Breakdown of the Wiedemann-Franz law in AB-stacked bilayer graphene

Zarenia, Mohammad; Smith, Thomas Benjamin; Principi, Alessandro; Vignale, Giovanni

doi:10.1103/physrevb.99.161407

Breakdown of the Wiedemann-Franz law in $A B$ -stacked bilayer graphene

Journal Article · Fri Apr 26 00:00:00 EDT 2019 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.99.161407· OSTI ID:1609684

Zarenia, Mohammad ^[1]; Smith, Thomas Benjamin ^[2]; Principi, Alessandro ^[2]; Vignale, Giovanni ^[3]

Univ. of Missouri, Columbia, MO (United States); DOE/OSTI
Univ. of Manchester (United Kingdom)
Univ. of Missouri, Columbia, MO (United States); National Univ. of Singapore (Singapore); Yale-NUS College (Singapore)

We present a simple theory of thermoelectric transport in bilayer graphene and report our results for the electrical resistivity, the thermal resistivity, the Seebeck coefficient, and the Wiedemann-Franz ratio as functions of doping density and temperature. In the absence of disorder, the thermal resistivity tends to zero as the charge neutrality point is approached; the electric resistivity jumps from zero to an intrinsic finite value, and the Seebeck coefficient diverges in the same limit. Even though these results are similar to those obtained for single-layer graphene, their derivation is considerably more delicate. Here, the singularities are removed by the inclusion of a small amount of disorder, which leads to the appearance of a “window” of doping densities 0 < n < n_c (with n_c tending to zero in the zero-disorder limit) in which the Wiedemann-Franz law is severely violated.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Missouri, Columbia, MO (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: FG02-05ER46203

OSTI ID:: 1609684

Alternate ID(s):: OSTI ID: 1509508

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 16 Vol. 99; ISSN 2469-9950; ISSN PRBMDO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited By (5)

Electronic Thermal Transport Measurement in Low-Dimensional Materials with Graphene Nonlocal Noise Thermometry Waissman, Jonah; Anderson, Laurel E.; Talanov, Artem V. arXiv https://doi.org/10.48550/arxiv.2101.01737	text	January 2021
Quantum Boltzmann equation for bilayer graphene Nguyen, Dung X.; Wagner, Glenn; Simon, Steven H. Physical Review B, Vol. 101, Issue 3 https://doi.org/10.1103/physrevb.101.035117	journal	January 2020
Enhanced hydrodynamic transport in near magic angle twisted bilayer graphene Zarenia, Mohammad; Yudhistira, Indra; Adam, Shaffique Physical Review B, Vol. 101, Issue 4 https://doi.org/10.1103/physrevb.101.045421	journal	January 2020
Transport in Bilayer Graphene near Charge Neutrality: Which Scattering Mechanisms Are Important? Wagner, Glenn; Nguyen, Dung X.; Simon, Steven H. Physical Review Letters, Vol. 124, Issue 2 https://doi.org/10.1103/physrevlett.124.026601	journal	January 2020
Transport in bilayer graphene near charge neutrality: Which scattering mechanisms are important? Wagner, Glenn; Nguyen, Dung X.; Simon, Steven H. arXiv https://doi.org/10.48550/arxiv.1905.09835	text	January 2019

Figures / Tables (2)

Figure 1(p. 3)

Figure 2(p. 5)

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75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
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materials science
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Breakdown of the Wiedemann-Franz law in AB -stacked bilayer graphene

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