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A considerable success in phenomenological description of high-T$_{\rm c}$ superconductors has been achieved within the paradigm of Quantum Critical Point (QCP) - a parental state of a variety of exotic phases that is characterized by dense…

Strongly Correlated Electrons · Physics 2020-05-13 Andrey A. Bagrov , Mikhail Danilov , Sergey Brener , Malte Harland , Alexander I. Lichtenstein , Mikhail I. Katsnelson

We start with a discussion of a phase diagram and three special collision energies: (i) the first touching of the mixed phase; (ii) the softest point; (iii) the critical point. We then proceed to more details about the role a massless…

Nuclear Theory · Physics 2009-09-29 Edward Shuryak

We investigate a nonequilibrium phase transition in a dissipative and coherent quantum spin system using the quantum Langevin equation and mean-field theory. Recently, the quantum contact process (QCP) was theoretically investigated using…

Statistical Mechanics · Physics 2019-04-03 Minjae Jo , Jaegon Um , B. Kahng

Two-dimensional quantum antiferromagnets are believed to host phases of matter whose excitations are more fundamental than those of the ordered phases. When combining two such spin systems in a bilayer, strong interaction between the…

Strongly Correlated Electrons · Physics 2025-02-26 Sondre Duna Lundemo , Flavio S. Nogueira , Asle Sudbø

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

Quantum critical points (QCPs), zero-temperature phase transitions, are windows to fundamental quantum-mechanical phenomena associated with universal behaviour and can provide parallels to the physics of black holes. Magnetic QCPs have been…

Strongly Correlated Electrons · Physics 2024-10-01 Soohyeon Shin , Aline Ramires , Vladimir Pomjakushin , Igor Plokhikh , Ekaterina Pomjakushina

We study localization-delocalization transition in quantum Hall systems with a random field of nuclear spins acting on two-dimensional (2d) electron spins via hyperfine contact (Fermi) interaction. We use Chalker-Coddington network model,…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 V. Kagalovsky , I. Vagner

At sufficiently low temperatures, interacting electron systems tend to develop orders. Exceptions are quantum critical point (QCP) and quantum spin liquid (QSL), where fluctuations prevent the highly entangled quantum matter to an ordered…

Strongly Correlated Electrons · Physics 2022-09-30 Yuan Da Liao , Xiao Yan Xu , Zi Yang Meng , Yang Qi

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

Topology and anomalies lead to edge modes that can interact with critical bulk fluctuations. To study this setup, pertaining to boundary criticality, we consider a model exhibiting a deconfined quantum critical point (DQCP) between a…

Strongly Correlated Electrons · Physics 2025-09-10 Yuhai Liu , Toshihiro Sato , Disha Hou , Zhenjiu Wang , Wenan Guo , Fakher F. Assaad

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

We investigate the deconfined quantum critical point (DQCP) candidate in the extended hard-core Bose-Hubbard model on the kagome lattice, employing quantum Monte Carlo simulations to study the entanglement entropy and the $U(1)$ disorder…

Strongly Correlated Electrons · Physics 2026-01-21 Yan-Cheng Wang , Yan Zheng , Xue-Feng Zhang

We continue recent efforts to discover examples of deconfined quantum criticality in one-dimensional models. In this work we investigate the transition between a $\mathbb{Z}_3$ ferromagnet and a phase with valence bond solid (VBS) order in…

Strongly Correlated Electrons · Physics 2021-04-28 Brenden Roberts , Shenghan Jiang , Olexei I. Motrunich

Thermodynamic and dynamical properties of a model of Dirac fermions with a deconfined quantum critical point (DQCP) separating an interaction-generated quantum spin-Hall insulator from an s-wave superconductor [Nature Comm.~{\bf 10}, 2658…

Strongly Correlated Electrons · Physics 2022-07-14 Martin Hohenadler , Yuhai Liu , Toshihiro Sato , Zhenjiu Wang , Wenan Guo , Fakher F. Assaad

Recent results on the nature of the quantum critical point between Neel and valence bond solid(VBS) ordered phases of two dimensional quantum magnets are examined by an attack from the VBS side. This approach leads to an appealingly simple…

Strongly Correlated Electrons · Physics 2009-11-10 Michael Levin , T. Senthil

Exotic physics often emerges around quantum criticality in metallic systems. Here we explore the nature of topological phase transitions between 3D double-Weyl semimetals and insulators (through annihilating double-Weyl nodes with opposite…

Strongly Correlated Electrons · Physics 2021-04-28 Shi-Xin Zhang , Shao-Kai Jian , Hong Yao

The theory of second order phase transitions is one of the foundations of modern statistical mechanics and condensed matter theory. A central concept is the observable `order parameter', whose non-zero average value characterizes one or…

Strongly Correlated Electrons · Physics 2007-05-23 T. Senthil , Ashvin Vishwanath , Leon Balents , Subir Sachdev , M. P. A. Fisher

It has been proposed that the deconfined criticality in $(2+1)d$ -- the quantum phase transition between a Neel anti-ferromagnet and a valence-bond-solid (VBS) -- may actually be pseudo-critical, in the sense that it is a weakly first-order…

Strongly Correlated Electrons · Physics 2020-07-29 Ruochen Ma , Chong Wang

The criticality between the nematic and valence-bond-solid (VBS) phases was investigated for the two-dimensional quantum S=1-spin model with the three-spin and biquadratic interactions by means of the numerical diagonalization method. It is…

Statistical Mechanics · Physics 2015-06-24 Yoshihiro Nishiyama

We describe characteristic physical properties of the recently introduced class of deconfined quantum critical points. Using some simple models, we highlight observables which clearly distinguish such critical points from those described by…

Strongly Correlated Electrons · Physics 2015-06-24 T. Senthil , Leon Balents , Subir Sachdev , Ashvin Vishwanath , Matthew P. A. Fisher