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Quantum Hall states - the progenitors of the growing family of topological insulators -- are rich source of exotic quantum phases. The nature of these states is reflected in the gapless edge modes, which in turn can be classified as integer…

Mesoscale and Nanoscale Physics · Physics 2022-01-19 Bivas Dutta , Wenmin Yang , Ron Aharon Melcer , Hemanta Kumar Kundu , Moty Heiblum , Vladimir Umansky , Yuval Oreg , Ady Stern , David Mross

Graphene provides a fascinating testbed for new physics and exciting opportunities for future applications based on quantum phenomena. To understand the coherent flow of electrons through a graphene device, we employ a nanoscale probe that…

Mesoscale and Nanoscale Physics · Physics 2010-01-29 J. Berezovsky , M. F. Borunda , E. J. Heller , R. M. Westervelt

Since the ground-breaking discovery of the quantum Hall effect, half-quantized quantum Hall plateaus have been some of the most studied and sought-after states. Their importance stems not only from the fact that they transcend the composite…

The fractional quantum Hall (FQH) effect gives rise to abundant topological phases, presenting an ultimate platform for studying the transport of edge states. Generic FQH edge contains multiple edge modes, commonly including the…

Mesoscale and Nanoscale Physics · Physics 2024-07-03 Misha Yutushui , Jinhong Park , Alexander D. Mirlin

Thermoelectric conductance of an edge mode is investigated. The edge modes of a $2D $ and $3D$ two band model with parabolic dispersion is considered. For the the one dimensional non interacting fermions the thermal conductivity computed…

Mesoscale and Nanoscale Physics · Physics 2019-06-21 D. Schmeltzer

Recently, an exotic quantum Hall ferromagnet with spin-filtered helical edge modes was observed in monolayer graphene on a high-dielectric constant substrate at moderate magnetic fields, withstanding temperatures of up to 110 Kelvin [L.…

Disordered Systems and Neural Networks · Physics 2023-09-13 Yue-Ran Ding , Dong-Hui Xu , Chui-Zhen Chen

Strongly correlated electron liquids which occur in quantizing magnetic fields reveal a cornucopia of fascinating quantum phenomena such as fractionally charged quasiparticles, anyonic statistics, topological order, and many others. Probing…

Mesoscale and Nanoscale Physics · Physics 2010-03-09 D. A. Abanin , I. Skachko , X. Du , E. Y. Andrei , L. S. Levitov

We performed thermoelectric Hall conductivity $\alpha_{xy}$ measurements on single-crystal graphite in the quantum limit up to 13 T. Both electrical and thermoelectric transport measurements were performed on the same crystal to extract…

Mesoscale and Nanoscale Physics · Physics 2023-05-08 Andhika Kiswandhi , Tomotaka Ochi , Toshihiro Taen , Mitsuyuki Sato , Kazuhito Uchida , Toshihito Osada

Theory predicts that quasiparticle tunneling between the counter-propagating edges in a fractional quantum Hall state can be used to measure the effective quasiparticle charge e* and dimensionless interaction parameter g, and thereby…

Mesoscale and Nanoscale Physics · Physics 2008-05-18 Iuliana P. Radu , J. B. Miller , C. M. Marcus , M. A. Kastner , L. N. Pfeiffer , K. W. West

Electronic edge states in topological insulators have become a major paradigm in physics. The oldest and primary example is that of quantum Hall (QH) edge channels that propagate along the periphery of two-dimensional electron gases (2DEGs)…

Four-terminal resistances, both longitudinal and diagonal, of a locally gated graphene device are measured in the quantum-Hall (QH) regime. In sharp distinction from previous two-terminal studies [J. R. Williams \textit{et al.}, Science…

Mesoscale and Nanoscale Physics · Physics 2012-03-05 Dong-Keun Ki , Hu-Jong Lee

We report on the first measurement of the thermal conductivity of a suspended single layer graphene. The measurements were performed using a non-contact optical technique. The near room-temperature values of the thermal conductivity in the…

Materials Science · Physics 2008-03-15 A. A. Balandin , S. Ghosh , W. Bao , I. Calizo , D. Teweldebrhan , F. Miao , C. N. Lau

We analytically compute the thermal Hall conductance (THC) of fractional quantum Hall droplets under realistic conditions that go beyond the idealized linear edge theory with conformal symmetry. Specifically, we consider finite-size effects…

Mesoscale and Nanoscale Physics · Physics 2025-10-21 Fei Tan , Yuzhu Wang , Xinghao Wang , Bo Yang

The Pfaffian state, which may describe the quantized Hall plateau observed at Landau level filling fraction $\nu = 5/2$, can support topologically-protected qubits with extremely low error rates. Braiding operations also allow perfect…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Michael Freedman , Chetan Nayak , Kevin Walker

Graphene has drawn wide attention due to its exceptional thermal conductivity but complete understanding of thermal characteristics of polycrystalline graphene is still elusive to date. For the first time, herein, we have systematically…

Materials Science · Physics 2013-04-26 Young I. Jhon , Myung S. Jhon

The quest for non-Abelian quasiparticles has inspired decades of experimental and theoretical efforts, where the scarcity of direct probes poses a key challenge. Among their clearest signatures is a thermal Hall conductance with quantized…

Mesoscale and Nanoscale Physics · Physics 2020-12-07 I. C. Fulga , Yuval Oreg , Alexander D. Mirlin , Ady Stern , David F. Mross

Pioneering thermal transport measurements on two-dimensional electron gases in high magnetic fields have demonstrated that the quantized Hall state at filling factor $\nu=5/2$ has a thermal Hall conductance $\kappa$ quantized in…

Mesoscale and Nanoscale Physics · Physics 2025-07-11 Tevž Lotrič , Taige Wang , Michael P. Zaletel , Steven H. Simon , S. A. Parameswaran

We have recently identified a protected topological semimetal in graphene which presents a zero-energy edge mode robust to disorder and interactions. Here, we address the characteristics of this semimetal and show that the $\mathbb{Z}$…

Mesoscale and Nanoscale Physics · Physics 2025-12-15 Karyn Le Hur , Sariah Al Saati

The quantum corrections to the conductivity and the thermopower in monolayer graphene are studied. We use the recursive Green's function method to calculate numerically the conductivity and the thermopower of graphene. We then analyze these…

Mesoscale and Nanoscale Physics · Physics 2014-02-19 Aleksander P. Hinz , Eduardo R. Mucciolo , Stefan Kettemann

Close to the Dirac point, graphene is expected to exist in quantum critical Dirac fluid state, where the flow of both charge and heat can be described with a dc electrical conductivity $\sigma_\mathrm{Q}$, and thermodynamic variables such…