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Phase transitions which occur at zero temperature when some non-thermal parameter like pressure, chemical composition or magnetic field is changed are called quantum phase transitions. They are caused by quantum fluctuations which are a…

Statistical Mechanics · Physics 2007-05-23 Thomas Vojta

We consider the problem of quantum and classical phase transitions in double-layer quantum Hall systems at $\nu=1/m$ (m odd integers) from a long-wavelength statistical mechanics viewpoint. We derive an explicit mapping of the…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Lian Zheng

Quantum fluctuations and related phase transitions are of current interest from the viewpoint of fundamental physics and technological applications. Quantum phase implies a region where the quantum fluctuations of energy scale $\hbar\omega$…

Strongly Correlated Electrons · Physics 2021-08-06 Karan Singh , K. Mukherjee , A. M. Jayannavar

We consider the ground-state properties of the s=1/2 Ising chain in a transverse field which varies regularly along the chain having a period of alternation 2. Such a model, similarly to its uniform counterpart, exhibits quantum phase…

Statistical Mechanics · Physics 2007-05-23 Oleg Derzhko , Taras Krokhmalskii

We report on the cascade of quantum phase transitions exhibited by tunnel-coupled edge states across a quantum Hall line junction. We identify a series of quantum critical points between successive strong and weak tunneling regimes in the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 I. Yang , W. Kang , K. W. Baldwin , L. N. Pfeiffer , K. W. West

Quantum phase transitions are sudden changes in the ground-state wavefunction of a many-body system that can occur as a control parameter such as a concentration or a field strength is varied. They are driven purely by the competition…

Strongly Correlated Electrons · Physics 2017-09-21 Jun Jing , Mike Guidry , Lian-Ao Wu

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

Phase transitions between the quantum spin Hall and the insulator phases in three dimensions are studied. We find that in inversion-asymmetric systems there appears a gapless phase between the quantum spin Hall and insulator phases in three…

Mesoscale and Nanoscale Physics · Physics 2007-10-05 Shuichi Murakami

The superconductor-insulator transition (SIT) is considered an excellent example of a quantum phase transition which is driven by quantum fluctuations at zero temperature. The quantum critical point is characterized by a diverging…

We investigate the role of quantum fluctuations in topological quantum phase transitions of quantum spin Hall insulators and quantum anomalous Hall insulators. Employing the variational cluster approximation to obtain the single-particle…

Strongly Correlated Electrons · Physics 2014-04-08 Jan Carl Budich , Ronny Thomale , Gang Li , Manuel Laubach , Shou-Cheng Zhang

Bosonic Integer Quantum Hall (IQH) phases are a class of symmetry protected topological (SPT) phases that, similar to the fermionic IQH states, support a quantized Hall conductance. They, however, require interactions for their realization.…

Strongly Correlated Electrons · Physics 2013-03-05 Tarun Grover , Ashvin Vishwanath

The existence of a metal-insulator transition at zero magnetic field in two- dimensional electron systems has recently been confirmed in high mobility Si-MOSFETs. In this work, the temperature dependence of the resistivity of gated…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 J. Lam , M. D'Iorio , D. Brown , H. Lafontaine

We report in this paper results of experimental and theoretical studies of transitions between different integer quantum Hall phases, as well as transition between the insulating phase and quantum Hall phases at high magnetic fields. We…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Kun Yang , D. Shahar , R. N. Bhatt , D. C. Tsui , M. Shayegan

The metal-insulator transition (MIT) is an exceptional test bed for studying strong electron correlations in two dimensions in the presence of disorder. In the present study, it is found that in contrast to previous experiments on…

Strongly Correlated Electrons · Physics 2023-01-16 M. Yu. Melnikov , A. A. Shashkin , V. T. Dolgopolov , Amy Y. X. Zhu , S. V. Kravchenko , S. -H. Huang , C. W. Liu

We discuss the effect of dissipation on quantum phase transitions. In particular we concentrate on the Superconductor to Insulator and Quantum-Hall to Insulator transitions. By invoking a phenomenological parameter $\alpha$ to describe the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Aharon Kapitulnik , Nadya Mason , Steven A. Kivelson , Sudip Chakravarty

It is shown that recent and earlier experiments, which claimed to observe a disagreement with the global phase diagram (GPD) of the quantum Hall effect, do not, in fact, contradict the GPD. Two aspects should be taken into account: (i)…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. S. Murzin

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

We show that the Quantum Spin Hall Effect, a state of matter with topological properties distinct from conventional insulators, can be realized in HgTe/CdTe semiconductor quantum wells. By varying the thickness of the quantum well, the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 B. Andrei Bernevig , Taylor L. Hughes , Shou-Cheng Zhang

A string of trapped ions at zero temperature exhibits a structural phase transition to a zigzag structure, tuned by reducing the transverse trap potential or the interparticle distance. The transition is driven by transverse, short…

Statistical Mechanics · Physics 2011-01-06 Efrat Shimshoni , Giovanna Morigi , Shmuel Fishman

When phonons couple to fermions in 2D semimetals, the interaction may turn the system into an insulator. There are several insulating phases in which the time reversal and the sublattice symmetries are spontaneously broken. Examples are…

Strongly Correlated Electrons · Physics 2021-05-12 Andreas Sinner , Klaus Ziegler