2018
DOI: 10.1103/physrevb.97.205442
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Detection of topological phase transitions through entropy measurements: The case of germanene

Abstract: We propose a characterization tool for studies of the band structure of new materials promising for the observation of topological phase transitions. We show that a specific resonant feature in the entropy per electron dependence on the chemical potential may be considered as a fingerprint of the transition between topological and trivial insulator phases. The entropy per electron in a honeycomb two-dimensional crystal of germanene subjected to the external electric field is obtained from the first principles … Show more

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Cited by 20 publications
(16 citation statements)
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“…In 3D Weyl semimetals, the lower symmetry leads to a lifting of the fourfold degeneracy at the Dirac points, while the band structure remains gapless. However, in contrast to the 3D Dirac and Weyl semimetals, the 2D graphene-like honeycomb crystals show a SOC-induced gap opening between the upper and lower Dirac cones [18,19].…”
Section: Introductionmentioning
confidence: 96%
“…In 3D Weyl semimetals, the lower symmetry leads to a lifting of the fourfold degeneracy at the Dirac points, while the band structure remains gapless. However, in contrast to the 3D Dirac and Weyl semimetals, the 2D graphene-like honeycomb crystals show a SOC-induced gap opening between the upper and lower Dirac cones [18,19].…”
Section: Introductionmentioning
confidence: 96%
“…63 Therefore, it is essential to tune m through the VHS by chemical doping 76,77 or by gating. 17,57,[78][79][80][81] In recent work, 82 a simple technique of doping graphene by manipulating adsorbed impurities was reported, and a change in the electron mobility of 650% was observed. Also, it is worth paying experimental attention to the tuning of m through the VHS by the following two methods.…”
Section: Discussionmentioning
confidence: 99%
“…The DEP is an experimentally measurable quantity in gated 2D electron systems, allowing superior sensitivity in comparison to a.c. calorimetry [28], and can be directly linked to the thermoelectric power or alternatively to the Seebeck coefficient [43]. The DEP, s = ∂S e /∂N is found from the Maxwell relation as [28][29][30][31][32][33]…”
Section: A Differential Electronic Entropy Per Particlementioning
confidence: 99%
“…Both experimental and theoretical studies have revealed the electronic band structure and density of states (DOS) of TLG samples strongly depend on the stacking pattern they possess, showing significant changes under applied electrical potentials [19][20][21][22][23][24][25][26][27]. This makes TLG materials suitable to inspect the EC effect and novel thermodynamic quantities such as the differential entropy per particle (DEP) [28][29][30][31][32][33]. Through Bloch electrons in parametrized tight-binding models linked to Fermi statistics, we show how the thermal response varies within each TLG stacking as a result of the quantum-thermodynamic processes involved at low-energies.…”
Section: Introductionmentioning
confidence: 99%