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The crossover from the quantum Hall regime to the Hall-insulator is investigated by varying the strength of the diagonal disorder in a 2d tight-binding model. The Hall and longitudinal conductivities and the behavior of the critical states…

Disordered Systems and Neural Networks · Physics 2009-10-31 H. Potempa , A. Bäker , L. Schweitzer

Steady-state currents generically occur both in systems with continuous translation invariance and in nonequilibrium settings with particle drift. In either case, thermal fluctuations advected by the current act as a source of noise for…

Statistical Mechanics · Physics 2025-03-05 Ewan McCulloch , Romain Vasseur , Sarang Gopalakrishnan

We study the transport properties of the quantum Hall bilayers systems looking closely at the effect that disorder and electron-phonon interaction have on the interlayer tunnelling current in the presence of an in-plane magnetic field…

Strongly Correlated Electrons · Physics 2010-02-25 O. G. C. Ros , D. K. K. Lee

The persistent Hall voltage and current in an isolated annulus in a strong perpendicular magnetic field, at odd inverse filling factor, and in the presence of a weak constriction is obtained as a function of temperature, and flux piercing…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Stefan Kettemann

We performed noise measurements in a two-dimensional electron gas to investigate the nonequilibrium quantum Hall effect (QHE) state. While excess noise is perfectly suppressed around the zero-biased QHE state reflecting the dissipationless…

We report on recent experiments investigating the modification of the inter-band optical response of a piezoelectric semiconductor quantum well structure under the influence of intense short period surface acoustic waves. Experimentally, we…

Condensed Matter · Physics 2008-02-03 C. Rocke , A. Wixforth , J. P. Kotthaus , H. Boehm , G. Weimann

We study transport between Quantum Hall (QH) edge states at filling factor $\nu = 1$ in the presence of electron-acoustic-phonon coupling. Performing a Bogoliubov-Valatin (BV) trasformation the low-energy spectrum of interacting…

Mesoscale and Nanoscale Physics · Physics 2019-10-22 Edvin G. Idrisov

Quantum wells constitute one of the most important classes of devices in the study of 2D systems. In a double layer QW, the additional "which-layer" degree of freedom gives rise to celebrated phenomena such as Coulomb drag, Hall drag and…

Exploring new Hall effect is always a fascinating research topic. The ordinary Hall effect and the quantum Hall effect, initially discovered in two-dimensional (2D) non-magnetic systems, are the phenomena that a transverse current is…

Mesoscale and Nanoscale Physics · Physics 2024-05-27 Chaoxi Cui , Run-Wu Zhang , Yilin Han , Zhi-Ming Yu , Yugui Yao

We show that acoustic crystalline wave gives rise to an effect similar to that of a gravitational wave to an electron gas. Applying this idea to a two-dimensional electron gas in the fractional quantum Hall regime, this allows for…

Strongly Correlated Electrons · Physics 2016-04-19 Kun Yang

We study the persistent edge current in the fractional quantum Hall effect. We give the grand partition functions for edge excitations of hierarchical states coupled to an Aharanov-Bohm flux and derive the exact formula of the persistent…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Kazusumi Ino

By deriving analytical formulae for the quantization accuracy of the acoustoelectric current, we reveal that: 1) the flatness of the current plateau for the typical present devices has reached the theoretical limit of about 100ppm over a…

Mesoscale and Nanoscale Physics · Physics 2011-06-01 Xiang-Bai Chen , Xiang-Song Chen , Jie Gao

The chiral topological superconductor, which supports propagating nontrivial edge modes while maintaining a gapped bulk, can be realized hybridizing a quantum-anomalous-Hall thin slab with an ordinary $s$-wave superconductor. We show that…

Mesoscale and Nanoscale Physics · Physics 2023-11-17 Daniele Di Miceli , Llorenç Serra

We study various geometrical aspects of the propagation of particles obeying fractional statistics in the physical setting of the quantum Hall system. We find a discrete set of zeros for the two-particle kernel in the lowest Landau level;…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Diptiman Sen , Michael Stone , Smitha Vishveshwara

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

We study theoretically interaction between electrons in a quantum ring embedded in a microcavity and vacuum fluctuations of electromagnetic field in the cavity. It is shown that the vacuum fluctuations can split electron states of the ring…

Mesoscale and Nanoscale Physics · Physics 2013-07-02 O. V. Kibis , O. Kyriienko , I. A. Shelykh

We predict a photoinduced Hall effect in an isotropic conventional two-dimensional superconductor with a built-in supercurrent exposed to a circularly-polarized light. This second-order with respect to the electromagnetic field amplitude…

Superconductivity · Physics 2024-02-06 A. V. Parafilo , V. M. Kovalev , I. G. Savenko

At very large tilt of the magnetic (B) field with respect to the plane of a two-dimensional electron system the transport in the integer quantum Hall regime at $\nu$ = 4, 6, and 8 becomes strongly anisotropic. At these filling factors the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 W. Pan , H. L. Stormer , D. C. Tsui , L. N. Pfeiffer , K. W. Baldwin , K. W. West

In the quantum Hall effect regime, taking place in a two-dimensional-electron gas under strong magnetic field, currents flow along the edges of the sample. For some particle-hole conjugate states of the fractional regime, e.g., with filling…

Mesoscale and Nanoscale Physics · Physics 2011-04-07 Aveek Bid , Nissim Ofek , Hiroyuki Inoue , Moty Heiblum , Charles Kane , Vladimir Umansky , Diana Mahalu

Many properties of black holes can be studied using acoustic analogues in the laboratory through the propagation of sound waves. We investigate in detail sound wave propagation in a rotating acoustic (2+1)-dimensional black hole, which…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Emanuele Berti , Vitor Cardoso , Jose' P. S. Lemos