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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

Deconfined quantum critical points are characterized by the presence of an emergent gauge field and exotic fractionalized particles, which exist as well-defined excitations only at the critical point. We here demonstrate the existence of…

Strongly Correlated Electrons · Physics 2018-09-12 Han Ma , Michael Pretko

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

A quantum critical point (QCP) is a singularity in the phase diagram arising due to quantum mechanical fluctuations. The exotic properties of some of the most enigmatic physical systems, including unconventional metals and superconductors,…

Strongly Correlated Electrons · Physics 2014-05-13 P. Merchant , B. Normand , K. W. Krämer , M. Boehm , D. F. McMorrow , Ch. Rüegg

Deconfined quantum critical points govern continuous quantum phase transitions at which fractionalized (deconfined) degrees of freedom emerge. Here we study dynamical signatures of the fractionalized excitations in a quantum magnet (the…

Strongly Correlated Electrons · Physics 2018-11-28 Nvsen Ma , Guang-Yu Sun , Yi-Zhuang You , Cenke Xu , Ashvin Vishwanath , Anders W. Sandvik , Zi Yang Meng

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

We consider a Su-Schrieffer-Heeger model in the assisted hopping limit, where direct electron hopping is subdominant. At fixed electron-phonon coupling and in the absence of Coulomb interactions, the model shows a deconfined quantum…

Strongly Correlated Electrons · Physics 2024-12-24 Anika Götz , Fakher F. Assaad , Natanael C. Costa

Emergent symmetry is one of the characteristic phenomena in deconfined quantum critical point (DQCP). As its nonequilibrium generalization, the dual dynamic scaling was recently discovered in the nonequilibrium imaginary-time relaxation…

Strongly Correlated Electrons · Physics 2022-03-22 Yu-Rong Shu , Shuai Yin

We propose that the recently observed superconductor-insulator transition (SIT) in the twisted bilayer transition metal dichalcogenides moir\'{e} system at hole filling $\nu = 1$ may be described by the deconfined quantum critical point…

Strongly Correlated Electrons · Physics 2024-06-21 Nayan Myerson-Jain , Cenke Xu

A unified theory of quantum critical points beyond the conventional Landau-Ginzburg-Wilson paradigm remains unknown. According to Landau cubic criterion, phase transitions should be first-order when cubic terms of order parameters are…

Strongly Correlated Electrons · Physics 2017-08-23 Zi-Xiang Li , Yi-Fan Jiang , Shao-Kai Jian , Hong Yao

Recent years have seen a growing appreciation for the effects of quantum critical fluctuations on gapless boundary degrees of freedom. Here we consider the boundary dynamics of the non-compact $\mathbb{CP}^{N-1}$ (NCCP$^{N-1}$) model in two…

Strongly Correlated Electrons · Physics 2026-01-14 Hao-Ran Cui , Hart Goldman

We discuss a new way to develop the exactly solvable model of the QCD critical endpoint by matching the deconfinement phase transition line for the system of quark-gluon bags with the line of their vanishing surface tension coefficient. In…

High Energy Physics - Phenomenology · Physics 2015-05-13 K. A. Bugaev , V. K. Petrov , G. M. Zinovjev

We consider spin-half quantum antiferromagnets in two spatial dimensions in the quantum limit, where the spins are in a valence bond solid (VBS) phase. The transitions between two such VBS phases is studied. In some cases, an interesting…

Strongly Correlated Electrons · Physics 2009-11-10 Ashvin Vishwanath , L. Balents , T. Senthil

We develop a nonequilibrium increment method to compute the R\'enyi entanglement entropy and investigate its scaling behavior at the deconfined critical (DQC) point via large-scale quantum Monte Carlo simulations. To benchmark the method,…

Strongly Correlated Electrons · Physics 2022-01-04 Jiarui Zhao , Yan-Cheng Wang , Zheng Yan , Meng Cheng , Zi Yang Meng

We study a possible deconfined quantum phase transition in a realistic model of a two-dimensional Shastry-Sutherland quantum magnet, using both numerical and field theoretic techniques. Using the infinite density matrix renormalization…

Strongly Correlated Electrons · Physics 2019-11-27 Jong Yeon Lee , Yi-Zhuang You , Subir Sachdev , Ashvin Vishwanath

Non-fermi liquid and unconventional quantum critical points (QCP) with strong fractionalization are two exceptional phenomena beyond the classic condensed matter doctrines, both of which could occur in strongly interacting quantum many-body…

Strongly Correlated Electrons · Physics 2020-07-07 Yichen Xu , Hao Geng , Xiao-Chuan Wu , Chao-Ming Jian , Cenke Xu

We study the phase diagram of quantum Hall bilayer systems with total filing $\nu_T=1/2+1/2$ of the lowest Landau level as a function of layer distances $d$. Based on numerical exact diagonalization calculations, we obtain three distinct…

Strongly Correlated Electrons · Physics 2017-10-25 Zheng Zhu , Liang Fu , D. N. Sheng

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

Fluctuations can change the phase transition properties drastically. An example is the fermion-induced quantum critical point (FIQCP), in which fluctuations of the massless Dirac fermions turn a putative Landau-de Gennes first-order phase…

Statistical Mechanics · Physics 2020-04-29 Shuai Yin , Zhi-Yao Zuo

There is considerable experimental evidence for the existence in Quantum Hall systems of an approximate emergent discrete symmetry, $\Gamma_0(2) \subset SL(2,Z)$. The evidence consists of the robustness of the tests of a suite a predictions…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 C. P. Burgess , B. P. Dolan