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Using the Landauer formulation of transport theory, we predict that dielectric quantum wires should exhibit quantized thermal conductance at low temperatures in a ballistic phonon regime. The quantum of thermal conductance is universal,…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Luis G. C. Rego , George Kirczenow

A system of electrons in two dimensions and strong magnetic fields can be tuned to create a gapped 2D system with one dimensional channels along the edge. Interactions among these edge modes can lead to independent transport of charge and…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Vivek Venkatachalam , Sean Hart , Loren Pfeiffer , Ken West , Amir Yacoby

Considering a range of candidate quantum phases of matter, half-integer thermal conductance ($\kappa_{\text{th}}$) is believed to be an unambiguous evidence of non-Abelian states. It has been long known that such half-integer values arise…

Mesoscale and Nanoscale Physics · Physics 2026-03-31 Ujjal Roy , Sourav Manna , Souvik Chakraborty , Kenji Watanabe , Takashi Taniguchi , Ankur Das , Moshe Goldstein , Yuval Gefen , Anindya Das

We present systematic thermal conductivity measurements of suspended thin graphite ribbons, 234-527 nm thick, using a four-probe 3-omega method. Unlike recent reports of phonon hydrodynamics and exceptionally high thermal conductivity in…

Mesoscale and Nanoscale Physics · Physics 2025-09-16 Wonjae Jeon , Yu Pei , Xun Li , Lucas Lindsay , Sangyeop Lee , Renkun Chen

An important route of engineering topological states and excitations is to combine superconductors (SC) with the quantum Hall (QH) effect, and over the past decade, significant progress has been made in this direction. While typical…

We present the results of million atom electronic quantum transport calculations for graphene nanoconstrictions with edges that are smooth apart from atomic scale steps. We find conductances quantized in integer multiples of 2e2/h and a…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 S. Ihnatsenka , G. Kirczenow

We reveal an intriguing manifestation of topology, which appears in the depletion rate of topological states of matter in response to an external drive. This phenomenon is presented by analyzing the response of a generic 2D Chern insulator…

Quantum Gases · Physics 2017-08-23 D. T. Tran , A. Dauphin , A. G. Grushin , P. Zoller , N. Goldman

Owing to their wide tunability, spin- and valley internal degrees of freedom, and low disorder, graphene heterostructures are emerging as a promising experimental platform for fractional quantum Hall (FQH) studies. Surprisingly, however,…

Strongly Correlated Electrons · Physics 2018-12-05 Hryhoriy Polshyn , Haoxin Zhou , Eric. M. Spanton , Takashi Taniguchi , Kenji Watanabe , Andrea F. Young

The quantum of heat conductance of ballistic one-dimensional (1D) channels, being gQ=k0T with k0=pi^2*2kB^2/3h (T - temperature, kB - Boltzmann's constant, h - Planck's constant), is an important fundamental constant. While the quantization…

Mesoscale and Nanoscale Physics · Physics 2017-05-24 Mitali Banerjee , Moty Heiblum , Amir Rosenblatt , Yuval Oreg , Dima E. Feldman , Ady Stern , Vladimir Umansky

The \nu=5/2 anti-Pfaffian state and the \nu=2/3 state are believed to have an edge composed of counter-propagating charge and neutral modes. This situation allows the generation of a pure thermal bias between two composite edge states…

Strongly Correlated Electrons · Physics 2012-10-09 Giovanni Viola , Sourin Das , Eytan Grosfeld , Ady Stern

Using a generalized Landauer approach we study the non-linear transport in mesoscopic graphene with zig-zag and armchair edges. We find that for clean systems, the low-bias low-temperature conductance, G, of an armchair edge system in…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 N. M. R. Peres , A. H. Castro Neto , F. Guinea

We study the effect of backward scatterings in the tunneling at a point contact between the edges of a second level hierarchical fractional quantum Hall states. A universal scaling dimension of the tunneling conductance is obtained only…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 K. Imura , N. Nagaosa

We investigate the universal properties of quantum transport in graphene nanowires that engender subtle universal conductance fluctuations. We present results for three of the main microscopic models that describe the sublattice of graphene…

Mesoscale and Nanoscale Physics · Physics 2020-09-07 Louis G. C. S. Sá , A. L. R. Barbosa , J. G. G. S. Ramos

The quantum Hall effect is a remarkable manifestation of quantized transport in a two-dimensional electron gas. Given its technological relevance, it is important to understand its development in realistic nanoscale devices. In this work we…

Mesoscale and Nanoscale Physics · Physics 2013-01-08 I. J. Vera-Marun , P. J. Zomer , A. Veligura , M. H. D. Guimarães , L. Visser , N. Tombros , H. J. van Elferen , U. Zeitler , B. J. van Wees

Non-abelian anyons are prospective candidates for fault-tolerant topological quantum computation due to their long-range entanglement. Curiously these quasiparticles are charge-neutral, hence elusive to most conventional measurement…

Mesoscale and Nanoscale Physics · Physics 2022-10-05 Bivas Dutta , Vladimir Umansky , Mitali Banerjee , Moty Heiblum

The nature of edge state transport in quantum Hall systems has been studied intensely ever since Halperin [1] noted its importance for the quantization of the Hall conductance. Since then, there have been many developments in the study of…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 Casey Nosiglia , Jinhong Park , Bernd Rosenow , Yuval Gefen

Physical systems with non-trivial topological order find direct applications in metrology[1] and promise future applications in quantum computing[2,3]. The quantum Hall effect derives from transverse conductance, quantized to unprecedented…

Atomic Physics · Physics 2019-05-09 Dina Genkina , Lauren M. Aycock , Hsin-I Lu , Alina M. Pineiro , Mingwu Lu , I. B. Spielman

We obtain analytic expressions for the conductivity of pristine (pure) graphene in the framework of the Dirac model using the polarization tensor in (2+1)-dimensions defined along the real frequency axis. It is found that at both zero and…

Materials Science · Physics 2016-07-13 G. L. Klimchitskaya , V. M. Mostepanenko

The quantum Hall effect in a 2D electron system expresses a topological invariant, leading to a quantized conductivity. The thermal Hall and thermoelectric Nernst conductances in two dimensions are also reported to be quantized in specific…

Mesoscale and Nanoscale Physics · Physics 2021-03-30 Jonathan Noky , Johannes Gooth , Yan Sun , Claudia Felser

We report the experimental observation of conductance quantization in graphene nanoribbons, where 1D transport subbands are formed due to the lateral quantum confinement. We show that this quantization in graphene nanoribbons can be…

Mesoscale and Nanoscale Physics · Physics 2008-12-18 Yu-Ming Lin , Vasili Perebeinos , Zhihong Chen , Phaedon Avouris