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Three-dimensional random electron systems undergo quantum phase transitions and show rich phase diagrams. Examples of the phases are the band gap insulator, Anderson insulator, strong and weak topological insulators, Weyl semimetal, and…

Disordered Systems and Neural Networks · Physics 2017-03-16 Tomi Ohtsuki , Tomoki Ohtsuki

These lecture notes provide a relatively self-contained introduction to field theoretic methods employed in the study of classical and quantum phase transitions.

Statistical Mechanics · Physics 2010-09-09 Flavio S. Nogueira

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 study the effect of electron-electron interaction on a two dimensional (2D) disordered lattice. For the case of two electrons the analytical estimates are presented showing a transition from localized to delocalized states in a way…

Condensed Matter · Physics 2017-09-27 Dima L. Shepelyansky , Pil Hun Song

A quantum phase transition is an unequivocal signature of strongly correlated many-body physics. Signatures of such phenomena are yet to be observed in ballistic transport through quantum wires. Recent developments in quantum wires have…

Strongly Correlated Electrons · Physics 2017-07-26 Abolfazl Bayat , Sanjeev Kumar , Michael Pepper , Sougato Bose

A quantum phase transition that was recently observed in a high-mobility silicon MOSFET is analyzed in terms of a scaling theory. The most striking characteristic of the transition is a divergence of the thermopower, according to an inverse…

Strongly Correlated Electrons · Physics 2013-10-01 T. R. Kirkpatrick , D. Belitz

Quantum phase transitions occur at zero temperature when some non-thermal control-parameter like pressure or chemical composition is changed. They are driven by quantum rather than thermal fluctuations. In this review we first give a…

Statistical Mechanics · Physics 2017-09-27 Thomas Vojta

A Reply to the Comment by C. Ciuti and P. Nataf [arXiv:1112.0986v1] on our Letter "Superradiant Phase Transitions and the Standard Description of Circuit QED" [Phys. Rev. Lett. 107, 113602 (2011)].

Mesoscale and Nanoscale Physics · Physics 2012-06-26 Oliver Viehmann , Jan von Delft , Florian Marquardt

The dipole-coupled two-level atoms(qubits) in a single-mode resonant cavity is studied by extended bosonic coherent states. The numerically exact solution is presented. For finite systems, the first-order quantum phase transitions occur at…

Quantum Physics · Physics 2015-05-19 Qing-Hu Chen , Tao Liu , Yu-Yu Zhang , Ke-Lin Wang

A canonical transformation of a new type is offered as the mean for studying properties of a system of strongly correlated electrons. As an example of the utility of the transformation, it is used to demonstrate the existence of a quantum…

Strongly Correlated Electrons · Physics 2014-03-14 Valentin Voroshilov

This article first gives a concise introduction to quantum phase transitions, emphasizing similarities with and differences to classical thermal transitions. After pointing out the computational challenges posed by quantum phase…

Statistical Mechanics · Physics 2008-12-18 Thomas Vojta

We are submitting a comment on the paper "Quantum Opacity, the RHIC HBT Puzzle, and the Chiral Phase Transition" by J.G. Cramer, G.A. Miller, J.M.S. Wu and J. Yoon, published in Phys. Rev. Lett. 94, 102302 (2005).

Nuclear Experiment · Physics 2007-05-23 PHOBOS Collaboration , B. B. Back

The influence of quantum phase transitions on the evolution of excited levels in the critical parameter region is discussed. The analysis is performed for 1D and 2D systems with first- and second-order ground-state transitions. Examples…

Quantum Physics · Physics 2009-11-13 Pavel Cejnar , Pavel Stransky

This article is aimed at a pedagogical introduction to the physics of quantum phase transitions that is unique to metallic systems. It has been recognized for some time that quantum criticality can result in a breakdown of Landau's Fermi…

Strongly Correlated Electrons · Physics 2007-05-23 Qimiao Si

In this paper, Landau theory for phase transitions is shown to be a useful approach also for quantal system such as atomic nucleus. A detailed analysis of critical exponents of ground state quantum phase transition between and limits of…

Nuclear Theory · Physics 2013-06-25 H. Fathi , H. Sabri

This is the chapter \emph{Topological Codes} of the book \emph{Quantum Error Correction}, edited by Daniel A. Lidar and Todd A. Brun, Cambridge University Press, New York, 2013.…

Quantum Physics · Physics 2013-11-04 H. Bombin

This review provides a perspective on recent developments and their implications for our understanding of novel quantum phenomena in the physics of two-dimensional organic solids. We concentrate on the phase transitions and collective…

Strongly Correlated Electrons · Physics 2020-11-18 Martin Dressel , Silvia Tomić

A brief summary of the physics of low-dimensional quantum systems is given. The material should be accessible to advanced physics undergraduate students. References to recent review articles and books are provided when possible.

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Michael R. Geller

We develop a theory of electron transport in a double quantum dot device recently proposed for the observation of the two-channel Kondo effect. Our theory provides a strategy for tuning the device to the non-Fermi-liquid fixed point, which…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Pustilnik , L. Borda , L. I. Glazman , J. von Delft

We propose a type of phase transition in quantum many-body systems, which occurs in highly excited quantum many-body scar states, while most of the spectrum is largely unaffected. Such scar state phase transitions can be realized by…

Quantum Physics · Physics 2024-10-10 Peter Græns Larsen , Anne E. B. Nielsen