Linear response of tilted anisotropic two-dimensional Dirac cones

Ipsita Mandal ()
Additional contact information
Ipsita Mandal: Shiv Nadar Institution of Eminence (SNIoE)

The European Physical Journal B: Condensed Matter and Complex Systems, 2025, vol. 98, issue 6, 1-10

Abstract: Abstract We investigate the behavior of the linear-response coefficients, when in-plane electric field ( $$\textbf{E}$$ E ) or/and temperature gradient ( $$\nabla _{\textbf{r}} T$$ ∇ r T ) is/are applied on a two-dimensional semimetal harboring anisotropic Dirac cones. The anisotropy is caused by (1) differing Fermi velocities along the two mutually perpendicular momentum axes, and (2) tilting parameters. Using the semiclassical Boltzmann formalism, we derive the forms of the response coefficients, in the absence and presence of a nonquantizing magnetic field $$\textbf{B}$$ B . The magnetic field affects the response only when it is oriented perpendicular to the plane of the material, with the resulting expressions computed with the help of the so-called Lorentz-force operator, appearing in the linearized Boltzmann equation. The solution has to be found in a recursive manner, which produces terms in powers of $$|\textbf{B}|$$ | B | . We discuss the validity of the Mott relation and the Wiedemann–Franz law for the Lorentz-operator-induced parts. Graphical abstract

Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1140/epjb/s10051-025-00945-y Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:eurphb:v:98:y:2025:i:6:d:10.1140_epjb_s10051-025-00945-y

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/10051

DOI: 10.1140/epjb/s10051-025-00945-y

Access Statistics for this article

The European Physical Journal B: Condensed Matter and Complex Systems is currently edited by P. Hänggi and Angel Rubio

More articles in The European Physical Journal B: Condensed Matter and Complex Systems from Springer, EDP Sciences
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().