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There is considerable experimental evidence for the existence in Quantum Hall systems of an approximate emergent discrete symmetry, $\Gamma_0(2) \subset SL(2,Z)$. The evidence consists of the robustness of the tests of a suite a predictions…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 C. P. Burgess , B. P. Dolan

We present a general introduction to the non-zero temperature dynamic and transport properties of low-dimensional systems near a quantum phase transition. Basic results are reviewed in the context of experiments on the spin-ladder…

Strongly Correlated Electrons · Physics 2007-05-23 Subir Sachdev , Matthias Vojta

The phase diagram of two dimensional Josephson arrays is studied by means of the mapping to the quantum XY model. The quantum effects onto the thermodynamics of the system can be evaluated with quantitative accuracy by a semiclassical…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 Alessandro Cuccoli , Andrea Fubini , Valerio Tognetti , Ruggero Vaia

The quantum Hall transition is one of the simplest and most studied quantum phase transitions. Nevertheless, the experimental observation of a new phase in this regime, the quantum Hall insulator, still remains a puzzle since the first…

Disordered Systems and Neural Networks · Physics 2010-06-01 Roi Levy , Yigal Meir

A low energy action for double-layer quantum Hall systems at filling fractions $\nu = 2/m$ ($m$ an odd integer) is introduced. Interlayer antiferromagnetic exchange induces a phase with canted spin order, and also a spin-singlet phase.…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 S. Das Sarma , Subir Sachdev , Lian Zheng

We develop a non-perturbative bosonization approach for bilayer quantum Hall systems at \nu_T = 1, which allows us to systematically study the existence of an exciton condensate in these systems. An effective boson model is derived and the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 R. L. Doretto , A. O. Caldeira , C. Morais Smith

The thermalization of an isolated quantum system is described by quantum mechanics and thermodynamics, while these two subjects are still not fully consistent with each other. This leaves a less-explored region where both quantum and…

Quantum Gases · Physics 2024-11-22 Yuqing Wang , Libo Liang , Qinpei Zheng , Qi Huang , Wenlan Chen , Jing Zhang , Xuzong Chen , Jiazhong Hu

I review recent novel experimental and theoretical advances in the physics of quantum Hall effect bilayers. Of particular interest is a broken symmetry state which optimizes correlations by putting the electrons into a coherent…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 S. M. Girvin

Weakly disordered bilayer quantum Hall systems at filling factor $\nu=1$ show spontaneous interlayer phase coherence if the layers are sufficiently close together. We study the collective modes in the system, the current-voltage…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Yogesh N. Joglekar , Allan H. MacDonald

This tutorial paper reviews some of the physics of quantum Hall bilayers with a focus on the case where there is low or zero tunnelling between the two layers. We describe the interlayer coherent states at filling factors nu=1 and nu=2 as…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Steven H. Simon

Complexity in many-particle systems occurs through processes of qualitative differentiation. These are described by concepts such as emerging states with specific symmetries that are linked to order parameters. In quantum Hall phases of…

Mesoscale and Nanoscale Physics · Physics 2008-07-18 Biswajit Karmakar , Vittorio Pellegrini , Aron Pinczuk , Loren N. Pfeiffer , Ken W. West

Hybrid superconductor/semiconductor devices constitute a powerful platform where intriguing topological properties can be investigated. Here we present fabrication methods and analysis of Josephson junctions formed by a high-mobility InAs…

Mesoscale and Nanoscale Physics · Physics 2019-01-15 Stefano Guiducci , Matteo Carrega , Giorgio Biasiol , Lucia Sorba , Fabio Beltram , Stefan Heun

We use high-mobility bilayer hole systems with negligible tunneling to examine how the bilayer nu = 1 quantum Hall state evolves as charge is transferred from one layer to the other at constant total density. We map bilayer nu = 1 state…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 W. R. Clarke , A. P. Micolich , A. R. Hamilton , M. Y. Simmons , C. B. Hanna , J. R. Rodriguez , M. Pepper , D. A. Ritchie

In this paper we apply the exact solution of the sine-Gordon model to describe thermodynamic properties of the soliton liquid in the incommensurate phase of the double-layer quantum Hall systems. In this way we include thermal fluctuations…

Strongly Correlated Electrons · Physics 2009-11-07 Emiliano Papa , Alexei Tsvelik

The interplay of quantum and thermal fluctuations in the vicinity of a quantum critical point characterizes the physics of strongly correlated systems. Here we investigate this interplay from a quantum information perspective presenting the…

Strongly Correlated Electrons · Physics 2018-10-30 Marco Gabbrielli , Augusto Smerzi , Luca Pezzè

We develop a detailed theory describing a non-trivial interplay between non-equilibrium effects and long-range quantum coherence in superconducting hybrid nanostructures exposed to a temperature gradient. We establish a direct relation…

Superconductivity · Physics 2021-04-05 Mikhail S. Kalenkov , Andrei D. Zaikin

The scaling behavior of the quantum phase transition from an insulator to a quantum Hall plateau state has often been examined within systems realizing Landau levels. We study the topological transition in energy band models with nonzero…

Disordered Systems and Neural Networks · Physics 2014-04-30 Jerimie Priest , S. P. Lim , D. N. Sheng

A theory of transport in the quantum Hall regime is developed for separately contacted double-layer electron systems. Inter-layer tunneling provides a channel for equilibration of the distribution functions in the two layers at the edge…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Daijiro Yoshioka

We discuss and review recent advances in our understaning of quantum Hall systems where additional quantum numbers associated with spin and/or layer (pseudospin) indices play crucial roles in creating exotic quantum phases. Among the novel…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Sankar Das Sarma , Eugene Demler

We study finite-temperature phase transitions in a two-dimensional boson Hubbard model with zero-point quantum fluctuations via Monte Carlo simulations of quantum rotor model, and construct the corresponding phase diagram. Compressibility…

Strongly Correlated Electrons · Physics 2009-11-13 Min-Chul Cha , Ji-Woo Lee