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Related papers: Energy relaxation in edge modes in the quantum Hal…

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The quantum Hall effect (QHE), one example of a quantum phenomenon that occur on a truly macroscopic scale, has been attracting intense interest since its discovery in 1980 and has helped elucidate many important aspects of quantum physics.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 K. S. Novoselov , Z. Jiang , Y. Zhang , S. V. Morozov , H. L. Stormer , U. Zeitler , J. C. Maan , G. S. Boebinger , P. Kim , A. K. Geim

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,…

Mesoscale and Nanoscale Physics · Physics 2022-06-14 Florian Stäbler , Eugene Sukhorukov

We operate an on-demand source of single electrons in high perpendicular magnetic fields up to 30T, corresponding to a filling factor below 1/3. The device extracts and emits single charges at a tunable energy from and to a two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2011-03-30 C. Leicht , P. Mirovsky , B. Kaestner , F. Hohls , V. Kashcheyevs , E. V. Kurganova , U. Zeitler , T. Weimann , K. Pierz , H. W. Schumacher

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…

Mesoscale and Nanoscale Physics · Physics 2017-12-25 Amir Rosenblatt , Fabien Lafont , Ivan Levkivskyi , Ron Sabo , Itamar Gurman , Daniel Banitt , Moty Heiblum , Vladimir Umansky

We study the ground state and low-energy excitations of fractional quantum Hall systems on a disk at filling fraction $\nu = 5/2$, with Coulomb interaction and background confining potential. We find the Moore-Read ground state is stable…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Xin Wan , Kun Yang , E. H. Rezayi

Charge fractionalization is a possible emergent excitation in a low-dimensional system of interacting electrons. A known example is that of fractional charges in the fractional quantum Hall effect (FQHE) regime, which is a consequence of…

Mesoscale and Nanoscale Physics · Physics 2013-10-31 Hiroyuki Inoue , Anna Grivnin , Nissim Ofek , Izhar Neder , Moty Heiblum , Vladimir Umansky , Diana Mahalu

Using an atomic force microscope as a local voltmeter, we measure the Hall voltage profile in a 2D electron gas in the quantum Hall (QH) regime. We observe a linear profile in the bulk of the sample in the transition regions between QH…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Kent L. McCormick , Michael T. Woodside , Mike Huang , Mingshaw Wu , Paul McEuen , Cem Duruoz , J. S. Harris

Microscopic processes giving the energy gain and loss of a two-dimensional electron system in long-range potential fluctuations are studied theoretically at the breakdown of the quantum Hall effect in the case of even-integer filling…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Hiroshi Akera

We present a spectrum of experimental data on the fractional quantum Hall effect (FQHE) states in the first excited Landau level, obtained in an ultrahigh mobility two-dimensional electron system (2DES) and at very low temperatures and…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 W. Pan , J. S. Xia , H. L. Stormer , D. C. Tsui , C. Vicente , E. D. Adams , N. S. Sullivan , L. N. Pfeiffer , K. W. Baldwin , K. W. West

Two dimensional electron systems exhibiting the fractional quantum Hall effects are characterized by a quantized Hall conductance and a dissipationless bulk. The transport in these systems occurs only at the edges where gapless excitations…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Yogesh N. Joglekar , Hoang K. Nguyen , Ganpathy Murthy

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…

We use a novel sample geometry to study non-local effects of edge excitations in the integer quantum Hall effect regime. We find that the condition of local equilibrium at the quantum Hall edge is affected by the diffusion of dynamically…

Mesoscale and Nanoscale Physics · Physics 2011-01-21 E. V. Deviatov , A. Lorke , G. Biasiol , L. Sorba

Charge excitations in a two dimensional electron gas, under a quantizing magnetic field and in the fractional quantum Hall effect regime, flow in one dimensional-like strips along the edges of the sample. These excitations (quasiparticles)…

Mesoscale and Nanoscale Physics · Physics 2009-12-25 Moty Heiblum

We use the non-equilibrium bosonization technique to investigate effects of the Coulomb interaction on quantum Hall edge states at filing factor nu=2, partitioned by a quantum point contact (QPC). We find, that due to the integrability of…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Ivan P. Levkivskyi , Eugene V. Sukhorukov

We apply a voltage pulse to electrically excite the incompressible region of a two-dimensional electron liquid in the $\nu=2/3$ fractional quantum Hall state and investigate the collective excitations in both the edge and bulk via…

Mesoscale and Nanoscale Physics · Physics 2025-02-04 Quentin France , Yunhyeon Jeong , Akinori Kamiyama , Takaaki Mano , Ken-ichi Sasaki , Masahiro Hotta , Go Yusa

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 equilibration of quantum Hall edge states at integer filling factors, motivated by experiments involving point contacts at finite bias. Idealising the experimental situation and extending the notion of a quantum quench, we consider…

Strongly Correlated Electrons · Physics 2011-09-23 D. L. Kovrizhin , J. T. Chalker

The quantum Hall effect (QHE) is a topologically protected phenomenon which has been observed in various systems. In experiments, the size of Hall bar device to realize the QHE is generally much larger than the phase coherence length, in…

Mesoscale and Nanoscale Physics · Physics 2022-10-03 Fang Jing-Yun , Guo Ai-Min , Sun Qing-Feng

A unified approach to decoherence and relaxation of energy resolved single electron excitations in Integer Quantum Hall edge channels is presented. Within the bosonization framework, relaxation and decoherence induced by interactions and…

Mesoscale and Nanoscale Physics · Physics 2009-12-15 Pascal Degiovanni , Charles Grenier , Gwendal Fève

Evidence of both fractional and integer quantum hall effects (QHE) in three dimensional bulk replica opal (250nm diameter) structures of non-crystalline carbon are presented. In a remarkably soft quantum limit of ~ 40K temperature and about…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Timir Datta , Michael Bleiweiss , Anca Lungu , Ming Yin , Zafar Iqbal