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In this paper we review the theory of unconventional quantum critical points that are beyond the Landau's paradigm. Three types of unconventional quantum critical points will be discussed: (1). The transition between topological order and…

Strongly Correlated Electrons · Physics 2015-06-04 Cenke Xu

Feedback effects due to spin fluctuation induced precursors in the fermionic quasiparticle spectrum are taken into account in the description of a quantum critical point of itinerant spin systems. A correlation length dependent spin damping…

Strongly Correlated Electrons · Physics 2007-05-23 Joerg Schmalian

We study in detail the dynamic scaling of the three-dimensional (3D) Ising model driven through its critical point on finite-size lattices and show that a series of new critical exponents are needed to account for the anomalous scalings…

Statistical Mechanics · Physics 2021-07-22 Weilun Yuan , Fan Zhong

The nonanalyticity of the Loschmidt echo at critical times in quantum quenched systems is termed as the dynamical quantum phase transition, extending the notion of quantum criticality to a nonequilibrium scenario. In this paper, we…

Disordered Systems and Neural Networks · Physics 2024-07-30 Niaz Ali Khan , Pei Wang , Munsif Jan , Gao Xianlong

Competing scenarios for quantum critical points (QCPs) of strongly interacting Fermi systems signaled by a divergent density of states at zero temperature are contrasted. The conventional scenario, which enlists critical fluctuations of a…

Strongly Correlated Electrons · Physics 2009-04-11 V. A. Khodel , J. W. Clark , M. V. Zverev

A symmetry-protected topological phase has nontrivial surface states in the presence of certain symmetries, which can either be gapless or be degenerate. In this work, we study the physical consequence of such gapless surface states at the…

Strongly Correlated Electrons · Physics 2017-03-01 Long Zhang , Fa Wang

The study of dynamics in closed quantum systems has recently been revitalized by the emergence of experimental systems that are well-isolated from their environment. In this paper, we consider the closed-system dynamics of an archetypal…

Quantum Gases · Physics 2015-03-04 Michael Kolodrubetz , Emanuel Katz , Anatoli Polkovnikov

We study the dynamics and unbinding transition of vortices in the compact anisotropic Kardar-Parisi-Zhang (KPZ) equation. The combination of non-equilibrium conditions and strong spatial anisotropy drastically affects the structure of…

Quantum Gases · Physics 2018-08-30 Lukas M. Sieberer , Ehud Altman

We establish the theory of critical transport in amorphous Chern insulators and show that it lies beyond the current paradigm of topological criticality epitomized by the quantum Hall transitions. We consider models of Chern insulators on…

Mesoscale and Nanoscale Physics · Physics 2020-12-08 Moein N. Ivaki , Isac Sahlberg , Teemu Ojanen

We demonstrate using direct numerical diagonalization and extrapolation methods that boundary conditions have a profound effect on the bulk properties of a simple $Z(N)$ model for $N \ge 3$ for which the model hamiltonian is non-hermitian.…

Statistical Mechanics · Physics 2018-06-13 Francisco C. Alcaraz , Murray T. Batchelor

The anomalous chromomagnetic moment of the top quark arises from one loop corrections to the vertex $\bar t t g$. We give explicit formulae for this anomalous coupling in the framework of the standard model, the two Higgs doublet model and…

High Energy Physics - Phenomenology · Physics 2014-11-17 R. Martinez , J-Alexis Rodriguez

We consider global topological defects in symmetry breaking models with a non-canonical kinetic term. Apart from a mass parameter entering the potential, one additional dimensional parameter arises in such models -- a ``kinetic'' mass. The…

High Energy Physics - Theory · Physics 2008-11-26 E. Babichev

Despite the extensive studies of topological states, their characterization in strongly nonlinear classical systems has been lacking. In this work, we identify the proper definition of Berry phase for nonlinear bulk modes and characterize…

Disordered Systems and Neural Networks · Physics 2022-06-22 Di Zhou , D. Zeb Rocklin , Michael Leamy , Yugui Yao

We study the directional-ordering transition in the two-dimensional classical and quantum compass models on the square lattice by means of Monte Carlo simulations. An improved algorithm is presented which builds on the Wolff cluster…

Statistical Mechanics · Physics 2010-06-23 Sandro Wenzel , Wolfhard Janke , Andreas M. Laeuchli

Based on large-scale quantum Monte Carlo simulations, we examine the correlations along the edges of two-dimensional semi-infinite quantum critical Heisenberg spin-$1/2$ systems. In particular, we consider coupled quantum spin-dimer systems…

Strongly Correlated Electrons · Physics 2018-11-07 Lukas Weber , Francesco Parisen Toldin , S. Wessel

We present high-accuracy quasi-stationary (QS) simulations of the contact process in quenched networks, built using the configuration model with both structural and natural cutoffs. The critical behavior is analyzed in the framework of the…

Statistical Mechanics · Physics 2011-12-09 Silvio C. Ferreira , Ronan S. Ferreira , Claudio Castellano , Romualdo Pastor-Satorras

Gapless edge states are the hallmark of a large class of topological states of matter. Recently, intensive research has been devoted to understanding the physical properties of the edge states at the quantum phase transitions of the bulk…

Strongly Correlated Electrons · Physics 2022-12-14 Yining Xu , Chen Peng , Zijian Xiong , Long Zhang

The driven dynamics of localization transitions in a non-Hermitian Disordered Aubry-Andr\'{e} (DAA) model are examined under both open boundary conditions (OBC) and periodic boundary conditions (PBC). Through an analysis of the static…

Disordered Systems and Neural Networks · Physics 2025-09-09 Yue-Mei Sun , Xin-Yu Wang , Liang-Jun Zhai

When an external parameter drives a system across a quantum phase transition at a finite rate, work is performed on the system and entropy is dissipated, due to the creation of excitations via the Kibble-Zurek mechanism. Although both the…

Quantum Physics · Physics 2025-10-09 Zhanyu Ma , Andrew K. Mitchell , Eran Sela

Critical properties of quantum spin chains with varying degrees of disorder are studied at zero temperature by analytical and extensive density matrix renormalization methods. Generally the phase diagram is found to contain three phases.…

Disordered Systems and Neural Networks · Physics 2009-11-07 Enrico Carlon , Péter Lajko , Ferenc Iglói