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Related papers: New critical phenomena in 2d quantum gravity

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Divergent carrier-density fluctuations equivalent to the critical opalescence of gas-liquid transitions emerge around a metal-insulator critical point at a finite temperature. In contrast to the gas-liquid transitions, however, the critical…

Strongly Correlated Electrons · Physics 2007-05-23 Takahiro Misawa , Youhei Yamaji , Masatoshi Imada

We study phase transition behavior of the Heisenberg model on a distorted triangular lattice with competing interactions. The ground-state phase diagram indicates that underlying symmetry can be changed by tuning parameters. We focus on two…

Statistical Mechanics · Physics 2013-07-16 Ryo Tamura , Shu Tanaka , Naoki Kawashima

In studies of the QCD deconfining phase transition or crossover by means of heavy ion experiments, one ought to be concerned about non-equilibrium effects due to heating and cooling of the system. Motivated by this, we look at hysteresis…

High Energy Physics - Lattice · Physics 2009-11-10 Bernd A. Berg , Urs M. Heller , Hildegard Meyer-Ortmanns , Alexander Velytsky

We study a square-lattice spin-half Heisenberg model where frustration is introduced by competing nearest-neighbor bonds of different signs. We discuss the influence of quantum fluctuations on the nature of the zero-temperature phase…

Strongly Correlated Electrons · Physics 2009-11-07 Sven E. Krüger , Johannes Richter

We investigate, both analytically and numerically, the phase diagram of three-dimensional Z(N) lattice gauge theories at finite temperature for N > 4. These models, in the strong coupling limit, are equivalent to a generalized version of…

High Energy Physics - Lattice · Physics 2012-12-06 O. Borisenko , V. Chelnokov , G. Cortese , R. Fiore , M. Gravina , A. Papa , I. Surzhikov

We perform an analytical and numerical study of the phase transitions in three-dimensional Z(N) lattice gauge theories at finite temperature for N>4 exploiting equivalence of these models with a generalized version of the two-dimensional…

High Energy Physics - Lattice · Physics 2015-06-05 O. Borisenko , V. Chelnokov , G. Cortese , R. Fiore , M. Gravina , A. Papa , I. Surzhikov

A Griffiths phase has recently been observed by Monte Carlo simulations in the 2D $q$-state Potts model with strongly correlated quenched random couplings. In particular, the magnetic susceptibility was shown to diverge algebraically with…

Statistical Mechanics · Physics 2014-09-23 Christophe Chatelain

We study the $q$ states Potts model with four site interaction on the square lattice. Based on the asymptotic behaviour of lattice animals, it is argued that when $q\leq 4$ the system exhibits a second-order phase transition, and when $q >…

Statistical Mechanics · Physics 2018-03-14 Nir Schreiber , Reuven Cohen , Simi Haber

Quantum phase transitions are sudden changes in the ground-state wavefunction of a many-body system that can occur as a control parameter such as a concentration or a field strength is varied. They are driven purely by the competition…

Strongly Correlated Electrons · Physics 2017-09-21 Jun Jing , Mike Guidry , Lian-Ao Wu

In the ordered phase of the 3D Ising model, minority spin clusters are surrounded by a boundary of dual plaquettes. As the temperature is raised, these spin clusters become more numerous, and it is found that eventually their boundaries…

Statistical Mechanics · Physics 2023-05-03 Michael Grady

Fractonic phases of matter are novel quantum ground states supporting sub-dimensional emergent excitations with mobility restrictions. Due to a sub-extensive ground state degeneracy that is dependent on the geometry of the underlying…

Strongly Correlated Electrons · Physics 2022-07-01 SangEun Han , Adarsh S. Patri , Yong Baek Kim

We study numerically the spatial properties of relaxation clusters in a two dimensional sandpile automaton with dynamic rules depending stochastically on a parameter p, which models the effects of static friction. In the limiting cases p=1…

Condensed Matter · Physics 2016-08-31 S. Luebeck , K. D. Usadel , B. Tadic

Causal Dynamical Triangulations (CDT) are a concrete attempt to define a nonperturbative path integral for quantum gravity. We present strong evidence that the lattice theory has a second-order phase transition line, which can potentially…

High Energy Physics - Theory · Physics 2011-12-01 J. Ambjorn , S. Jordan , J. Jurkiewicz , R. Loll

Using holographic duality, we investigate the impact of finite temperature on the instability and splitting patterns of quadruply quantized vortices, providing the first-ever analysis in this context. Through linear stability analysis, we…

Quantum Gases · Physics 2023-12-01 Shanquan Lan , Xin Li , Yu Tian , Peng Yang , Hongbao Zhang

We perform Monte Carlo simulations using the Wolff cluster algorithm of the q=2 (Ising), 3, 4 and q=10 Potts models on dynamical phi-cubed graphs of spherical topology with up to 5000 nodes. We find that the measured critical exponents are…

High Energy Physics - Lattice · Physics 2015-06-25 C. F. Baillie , D. A. Johnston

We report on single-cluster Monte Carlo simulations of the Ising, 4-state Potts and 10-state Potts models on quenched ensembles of planar, tri-valent random graphs. We confirm that the first-order phase transition of the 10-state Potts…

High Energy Physics - Lattice · Physics 2009-10-31 W. Janke , D. Johnston

We investigate the ferromagnetic $q$-state Potts model on spherical Fibonacci graphs. These graphs are constructed by embedding quasi-uniform sites on a sphere and defining interactions via a chord-distance cutoff chosen to yield a network…

Statistical Mechanics · Physics 2026-01-13 Zheng Zhou , Xu-Yang Hou , Hao Guo

Lattice formulations of gravity can be used to study non-perturbative aspects of quantum gravity. Causal Dynamical Triangulations (CDT) is a lattice model of gravity that has been used in this way. It has a built-in time foliation but is…

General Relativity and Quantum Cosmology · Physics 2021-03-30 J. Ambjorn , Z. Drogosz , J. Gizbert-Studnicki , A. Görlich , J. Jurkiewicz , D. Nèmeth

We report a new classical spin liquid in which the collective flux degrees of freedom break the translation symmetry of the honeycomb lattice. This exotic phase exists in frustrated spin-orbit magnets where a dominant off-diagonal exchange,…

Strongly Correlated Electrons · Physics 2019-07-02 Preetha Saha , Zhijie Fan , Depei Zhang , Gia-Wei Chern

A key open question in the glass transition field is whether a finite temperature thermodynamic transition to the glass state exists or not. Recent simulations of coupled replicas in atomistic models have found signatures of a static…

Statistical Mechanics · Physics 2015-06-18 Juan P. Garrahan