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Metrological investigations of the quantum Hall effect (QHE) completed by transport measurements at low magnetic field are carried out in a-few-$\mu\mathrm{m}$-wide Hall bars made of monolayer (ML) or bilayer (BL) exfoliated graphene…

Mesoscale and Nanoscale Physics · Physics 2013-08-26 J. Guignard , D. Leprat , D. C. Glattli , F. Schopfer , W. Poirier

Our experimental studies of electron transport in wide (14 nm) HgTe quantum wells confirm persistence of a two-dimensional topological insulator state reported previously for narrower wells, where it was justified theoretically. Comparison…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 E. B. Olshanetsky , Z. D. Kvon , G. M. Gusev , A. D. Levin , O. E. Raichev , N. N. Mikhailov , S. A. Dvoretsky

The outstanding transport properties expected at the edge of two-dimensional time-reversal invariant topological insulators have proven to be challenging to realize experimentally, and have so far only been demonstrated in very short…

Mesoscale and Nanoscale Physics · Physics 2020-04-06 Luca Vannucci , Thomas Olsen , Kristian S. Thygesen

Nontrivial bulk topological invariants of quantum materials can leave their signatures on charge, thermal and spin transports. In two dimensions, their imprints can be experimentally measured from well-developed multiterminal Hall bar…

Mesoscale and Nanoscale Physics · Physics 2024-05-03 Sanjib Kumar Das , Bitan Roy

We study the heat transport along an edge state of a two-dimensional electron gas in the quantum Hall regime, in contact to two reservoirs at different temperatures. We consider two exactly solvable models for the edge state coupled to the…

Mesoscale and Nanoscale Physics · Physics 2013-10-23 H. Aita , L. Arrachea , C. Naón , E. Fradkin

We study numerically the edge magnetoconductance of a quantum spin Hall insulator in the presence of quenched nonmagnetic disorder. For a finite magnetic field B and disorder strength W on the order of the bulk gap E_g, the conductance…

Mesoscale and Nanoscale Physics · Physics 2010-10-08 Joseph Maciejko , Xiao-Liang Qi , Shou-Cheng Zhang

Heat transport has large potentialities to unveil new physics in mesoscopic systems. A striking illustration is the integer quantum Hall regime, where the robustness of Hall currents limits information accessible from charge transport.…

Mesoscale and Nanoscale Physics · Physics 2011-01-04 C. Altimiras , H. le Sueur , U. Gennser , A. Cavanna , D. Mailly , F. Pierre

We theoretically investigate electrical transport in a quantum Hall system hosting bulk and edge current carrying states. Spatially varying magnetic and electric confinement creates pairs of current carrying lines that drift in the same or…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 Puja Mondal , Alain Nogaret , Sankalpa Ghosh

Thermoelectric transport of two-dimensional quantum spin Hall systems are theoretically studied in narrow ribbon geometry. We find that at high temperature electrons in the bulk states dominate. By lowering temperature, the "perfectly…

Mesoscale and Nanoscale Physics · Physics 2010-04-12 Ryuji Takahashi , Shuichi Murakami

The thermal Hall conductance is a universal and topological property which characterizes the fractional quantum Hall (FQH) state. The quantized value of the thermal Hall conductance has only recently been measured experimentally in integer…

Strongly Correlated Electrons · Physics 2019-04-22 Amit Aharon-Steinberg , Yuval Oreg , Ady Stern

We investigate experimentally transport in gated microsctructures containing a band-inverted HgTe/Hg_{0.3}Cd_{0.7}Te quantum well. Measurements of nonlocal resistances using many contacts prove that in the depletion regime the current is…

Conductance of the edge modes as well as conductance across the co-propagating edge modes around the \nu = 4/3, 5/3 and 2 quantum Hall states are measured by individually exciting the modes. Temperature dependent equilibration rates of the…

Mesoscale and Nanoscale Physics · Physics 2021-08-18 Tanmay Maiti , Pooja Agarwal , Suvankar Purkait , G J Sreejith , Sourin Das , Giorgio Biasiol , Lucia Sorba , Biswajit Karmakar

We study experimentally the transport properties of "inverted" semiconductor HgTe-based quantum well, which is related to the two-dimensional topological insulator, in diffusive transport regime. We perform nonlocal electrical measurements…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 G. M. Gusev , Z. D. Kvon , O. A. Shegai , N. N. Mikhailov , S. A. Dvoretsky , J. C. Portal

Quantum spin Hall (QSH) insulators have unique electronic properties, comprising a band gap in their two-dimensional interior and one-dimensional spin-polarized edge states in which current flows ballistically. In scanning tunneling…

Transport measurements were made on four-terminal devices fabricated from InSb/Al_xIn_(1-x)Sb quantum well structures at temperatures from 1.5 to 300K. Negative bend resistance, which is characteristic of ballistic transport, was observed…

Mesoscale and Nanoscale Physics · Physics 2011-03-15 N. Goel , T. Jayasekera , K. Mullen , M. B. Santos , K. Suzuki , S. Miyashita , Y. Hirayama

Research focused on heat transport in the quantum Hall (QH) edge channel has successfully addressed fundamental theoretical questions surrounding the QH physics. However, the picture of the edge channel is complicated by the phenomenon of…

Mesoscale and Nanoscale Physics · Physics 2023-04-18 J. N. Moore , A. Kamiyama , T. Mano , G. Yusa

We study coherent spin transport through helical edge states of topological insulator tunnel-coupled to metallic leads. We demonstrate that unpolarized incoming electron beam acquires finite polarization after transmission through such a…

Mesoscale and Nanoscale Physics · Physics 2021-11-10 R. A. Niyazov , D. N. Aristov , V. Yu. Kachorovskii

In this letter we study the Hall conductivity in holographic models where translational invariance is broken by a lattice. We show that generic holographic theories will display a different temperature dependence in the Hall angle as to the…

High Energy Physics - Theory · Physics 2015-06-19 Mike Blake , Aristomenis Donos

We investigate edge reconstruction scenarios in the $\nu = 1$ quantum Hall state, focusing on configurations with upstream and downstream charge and neutral modes. Our analysis shows that the coexistence of upstream charge and neutral modes…

Mesoscale and Nanoscale Physics · Physics 2026-04-08 Sampurna Karmakar , Amulya Ratnakar , Sourin Das

In contrast to the case of ordinary quantum Hall effect, the resistance of ballistic helical edge channels in typical quantum spin-Hall experiments is non-vanishing, additive and poorly quantized. Here we present a simple argument…

Mesoscale and Nanoscale Physics · Physics 2019-01-21 S. K. Konyzheva , E. S. Tikhonov , V. S. Khrapai