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We perform a numerical study of a spin-1/2 model with $\mathbb{Z}_2 \times \mathbb{Z}_2$ symmetry in one dimension which demonstrates an interesting similarity to the physics of two-dimensional deconfined quantum critical points (DQCP).…

Strongly Correlated Electrons · Physics 2019-05-08 Brenden Roberts , Shenghan Jiang , Olexei I. Motrunich

We study the edge physics of the deconfined quantum phase transition (DQCP) between a spontaneous quantum spin Hall (QSH) insulator and a spin-singlet superconductor (SC). Although the bulk of this transition is in the same universality…

Strongly Correlated Electrons · Physics 2022-06-20 Ruochen Ma , Liujun Zou , Chong Wang

The spontaneous breaking of non-invertible symmetries can lead to exotic phenomena such as coexistence of order and disorder. Here we explore second-order phase transitions in 1d spin chains between two phases that correspond to distinct…

Strongly Correlated Electrons · Physics 2025-12-12 Yu-Hsueh Chen , Tarun Grover

Conventional ordering transitions, described by the Landau paradigm, are characterized by the symmetries broken at the critical point. Within the constrained manifold occurring at low temperatures in certain frustrated systems,…

Statistical Mechanics · Physics 2014-01-14 Stephen Powell

Deconfined quantum critical points (DQCPs) have been proposed as a class of continuous quantum phase transitions occurring between two ordered phases with distinct symmetry-breaking patterns, beyond the conventional framework of…

Strongly Correlated Electrons · Physics 2025-04-23 Yi Cui , Rong Yu , Weiqiang Yu

We consider several types of quantum critical phenomena from finite-density gauge-gravity duality which to different degrees lie outside the Landau-Ginsburg-Wilson paradigm. These include: (1) a "bifurcating" critical point, for which the…

High Energy Physics - Theory · Physics 2014-10-24 Nabil Iqbal , Hong Liu , Márk Mezei

An N-channel generalization of the network model of Chalker and Coddington is considered. The model for N = 1 is known to describe the critical behavior at the plateau transition in systems exhibiting the integer quantum Hall effect. Using…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Martin R. Zirnbauer

Over the past two decades, the enigma of the deconfined quantum critical point (DQCP) has attracted broad attention across the condensed matter, quantum field theory, and high-energy physics communities, as it is expected to offer a new…

Strongly Correlated Electrons · Physics 2025-02-18 Menghan Song , Jiarui Zhao , Meng Cheng , Cenke Xu , Michael M. Scherer , Lukas Janssen , Zi Yang Meng

The deconfined quantum critical point (QCP), separating the N\'eel and valence bond solid phases in a 2D antiferromagnet, was proposed as an example of $2+1$D criticality fundamentally different from standard Landau-Ginzburg-Wilson-Fisher…

Strongly Correlated Electrons · Physics 2017-12-27 Chong Wang , Adam Nahum , Max A. Metlitski , Cenke Xu , T. Senthil

We show gapped critical environment could remarkably prevent an enhanced decay of decoherence factor and quantum correlations at the critical point, which is nontrivially different from the ones in a gapless critical environment (Quan,…

Quantum Physics · Physics 2015-08-03 R. Jafari , Alireza Akbari

It is well-known that the standard bulk-boundary correspondence does not hold for non-Hermitian systems in which also new phenomena such as exceptional points do occur. Here we study, mostly by analytical means, a paradigmatic…

Statistical Mechanics · Physics 2025-10-24 Yasamin Mardani , Rodrigo A. Pimenta , Jesko Sirker

The presence of a boundary enriches the nature of quantum phase transitions. However, the boundary critical phenomena in topological superconductors remain underexplored so far. Here, we investigate the boundary criticality in a…

Strongly Correlated Electrons · Physics 2025-10-08 Yang Ge , Huan Jiang , Hong Yao , Shao-Kai Jian

Quantum Hall inter-plateaux transitions are physical exemplars of quantum phase transitions. Near each of these transitions, the measured electrical conductivity scales with the same correlation length and dynamical critical exponents,…

Strongly Correlated Electrons · Physics 2019-03-21 Aaron Hui , Eun-Ah Kim , Michael Mulligan

We consider an inhomogeneous anisotropic gap superconductor in the vicinity of the quantum critical point, where the transition temperature is suppressed to zero by disorder. Starting with the BCS Hamiltonian, we derive the Ginzburg-Landau…

Superconductivity · Physics 2009-11-13 Victor Galitski

We study the boundary critical behavior of the three-dimensional Heisenberg universality class, in the presence of a bidimensional surface. By means of high-precision Monte Carlo simulations of an improved lattice model, where leading bulk…

Statistical Mechanics · Physics 2025-05-12 Francesco Parisen Toldin

Recent numerical and theoretical studies on the two-dimensional $J$-$Q_3$ model suggests that the deconfined quantum critical point is actually a $SO(5)$-symmetry-enhanced first-order phase transition that is spontaneously broken to $O(4)$.…

Strongly Correlated Electrons · Physics 2025-12-15 Shutao Liu , Yan Liu , Chengkang Zhou , Zhe Wang , Jie Lou , Changle Liu , Zheng Yan , Yan Chen

The nature of phase boundaries in the QCD phase diagram has not been satisfactorily explored by experiments. Based on the Ginzburg-Landau free energy with a spatially inhomogeneous term as a function of a scalar order parameter, it is…

Nuclear Experiment · Physics 2008-11-26 Kensuke Homma , the PHENIX collaboration

Numerical studies of the N\'eel to valence-bond solid phase transition in 2D quantum antiferromagnets give strong evidence for the remarkable scenario of deconfined criticality, but display strong violations of finite-size scaling that are…

Strongly Correlated Electrons · Physics 2015-12-30 Adam Nahum , J. T. Chalker , P. Serna , M. Ortuño , A. M. Somoza

Continuous phase transitions in equilibrium statistical mechanics were successfully described 50 years ago with the development of the renormalization group framework. This framework was initially developed in the context of phase…

Strongly Correlated Electrons · Physics 2023-07-07 T. Senthil

A microscopic analysis of the superconducting quantum critical point realized via a pair-breaking quantum phase transition is presented. Finite temperature crossovers are derived for the electrical conductivity, which is a key probe of…

Superconductivity · Physics 2007-09-19 N. Shah , A. V. Lopatin