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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

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

Quantum fluctuating loops in 2+1 dimensions give gapless many-body states that are beyond current field theory techniques. Microscopically, these loops can be domain walls between up and down spins, or chains of flipped spins similar to…

Strongly Correlated Electrons · Physics 2020-07-15 Zhehao Dai , Adam Nahum

Ambiguities regarding the physics and the existence of the critical point (CP) on the QCD phase boundary still exist and the mist regarding the conjectured QCD phase boundary has not yet cleared. In this paper we extend our earlier study…

High Energy Physics - Phenomenology · Physics 2012-01-04 P. K. Srivastava , C. P. Singh

We study one-dimensional hybrid quantum circuits perturbed by quenched quasiperiodic (QP) modulations across the measurement-induced phase transition (MIPT). Considering non-Pisot QP structures, characterized by unbounded fluctuations,…

Disordered Systems and Neural Networks · Physics 2024-06-26 Gal Shkolnik , Aidan Zabalo , Romain Vasseur , David A. Huse , J. H. Pixley , Snir Gazit

In this article, we discuss strong coupling limits of topological quantum critical points (TQCPs) where quantum phase transitions between two topological distinct superconducting states take place. We illustrate that while superconducting…

Strongly Correlated Electrons · Physics 2022-01-04 Fei Zhou

For a system near a quantum critical point (QCP), above its lower critical dimension $d_L$, there is in general a critical line of second order phase transitions that separates the broken symmetry phase at finite temperatures from the…

Strongly Correlated Electrons · Physics 2011-08-09 Mucio A. Continentino

We consider quantum critical points (QCP) in which quantum fluctuations associated with charge rather than magnetic order induce unconventional metallic properties. Based on finite-T calculations on a two-dimensional extended Hubbard model…

Strongly Correlated Electrons · Physics 2015-05-18 Laura Cano-Cortes , Jaime Merino , Simone Fratini

Bounded by crossover lines exhibiting universal scaling, the supercritical regime above the critical endpoint is characterized by strong fluctuations and intriguing phenomena. In this study, we extend this notable concept of supercritical…

Strongly Correlated Electrons · Physics 2025-11-21 Junsen Wang , Enze Lv , Xinyang Li , Yuliang Jin , Wei Li

The origin of the strange metallic behavior observed in a wide range of quantum materials is an open challenge to condensed matter physics. Historically, strange metals were uniquely associated with antiferromagnetic quantum critical points…

Exceptional points (EPs) represent non-Hermitian degeneracies where eigenvalues and eigenvectors coalesce, giving rise to enhanced sensitivity and critically damped dynamics. We demonstrate that when an EP coincides with a dissipative phase…

Quantum Physics · Physics 2026-04-14 Jongjun M. Lee

Recent advances in boundary critical phenomena have led to the discovery of a new surface universality class in the three-dimensional $O(N)$ model. The newly found ``extraordinary-log" phase can be realized on a two-dimensional surface for…

Statistical Mechanics · Physics 2025-04-17 Francesco Parisen Toldin , Abijith Krishnan , Max A. Metlitski

Strange metal behavior is ubiquitous to correlated materials ranging from cuprate superconductors to bilayer graphene. There is increasing recognition that it arises from physics beyond the quantum fluctuations of a Landau order parameter…

Strongly Correlated Electrons · Physics 2020-02-25 L. Prochaska , X. Li , D. C. MacFarland , A. M. Andrews , M. Bonta , E. F. Bianco , S. Yazdi , W. Schrenk , H. Detz , A. Limbeck , Q. Si , E. Ringe , G. Strasser , J. Kono , S. Paschen

We introduce an effective theory for quantum critical points (QCPs) in heavy fermion systems, involving a change in carrier density without symmetry breaking. Our new theory captures a strongly coupled metallic QCP, leading to robust…

Strongly Correlated Electrons · Physics 2022-06-16 Erik E. Aldape , Tessa Cookmeyer , Aavishkar A. Patel , Ehud Altman

Deconfined quantum criticality describes continuous phase transitions that are not captured by the Landau-Ginzburg paradigm. Here, we investigate deconfined quantum critical points in the long-range, anisotropic Heisenberg chain. With…

Strongly Correlated Electrons · Physics 2026-05-26 Anton Romen , Stefan Birnkammer , Michael Knap

We analyze the quantum phase transition between a semimetal and a superfluid in a model of attractively interacting fermions with a linear dispersion. The quantum critical properties of this model cannot be treated by the Hertz-Millis…

Strongly Correlated Electrons · Physics 2011-06-06 P. Strack , S. Takei , W. Metzner

The deconfined quantum critical point, a prototype Landau-forbidden transition, could exist in principle in the phase transitions involving symmetry protected topological phase, however, examples of such kinds of transition in physical…

Strongly Correlated Electrons · Physics 2020-01-27 Tian-Sheng Zeng , D. N. Sheng , W. Zhu

We study three different measures of quantum correlations -- entanglement spectrum, entanglement entropy, and logarithmic negativity -- for (1+1)-dimensional massive scalar field in flat spacetime. The entanglement spectrum for the…

High Energy Physics - Theory · Physics 2021-06-16 Parul Jain , S. Mahesh Chandran , S. Shankaranarayanan

Some quantum critical states cannot be smoothly deformed into each other without either crossing some multicritical points or explicitly breaking certain symmetries even if they belong to the same universality class. This brings up the…

Strongly Correlated Electrons · Physics 2022-11-18 Xue-Jia Yu , Rui-Zhen Huang , Hong-Hao Song , Limei Xu , Chengxiang Ding , Long Zhang

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