of the type-III Dirac fermions behave as the limiting case of neither the type-I nor type-II. On the one hand, the qualitative behaviors of the type-III case are similar to those of the type-I case. On the other hand, the transport coefficients do not change monotonically upon increasing the tilting; namely, the largest thermoelectric response is obtained not for the type-III case but for the optimally tilted type-I case. For the optimal case, the sizable transport coefficients are obtained; for example, the dimensionless figure of merit is 0.18.

12 pages, 11 figures

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Cited by in corpus (4)

• Seebeck Coefficient of Two-dimensional Dirac Electrons in Organic Conductor under Pressure
• Crossover in Electronic Specific Heat near Narrow-Sense Type-III Dirac Cones
• Cooperative Nernst Effect of Multilayer Systems: Parallel Circuit Model Study
• Quantum Criticality of Type-I and Critically Tilted Dirac Semimetals