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Interacting physical systems in the neighborhood of criticality (and massive continuum field theories) can often be characterized by just two physical scales: a (macroscopic) correlation length and a (microscopic) interaction range, related…

High Energy Physics - Lattice · Physics 2009-10-31 Sergio Caracciolo , Maria Serena Causo , Andrea Pelissetto , Paolo Rossi , Ettore Vicari

Recently topological states of matter have witnessed a new physical phenomenon where both edge modes and gapless bulk coexist at topological quantum criticality. The presence and absence of edge modes on a critical line can lead to an…

Strongly Correlated Electrons · Physics 2023-05-12 Ranjith R Kumar , Nilanjan Roy , Y R Kartik , S Rahul , Sujit Sarkar

Distinguishing different subphases in the supercritical region is a fundamental issue in statistical physics and condensed matter physics. Traditional approaches mainly rely on static thermodynamic response functions or equilibrium…

Statistical Mechanics · Physics 2026-04-16 Zi-Qiang Zhao , Zhang-Yu Nie , Jing-Fei Zhang , Xin Zhang

To provide an understanding of the universal thermodynamic properties of cuprate superconductors, emerging from the empirical correlations and phase diagrams, we analyze them in terms of the scaling theory of finite temperature and quantum…

Superconductivity · Physics 2007-05-23 T. Schneider

To provide an understanding of the universal properties emerging from the empirical correlations and phase diagrams of cuprate superconductors, we invoke the scaling theory of finite temperature and quantum critical phenomena. The universal…

Superconductivity · Physics 2009-11-07 T. Schneider

We propose a method to study dynamical response of a quantum system by evolving it with an imaginary-time dependent Hamiltonian. The leading non-adiabatic response of the system driven to a quantum-critical point is universal and…

Other Condensed Matter · Physics 2015-05-28 C. De Grandi , A. Polkovnikov , A. W. Sandvik

We study the nonequilibrium properties of a nonergodic random quantum chain in which highly excited eigenstates exhibit critical properties usually associated with quantum critical ground states. The ground state and excited states of this…

Disordered Systems and Neural Networks · Physics 2017-01-23 Byungmin Kang , Andrew C. Potter , Romain Vasseur

Quantum critical states exhibit strong quantum fluctuations and are therefore highly susceptible to perturbations. In this work we study the dynamical stability against a sudden coupling to these strong fluctuations by quenching the order…

Statistical Mechanics · Physics 2017-02-21 Markus Heyl

Unveiling universal non-equilibrium scaling laws has been a central theme in modern statistical physics, with recent attention increasingly directed toward non-equilibrium phases that exhibit rich dynamical phenomena. A striking example…

Statistical Mechanics · Physics 2025-12-15 Shuoguang Liu , Peter B. Littlewood , Ryo Hanai

The study of quantum phase transitions requires the preparation of a many-body system near its ground state, a challenging task for many experimental systems. The measurement of quench dynamics, on the other hand, is now a routine practice…

Quantum Physics · Physics 2019-09-13 Paraj Titum , Joseph T. Iosue , James R. Garrison , Alexey V. Gorshkov , Zhe-Xuan Gong

The critical behavior at the special surface transition and crossover bevavior from special to ordinary surface transition in semi-infinite n-component anisotropic cubic models are investigated by applying the field theoretic approach…

Statistical Mechanics · Physics 2007-05-23 Z. Usatenko

Quantum dots with large Thouless number $g$ embody a regime where both disorder and interactions can be treated nonperturbatively using large-N techniques (with $N=g$) and quantum phase transitions can be studied. Here we focus on dots…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Ganpathy Murthy

Quantum tricriticality, a unique form of high-order criticality, is expected to exhibit fascinating features including unconventional critical exponents and universal scaling laws. However, a quantum tricritical point (QTCP) is much harder…

Quantum Physics · Physics 2024-02-21 You-Qi Lu , Yu-Yu Zhang

We study the non-equilibrium dynamics due to slowly taking a quasiperiodic Hamiltonian across its quantum critical point. The special quasiperiodic Hamiltonian that we study here has two different types of critical lines belonging to two…

Statistical Mechanics · Physics 2020-04-23 Revathy B. S. , Uma Divakaran

We investigate two separate notions of dynamical phase transitions in the two-dimensional nearest-neighbor transverse-field Ising model on a square lattice using matrix product states and a new \textit{hybrid} infinite time-evolving block…

Strongly Correlated Electrons · Physics 2022-04-21 Tomohiro Hashizume , Ian P. McCulloch , Jad C. Halimeh

We analyze and overview several different unconventional quantum criticalities. One origin of the unconventionality is the proximity to first-order transitions. The border between the first-order and continuous transitions is described by a…

Strongly Correlated Electrons · Physics 2010-08-24 Masatoshi Imada , Takahiro Misawa , Youhei Yamaji

We present an accurate numerical determination of the crossover from classical to Ising-like critical behavior upon approach of the critical point in three-dimensional systems. The possibility to vary the Ginzburg number in our simulations…

Statistical Mechanics · Physics 2009-10-31 Erik Luijten , Kurt Binder

For the first time, we investigate susceptibilities of dense quark matter up to $8$th order using an effective model. Generally higher order susceptibilities will have more sign changes and larger magnitude, thus should give more…

High Energy Physics - Phenomenology · Physics 2019-05-22 Wenkai Fan , Xiaofeng Luo , Hongshi Zong

Topological classifications of quantum critical systems have recently attracted growing interest, as they go beyond the traditional paradigms of condensed matter and statistical physics. However, such classifications remain largely…

Statistical Mechanics · Physics 2026-02-03 Sheng Yang , Hai-Qing Lin , Xue-Jia Yu

Quantum criticality plays a central role in understanding non-Fermi liquid behavior and unconventional superconductivity in strongly correlated systems. In this review, we explore the quantum critical Eliashberg theory, which extends…

Strongly Correlated Electrons · Physics 2025-06-16 Ilya Esterlis , Joerg Schmalian