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The mapping between the metal-insulator transition of the quantum Hall system and a superfluid-to-insulator transition is revisited based on a disordered anyon model. The one-parameter scaling of the superfluid-to-insulator transition is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Xiao-Qian Wang

Quantum Hall (QH) states are predicted to display an intriguing non-dissipative stress response to a shear deformation rate, a phenomenon variously known as asymmetric or Hall viscosity, or Lorentz shear response. Just as the QH effect…

Mesoscale and Nanoscale Physics · Physics 2013-12-10 Rudro R. Biswas

Anomalous Hall effect (AHE) is important for understanding the topological properties of electronic states, and provides insight into the spin-polarized carriers of magnetic materials. AHE has been extensively studied in metallic, but not…

Mesoscale and Nanoscale Physics · Physics 2014-06-24 R. M. Qiao , S. S. Yan , T. S. Xu , M. W. Zhao , Y. X. Chen , G. L. Liu , W. L. Yang , R. K. Zheng , L. M. Mei

The frequency dependent transport is investigated for a two-dimensional disordered system under QHE conditions. The real and imaginary parts of the conductivity are calculated numerically in linear response using a recursive Green function…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Bäker , L. Schweitzer

Quantum transport properties in quantum Hall wires in the presence of spatially correlated random potential are investigated numerically. It is found that the potential correlation reduces the localization length associated with the edge…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Tohru Kawarabayashi , Yoshiyuki Ono , Tomi Ohtsuki , Stefan Kettemann , Alexander Struck , Bernhard Kramer

We develop a systematic theory of the Hall effect in Q1D conductors in both weak and strong magnetic fields for a model where the electron relaxation time varies over the Fermi surface. At high temperatures, the Hall coefficient saturates…

Condensed Matter · Physics 2007-05-23 Victor M. Yakovenko , Anatoley T. Zheleznyak

Scaling properties of the quantum Hall metal-insulator transition are severely affected by finite size effects in small systems. Surprisingly, despite the narrow spatial range where probability structure functions exhibit multifractal…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 L. Moriconi , Ana L. C. Pereira , P. A. Schulz

We study the four-terminal resistance fluctuations of mesoscopic samples near the transition between the $\nu=2$ and the $\nu=1$ quantum Hall states. We observe near-perfect correlations between the fluctuations of the longitudinal and Hall…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 E. Peled , D. Shahar , Y. Chen , E. Diez , D. L. Sivco , A. Y. Cho

We investigate the Hall effect in two different theoretical models of strongly correlated systems: a system made of weakly coupled Luttinger liquids, in the presence of umklapp scattering, and the 2D triangular lattice, with…

Strongly Correlated Electrons · Physics 2008-12-11 Gladys León

The sequence of prominent fractional quantum Hall states up to $\nu$=5/11 around $\nu$=1/2 in a high mobility two-dimensional electron system confined at oxide heterointerface (ZnO) is analyzed in terms of the composite fermion model. The…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Denis Maryenko , Joseph Falson , Yusuke Kozuka , Atsushi Tsukazaki , Masaru Onoda , Hideo Aoki , Masashi Kawasaki

We demonstrate experimentally that the transitions between adjacent integer quantum Hall (QH) states are equivalent to a QH-to-insulator transition occurring in the top Landau level, in the presence of an inert background of the other…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 D. Shahar , D. C. Tsui , M. Shayegan , E. Shimshoni , S. L. Sondhi

To probe the universality class of the quantum Hall system at the metal-insulator critical point, the multifractality of the wave function $\psi$ is studied for higher Landau levels, $N=1,2$, for various range $(\sigma )$ of random…

Condensed Matter · Physics 2009-10-28 Takamichi Terao , Tsuneyoshi Nakayama , Hideo Aoki

We investigate the effects of a trapping space-dependent potential on the low-temperature quasi-long-range order phase of two-dimensional particle systems with a relevant U(1) symmetry, such as quantum atomic gases. We characterize the…

Statistical Mechanics · Physics 2013-05-29 Federico Crecchi , Ettore Vicari

The effect of correlated hopping on the charge and heat transport is investigated for the Falicov-Kimball model. Exact solutions for the electrical and thermal conductivities and thermoelectric power are obtained within the dynamical mean…

Strongly Correlated Electrons · Physics 2014-12-23 A. M. Shvaika

The conductance of a two-dimensional electron gas at the transition from one quantum Hall plateau to the next has sample-specific fluctuations as a function of magnetic field and Fermi energy. Here we identify a universal feature of these…

Mesoscale and Nanoscale Physics · Physics 2013-07-09 I. C. Fulga , F. Hassler , A. R. Akhmerov , C. W. J. Beenakker

After a brief survey of theoretical concepts for the two-parameter scaling theory in the integer quantum Hall effect regime, a comprehensive set of early, recent and new experimental results on constructing scaling diagrams for conductance…

Mesoscale and Nanoscale Physics · Physics 2025-10-23 Yurii G. Arapov , Svetlana V. Gudina , Vladimir N. Neverov , Nikita S. Sandakov , Nina G. Shelushinina

Recent experiments on Coulomb drag in the quantum Hall regime have yielded a number of surprises. The most striking observations are that the Coulomb drag can become negative in high Landau levels and that its temperature dependence is…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 I. V. Gornyi , A. D. Mirlin , F. von Oppen

The conductivity of extremely high mobility dilute two-dimensional holes in GaAs changes linearly with temperature in the insulating side of the metal-insulator transition. Hopping conduction, characterized by an exponentially decreasing…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Hwayong Noh , M. P. Lilly , D. C. Tsui , J. A. Simmons , L. N. Pfeiffer , K. W West

Analyzing the effective conformal field theory for the parafermionic Hall states, corresponding to filling fractions nu_k=2+k/(kM+2), k=2,3,..., M odd, we show that the even k plateaux are expected to be more stable than their odd k…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Lachezar Georgiev

Theoretical work on Kondo systems predicts universality in the scaling of observable quantities with the Kondo temperature, T_K. Here we report infrared-frequency optical response measurements of the correlated system \ybinag. We observe…

Strongly Correlated Electrons · Physics 2009-11-10 Jason N. Hancock , Tim McKnew , Zack Schlesinger , John L. Sarrao , Zach Fisk