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Related papers: Deconfined Quantum Criticality, Scaling Violations…

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The theory of deconfined quantum critical points describes phase transitions at temperature T = 0 outside the standard paradigm, predicting continuous transformations between certain ordered states where conventional theory requires…

Strongly Correlated Electrons · Physics 2016-04-28 Hui Shao , Wenan Guo , Anders W. Sandvik

We note that the standard inverse system volume scaling for finite-size corrections at a first-order phase transition (i.e., 1/L^3 for an L x L x L lattice in 3D) is transmuted to 1/L^2 scaling if there is an exponential low-temperature…

Statistical Mechanics · Physics 2014-05-22 Marco Mueller , Wolfhard Janke , Desmond A. Johnston

Regardless of model and platform details, the critical phenomena exhibit universal behaviors that are remarkably consistent across various experiments and theories, resulting in a significant scientific success of condensed matter physics.…

Mesoscale and Nanoscale Physics · Physics 2026-03-18 Qiwei Wan , Yi Zhang

The study of entanglement spectra is a powerful tool to detect or elucidate universal behaviour in quantum many-body systems. We investigate the scaling of the entanglement (or Schmidt) gap $\delta\xi$, i.e., the lowest laying gap of the…

Statistical Mechanics · Physics 2021-01-04 Sascha Wald , Raul Arias , Vincenzo Alba

The S=1/2 Heisenberg model is considered on bilayer and single-layer square lattices with couplings J1, J2, and with each spin belonging to one J2-coupled dimer. A transition from a Neel to disordered ground state occurs at a critical value…

Strongly Correlated Electrons · Physics 2007-07-28 Anders W. Sandvik

We investigate the boundary phases of a (2+1)-dimensional quantum critical Heisenberg model with a dangling spin chain. By introducing a multispin $Q$-term along the boundary, we drive a continuous boundary transition from an…

Strongly Correlated Electrons · Physics 2026-05-20 Chengxiang Ding , Long Zhang

Long-range interactions can fundamentally reshape the low-energy properties of low-dimensional quantum matter, altering both continuous symmetry breaking and topological phenomena. However, their impact on the quantum criticality separating…

Strongly Correlated Electrons · Physics 2026-04-15 Patrick Adelhardt , Sean R. Muleady , Kai P. Schmidt , Alexey V. Gorshkov

Validity of modified finite-size scaling above the upper critical dimension is demonstrated for the quantum phase transition whose dynamical critical exponent is $z=2$. We consider the $N$-component Bose-Hubbard model, which is exactly…

Statistical Mechanics · Physics 2010-01-27 Yasuyuki Kato , Naoki Kawashima

Deconfined quantum criticality (DQC) arises from fractionalization of quasi-particles and leads to fascinating behaviors beyond the Landau-Ginzburg-Wilson description of phase transitions. Here, we study the critical dynamics when driving a…

Strongly Correlated Electrons · Physics 2025-04-15 Yu-Rong Shu , Shao-Kai Jian , Anders W. Sandvik , Shuai Yin

We report an unprecedented quantum criticality crossover representing two different universal scaling behaviors in a Kitaev quantum magnetic material $\alpha$-RuCl$_3$. $\alpha$-RuCl$_3$ presents both a symmetry breaking antiferromagnetic…

Strongly Correlated Electrons · Physics 2023-06-13 Jae-Ho Han , Seung-Hwan Do , Kwang-Yong Choi , Sang-Youn Park , Jae-You Kim , Sungdae Ji , Ki-Seok Kim , Jae-Hoon Park

We investigate a quantum phase transition between a Neel phase and a valence bond solid (VBS) phase, in each of which a different Z2 symmetry is broken, in a spin-1/2 two-leg XXZ ladder with a four-spin interaction. The model can be viewed…

Strongly Correlated Electrons · Physics 2021-02-17 Takuhiro Ogino , Ryui Kaneko , Satoshi Morita , Shunsuke Furukawa , Naoki Kawashima

We propose and investigate numerically a one-dimensional model which exhibits a non-Anderson disorder-driven transition. Such transitions have recently been attracting a great deal of attention in the context of Weyl semimetals,…

Mesoscale and Nanoscale Physics · Physics 2020-06-11 Björn Sbierski , Sergey Syzranov

Deconfined quantum critical point (DQCP) characterizes the continuous transition beyond Landau-Ginzburg-Wilson paradigm, occurring between two phases that exhibit distinct symmetry breaking. The debate over whether genuine DQCP exists in…

Strongly Correlated Electrons · Physics 2025-11-06 Xuan Zou , Shuai Yin , Zi-Xiang Li , Hong Yao

Various lattice geometries and boundaries are used to investigate valence-bond-solid (VBS) ordering in the ground state of an S=1/2 square-lattice quantum spin model---the J-Q model, in which 4- or 6-spin interactions Q are added to the…

Strongly Correlated Electrons · Physics 2012-04-24 Anders W. Sandvik

Quantum phase transition from the N\'eel to the dimer states in an antiferromagnetic(AF) Heisenberg model on square lattice is studied. We introduce a control parameter $\alpha$ for the exchange coupling which connects the N\'eel…

Strongly Correlated Electrons · Physics 2009-11-10 Daisuke Yoshioka , Gaku Arakawa , Ikuo Ichinose , Tetsuo Matsui

We present results of extensive finite-temperature Quantum Monte Carlo simulations on a SU(2) symmetric S=1/2 quantum antiferromagnet with a four-spin interaction [Sandvik, Phys. Rev. Lett. 98, 227202 (2007)]. Our simulations, which are…

Strongly Correlated Electrons · Physics 2008-01-09 Roger G. Melko , Ribhu K. Kaul

We study the universal critical properties of the QED$_3$-Gross-Neveu-Yukawa model with $N$ flavors of four-component Dirac fermions coupled to a real scalar order parameter at four-loop order in the $\epsilon$ expansion below four…

Strongly Correlated Electrons · Physics 2018-10-17 Nikolai Zerf , Peter Marquard , Rufus Boyack , Joseph Maciejko

Deconfined quantum critical points (DQCPs) are putative phase transitions beyond the Landau paradigm with emergent fractionalized degrees of freedom. The original example of a DQCP is the spin-1/2 quantum antiferromagnet on the square…

Strongly Correlated Electrons · Physics 2024-09-17 David Hofmeier , Josef Willsher , Urban F. P. Seifert , Johannes Knolle

The transition from the quantum to the classical realm remains one of the most profound open questions in physics. While quantum theory predicts the existence of macroscopic superpositions, their apparent absence in the everyday world is…

Quantum Physics · Physics 2026-01-07 Ridha Horchani

Functional defects in periodic media confine waves - acoustic, electromagnetic, electronic, spin, etc. - in various dimensions, depending on the structure of the defect. While defects are usually modelled by a superlattice with a typical…

Disordered Systems and Neural Networks · Physics 2022-11-28 Marek Kozoň , Ad Lagendijk , Matthias Schlottbom , Jaap J. W. van der Vegt , Willem L. Vos