The Whipple Museum and Cavendish Laboratory, Cambridge

Pippard, Brian

doi:10.1007/978-3-7643-8933-8_1

Cited by 1 publication

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“…But, the strongly correlated systems exhibit an anomalous charge magnetotransport [3]. A similar situation prevails for universal nonzero direct-current (DC) graphene minimum conductivity (scale range of 4e 2 h [4] -6e 2 h [5,6] depending on support type) when the linear response theory predicts vanishing electrical conductivity for direct current (DC) or 4e 2 πh for the low-frequency conductivity in pure graphene [7,8]. Here, h is the Planck constant, and e is the electron charge.…”

Section: Introductionmentioning

confidence: 85%

“…Thanks to the strong electron-hole correlations, the electrophysical and optical properties of the graphene are very unusual. According to the linear response theory, the temperature dependence of the Hall conductivity for Fermi liquid, to which most metals belong, does not depend upon temperature [2]. But, the strongly correlated systems exhibit an anomalous charge magnetotransport [3].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Anomalous Charge Transport Properties and Band Flattening in Graphene: A Quasi-Relativistic Tight-Binding Study of Pseudo-Majorana States

Grushevskaya¹,

Krylov²

2023

Graphene - A Wonder Material for Scientists and Engineers

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Anomalous charge carrier transport in graphene is studied within a topologically nontrivial quasi-relativistic graphene model. The model predicts additional topological contributions, such as the Majorana-like mass-term correction to the ordinary ohmic component of the current, the spin-orbital-coupling, “Zitterbewegung”-effect corrections to conductivity in space, and time dispersion regime. The corrections appear due to non-Abelian quantum statistics for the charge carriers in graphene. The chiral anomaly of electrophysical and optical properties may emerge due to a deconfinement of the pseudo-Majorana quasiparticles. It has been shown that phenomena of negative differential conductivity, loss of universal far-infrared optical conductivity, and nonzero “minimal” direct-current conductivity in graphene occur due to flattening and vorticity of the pseudo-Majorana model graphene energy bands.

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