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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…

介观与纳米尺度物理 · 物理学 2015-06-04 Vivek Venkatachalam , Sean Hart , Loren Pfeiffer , Ken West , Amir Yacoby

We consider a model for an edge state of electronic systems in the quantum Hall regime with filling $\nu=1$ and in the quantum spin Hall regime. In both cases the system is in contact with two reservoirs by tunneling at point contacts. Both…

介观与纳米尺度物理 · 物理学 2015-05-30 Liliana Arrachea , Eduardo Fradkin

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.…

介观与纳米尺度物理 · 物理学 2011-01-04 C. Altimiras , H. le Sueur , U. Gennser , A. Cavanna , D. Mailly , F. Pierre

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…

介观与纳米尺度物理 · 物理学 2013-10-23 H. Aita , L. Arrachea , C. Naón , E. Fradkin

We investigate nonequilibrium effects in the transport of interacting electrons in quantum conductors, proposing the nonlocal thermoelectric response as a direct indicator of the presence of interactions, nonthermal states and the effect of…

介观与纳米尺度物理 · 物理学 2024-05-10 Alessandro Braggio , Matteo Carrega , Björn Sothmann , Rafael Sánchez

We develop a theory of heat transport in non-chiral transmission lines (TLs) of quantum Hall edge channels coupled to Ohmic contacts (OCs) that accounts for a dynamical accumulation of charge in the reservoirs. As a consequence, heat…

介观与纳米尺度物理 · 物理学 2024-11-28 Florian Stäbler , Alioune Gadiaga , Eugene V. Sukhorukov

Two-dimensional topological insulators, and in particular quantum Hall states, are characterized by an insulating bulk and a conducting edge. Fractional states may host both downstream (dictated by the magnetic field) and upstream…

介观与纳米尺度物理 · 物理学 2022-04-06 Ron Aharon Melcer , Bivas Dutta , Christian Spånslätt , Jinhong Park , Alexander D. Mirlin , Vladimir Umansky

A set of stacked two-dimensional electron systems in a perpendicular magnetic field exhibits a three-dimensional version of the quantum Hall effect if interlayer tunneling is not too strong. When such a sample is in a quantum Hall plateau,…

介观与纳米尺度物理 · 物理学 2009-11-11 J. W. Tomlinson , J. -S. Caux , J. T. Chalker

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…

介观与纳米尺度物理 · 物理学 2023-04-18 J. N. Moore , A. Kamiyama , T. Mano , G. Yusa

We address the experimentally relevant situation, where a non-equilibrium state is created at the edge of a quantum Hall system by injecting charge current into a chiral edge state with the help of a quantum point contact, quantum dots, or…

介观与纳米尺度物理 · 物理学 2025-01-17 Edvin G. Idrisov , Ivan P. Levkivskyi , Eugene V. Sukhorukov

Heat transport in the quantum Hall regime is investigated using micron-scale heaters and thermometers positioned along the edge of a millimeter-scale two dimensional electron system (2DES). The heaters rely on localized current injection…

介观与纳米尺度物理 · 物理学 2012-08-28 G. Granger , J. P. Eisenstein , J. L. Reno

Measurements of the energy relaxation in the integer quantum hall edge at filling factor $\nu=2$ suggest the breakdown of heat current quantization [H. le Sueur et al., Phys. Rev. Lett. 105, 056803]. It was shown, in a hydrodynamic model,…

介观与纳米尺度物理 · 物理学 2022-06-14 Florian Stäbler , Eugene Sukhorukov

Local measurements of heat flux in Quantum Hall devices can deviate from the expected equilibrium heat flux due to interactions. We present a model of a simple mesoscopic device consisting of an Ohmic reservoir contacted by chiral edge…

介观与纳米尺度物理 · 物理学 2023-07-07 Florian Stäbler , Eugene Sukhorukov

Heat transport in multiple quantum-Hall edge channels at Landau-level filling factor nu = 2, 4, and 8 is investigated with a quantum point contact as a heat generator and a quantum dot as a local thermometer. Heat distribution among the…

介观与纳米尺度物理 · 物理学 2022-07-13 Ryota Konuma , Chaojing Lin , Tokuro Hata , Taichi Hirasawa , Takafumi Akiho , Koji Muraki , Toshimasa Fujisawa

We analyze thermal transport in the fractional quantum Hall effect (FQHE), employing a Luttinger liquid model of edge states. Impurity mediated inter-channel scattering events are incorporated in a hydrodynamic description of heat and…

凝聚态物理 · 物理学 2009-10-28 C. L. Kane , Matthew P. A. Fisher

The quantum anomalous Hall effect shows great promise for realization of the ohm without the need for an external magnetic field. The most mature material platform is magnetically doped topological insulators. In these materials, precise…

介观与纳米尺度物理 · 物理学 2025-11-21 Valery Ortiz Jimenez , Paul M. Haney , Farzad Mahfouzi , Ngoch Thanh Mai Tran , Albert F. Rigosi , Curt A. Richter

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…

强关联电子 · 物理学 2019-04-22 Amit Aharon-Steinberg , Yuval Oreg , Ady Stern

Hole-conjugate states of the fractional quantum Hall effect host counter-propagating edge channels which are thought to exchange charge and energy. These exchanges have been the subject of extensive theoretical and experimental works; in…

Controlling the transmission of electrical current using a quantum point contact constriction paved a way to a large variety of experiments in mesoscopic physics. The increasing interest in heat transfer in such systems fosters questions…

介观与纳米尺度物理 · 物理学 2017-12-25 Amir Rosenblatt , Fabien Lafont , Ivan Levkivskyi , Ron Sabo , Itamar Gurman , Daniel Banitt , Moty Heiblum , Vladimir Umansky

Integrability of electron dynamics in one dimension is manifested by the non-equilibrium stationary states. They emerge near a point contact coupling two quantum Hall edges with different chemical potentials. I use the non-equilibrium…

介观与纳米尺度物理 · 物理学 2016-04-27 Ivan P. Levkivskyi
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