# Lifshitz transition and thermoelectric properties of bilayer graphene

@article{Suszalski2017LifshitzTA,
title={Lifshitz transition and thermoelectric properties of bilayer graphene},
author={Dominik Suszalski and G. Rut and A. Rycerz},
journal={Physical Review B},
year={2017},
volume={97},
pages={125403}
}
• Published 2017
• Physics
• Physical Review B
This is a numerical study of thermoelectric properties of ballistic bilayer graphene in the presence of trigonal warping term in the effective Hamiltonian. We find, in the mesoscopic samples of the length $L>10\,\mu{}$m at sub-Kelvin temperatures, that both the Seebeck coefficient and the Lorentz number show anomalies (the additional maximum and minimum, respectively) when the electrochemical potential is close to the Lifshitz energy, which can be attributed to the presence of the van Hove… Expand
7 Citations

#### Figures from this paper

Thermoelectric properties of gapped bilayer graphene.
• Physics, Medicine
• Journal of physics. Condensed matter : an Institute of Physics journal
• 2019
The Seebeck coefficients for abrupt interface separating weakly- and heavily-doped areas in BLG are calculated and thermoelectric figure of merit is noticeably enhanced when a rigid substrate suppresses out-of-plane vibrations, reducing the contribution from ZA phonons to the thermal conductivity. Expand
Wiedemann–Franz Law for Massless Dirac Fermions with Implications for Graphene
By adapting the handbook derivation of the WF law to the case of massless Dirac fermions, it is shown that significantly enhanced thermal conductivity should appear also in few- or even sub-kelvin temperatures, where the role of interactions can be neglected. Expand
Some thermodynamical peculiarities at the Lifshitz topological transitions in trigonally warped AB-stacked bilayer graphene and graphite near K points
ABSTRACT Similarity has been proven between the Lifshitz topological transitions (LTT) in AB-stacked trigonally warped bilayer graphene (TWBG) and graphite near K points. The density of states (DOS)Expand
Conductivity scaling and the effects of symmetry-breaking terms in bilayer graphene Hamiltonian
• Physics, Materials Science
• 2019
We study the ballistic conductivity of bilayer graphene in the presence of symmetry-breaking terms in effective Hamiltonian for low-energy excitations, such as the trigonal-warping term ($\gamma_3$),Expand
Thermal transport driven by charge imbalance in graphene in a magnetic field close to the charge neutrality point at low temperature: Nonlocal resistance
• Physics
• 2019
Graphene grown epitaxially on SiC, close to the charge neutrality point (CNP), in an orthogonal magnetic field shows an ambipolar behavior of the transverse resistance accompanied by a puzzlingExpand
Higher Harmonic Generation of Coherent Sub-THz Radiation at Lifshitz Transition in Gapped Bilayer Graphene
• Physics
• 2020
Using the microscopic nonlinear quantum theory of interaction of strong coherent electromagnetic radiation with a gapped bilayer graphene is developed for high harmonic generation at low-energyExpand
Second and third harmonics generation by coherent sub-THz radiation at induced Lifshitz transitions in gapped bilayer graphene
Using the microscopic nonlinear quantum theory of interaction of strong coherent electromagnetic radiation with a gapped bilayer graphene is developed for high harmonic generation at low-energyExpand

#### References

SHOWING 1-10 OF 116 REFERENCES
Anomalous thermoelectric transport of Dirac particles in graphene.
• Physics, Medicine
• Physical review letters
• 2009
The results underscore the anomalous thermoelectric transport in graphene, which may be used as a highly sensitive probe for impurity bands near the Dirac point. Expand
Thermoelectric properties of graphene nanoribbons, junctions and superlattices.
• Materials Science, Medicine
• Journal of physics. Condensed matter : an Institute of Physics journal
• 2010
It is demonstrated that chevron-type GNRs recently synthesized should display superior thermoelectric properties and that increasing the number of interfaces in a single GNR system increases the peak ZT values that are thus maximized in a periodic superlattice. Expand
Minimal conductivity and signatures of quantum criticality in ballistic graphene bilayer
• Physics
• 2014
We study the ballistic conductivity of graphene bilayer in the presence of next-nearest neighbor hoppings between the layers. An undoped and unbiased system was found in Rut G. and Rycerz A., Phys.Expand
Evidence for a spontaneous gapped state in ultraclean bilayer graphene
• W. Bao, +6 authors C. N. Lau
• Physics, Medicine
• Proceedings of the National Academy of Sciences
• 2012
A bimodal distribution of minimum conductivities at the charge neutrality point is observed in single and double-gated bilayer graphene devices that have both high mobility and low extrinsic doping. Expand
Thermoelectric transport of massive Dirac fermions in bilayer graphene
• Physics
• 2010
Thermoelectric power (TEP) is measured in bilayer graphene for various temperatures and charge-carrier densities. At low temperatures, measured TEP well follows the semiclassical Mott formula with aExpand
Thermal and thermoelectric properties of graphene.
• Materials Science, Physics
• Small
• 2014
It is shown that the superior thermal conductivity of graphene is contributed not only by large ballistic thermal conductance but also by very long phonon mean free path (MFP), which results in important isotope effects and size effects on thermal conduction. Expand
Thermal conductivity of graphene and graphite
• Materials Science
• 2013
The thermal conductivities of graphene and graphite are computed within the framework of Callaway's effective relaxation time theory. Analytical expressions derived by Nihira and Iwata for phononExpand
Thermopower and Nernst effect in graphene in a magnetic field
• Physics
• 2009
We report measurements of the thermopower $S$ and Nernst signal $S_{yx}$ in graphene in a magnetic field $H$. Both quantities show strong quantum oscillations vs. the gate voltage $V_g$. OurExpand
Kondo quantum criticality of magnetic adatoms in graphene.
• Physics, Medicine
• Physical review letters
• 2011
It is proposed that the vicinity of the Kondo quantum critical point can be directly accessed with scanning tunneling probes and gating, and it is shown that the exchange coupling in graphene can be controlled across the quantum critical region by gating. Expand
Thermoelectric effects in graphene nanostructures.
• Materials Science, Medicine
• Journal of physics. Condensed matter : an Institute of Physics journal
• 2015
The main results obtained experimentally and theoretically on the thermoelectric properties of graphene and its nanostructures are reviewed, emphasizing the physical effects that govern these properties. Expand