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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

Quantum criticality is the intriguing possibility offered by the laws of quantum mechanics when the wave function of a many-particle physical system is forced to evolve continuously between two distinct, competing ground states. This…

Mesoscale and Nanoscale Physics · Physics 2008-09-18 Nicolas Roch , Serge Florens , Vincent Bouchiat , Wolfgang Wernsdorfer , Franck Balestro

We investigate the crossover behavior between special and ordinary surface transitions in three-dimensional semi-infinite Ising-like systems with random quenched bulk disorder. We calculate the surface crossover critical exponent $\Phi$,…

Disordered Systems and Neural Networks · Physics 2009-11-10 Z. Usatenko , Chin-Kun Hu

Spontaneous symmetry breaking (SSB) is crucial to the occurrence of phase transitions. Once a phase transition occurs, a quantum system presents degenerate eigenstates that lack the symmetry of the Hamiltonian. After crossing the critical…

Deconfined quantum criticality of two-dimensional $SU(2)$ quantum antiferromagnets featuring a transition from an antiferromagnetically ordered ground state to a so-called valence-bond solid state, is governed by a non-compact CP$^1$ model…

Strongly Correlated Electrons · Physics 2013-12-24 Flavio S. Nogueira , Asle Sudbo

Spontaneous symmetry breaking (SSB) plays a central role in understanding a large variety of phenomena associated with phase transitions, such as superfluid and superconductivity. So far, the transition from a symmetric vacuum to a…

Quantum Physics · Physics 2024-07-01 Wen Ning , Ri-Hua Zheng , Jia-Hao Lü , Fan Wu , Zhen-Biao Yang , Shi-Biao Zheng

In two-dimensional (2D) limit, the quantum fluctuation is significantly enhanced which could induce a quantum phase transition. Investigating the quantum criticality is an effective approach to elucidate the underlying physics of 2D…

Superconductivity · Physics 2025-11-21 Jia Liu , Long Cheng , Mingyue Zhang , Junkun Zha , Fei Ye , Xiaofang Zhai

We develop the concept of surface multifractality for localization-delocalization (LD) transitions in disordered electronic systems. We point out that the critical behavior of various observables related to wave functions near a boundary at…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. R. Subramaniam , I. A. Gruzberg , A. W. W. Ludwig , F. Evers , A. Mildenberger , A. D. Mirlin

In this paper we shall study quantum critical behavior of lattice model of unconventional superconductors (SC) that was proposed in the previous papers. In this model, the Cooper-pair (CP) field is defined on lattice links in order to…

Superconductivity · Physics 2014-11-18 Kenji Sawamura , Ikuo Ichinose , Yuki Moribe

The dynamic critical behavior of isotropic Heisenberg ferromagnets with a planar free surface is investigated by means of field-theoretic renormalization group techniques and high-precision computer simulations. An appropriate semi-infinite…

Statistical Mechanics · Physics 2009-11-07 H. W. Diehl , M. Krech , H. Karl

Quantum criticality describes the collective fluctuations of matter undergoing a second-order phase transition at zero temperature. It is being discussed in a number of strongly correlated electron systems. A prototype case occurs in the…

Strongly Correlated Electrons · Physics 2011-02-28 Qimiao Si

The dipole ordering in Sn(Pb)$_2$P$_2$S(Se)$_6$ materials may be tuned by chemical substitution realizing a ferroelectric quantum phase transition and quantum glassy or relaxor type phenomena on different parts of the phase diagram. The…

Materials Science · Physics 2021-02-03 I. Zamaraite , V. Liubachko , R. Yevych , A. Oleaga , A. Salazar , A. Dziaugys , J. Banys , Yu. Vysochanskii

We describe non-equilibrium phase transitions in arrays of dynamical systems with cubic nonlinearity driven by multiplicative Gaussian white noise. Depending on the sign of the spatial coupling we observe transitions to ferromagnetic or…

Statistical Mechanics · Physics 2009-11-07 Thomas Birner , Karen Lippert , Reinhard Müller , Adolf Kühnel , Ulrich Behn

The exotic nature of many strongly correlated materials at reasonably high temperatures, for instance cuprate superconductors in their normal state, has lead to the suggestion that such behavior occurs within a quantum critical region where…

Strongly Correlated Electrons · Physics 2007-11-30 Claudio Castelnovo , Claudio Chamon , Christopher Mudry , Pierre Pujol , .

We extract the bulk viscosity of hot quark-gluon matter in the presence of light quarks from the recent lattice data on the QCD equation of state. For that purpose we extend the sum rule analysis by including the contribution of light…

High Energy Physics - Phenomenology · Physics 2010-04-06 F. Karsch , D. Kharzeev , K. Tuchin

Universality and scaling are fundamental concepts in equilibrium continuous phase transitions. Here, we unveil a unique and universal scaling behavior of the critical time in slowly driven dynamical quantum phase transition. Going beyond…

Statistical Mechanics · Physics 2024-09-26 Xiang Zhang , Liangdong Hu , Fuxiang Li

First-order phase transitions, classical or quantum, subject to randomness coupled to energy-like variables (bond randomness) can be rounded, resulting in continuous transitions (emergent criticality). We study perhaps the simplest such…

Disordered Systems and Neural Networks · Physics 2016-09-08 Arash Bellafard , Sudip Chakravarty

Criticality in non-Hermitian systems unveils unique phase transitions and scaling behaviors beyond Hermitian paradigms, offering new insights into the interplay between gain/loss, non-reciprocity, and complex energy spectra. In this paper,…

Quantum Physics · Physics 2026-03-17 Yi Qin , Yee Sin Ang , Ching Hua Lee , Linhu Li

Universality and scaling are hallmarks of second-order phase transitions but are generally unexpected in first-order quantum phase transitions (FOQPTs). We present a microscopic theory showing that quantum criticality can emerge around the…

Statistical Mechanics · Physics 2026-05-29 Fan Zhang , Chiao Wang , H. T. Quan

Phenomenological theory of the Mott transition is presented. When the critical temperature of the Mott transition is much higher than the quantum degeneracy temperature, the transition is essentially described by the Ising universality…

Strongly Correlated Electrons · Physics 2007-05-23 Masatoshi Imada
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