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We study the effects of quenched disorder on the first-order phase transition in the two-dimensional three-color Ashkin-Teller model by means of large-scale Monte Carlo simulations. We demonstrate that the first-order phase transition is…

Disordered Systems and Neural Networks · Physics 2015-06-09 Qiong Zhu , Xin Wan , Rajesh Narayanan , José A. Hoyos , Thomas Vojta

Critical behaviour of a nearly critical system, subjected to vivid turbulent mixing, is studied by means of the field theoretic renormalization group. Namely, relaxational stochastic dynamics of a non-conserved order parameter of the…

Statistical Mechanics · Physics 2015-03-20 N. V. Antonov , A. S. Kapustin

We systematically study the effects of higher-order interactions on the S = 3/2, 1 orthogonal dimer chains using exact diagonalization and density matrix renormalization group. Due to frustration and higher spin, there are rich quantum…

Strongly Correlated Electrons · Physics 2023-12-06 Ke Ren , Muwei Wu , Shou-Shu Gong , Dao-Xin Yao , Han-Qing Wu

We study the qualitative features of the QCD phase diagram in the context of the linear quark-meson model with two flavours, using the exact renormalization group. We identify the universality classes of the second-order phase transitions…

High Energy Physics - Theory · Physics 2010-04-05 N. Tetradis

In this paper we explore the effects of quasiperiodicity in paradigmatic models of Chern insulators. We identify a plethora of topological phase transitions and characterize them based on spectral and localization properties. Contrary to…

Disordered Systems and Neural Networks · Physics 2022-12-16 Tiago S. Gonçalves , Miguel Gonçalves , Pedro Ribeiro , Bruno Amorim

We report on the quantitative ground state phase diagram of a van der Waals interacting chain of Rydberg atoms. These systems are known to host crystalline phases locked to the underlying lattice as well as a gapped, disordered phase. We…

Quantum Gases · Physics 2019-08-07 Michael Rader , Andreas M. Läuchli

Dressed Rydberg atoms in optical lattices are a promising platform for the quantum simulation of intriguing phenomena emerging in strongly interacting systems. Relevant to such a setup, we investigate the phase diagram of hard-core bosons…

We analyze the anomalous behavior in hole-doped cuprates near 1/8 doping in terms of the commensurate-incommensurate transition of a stripe phase. Based on an effective Ginzburg-Landau theory appropriate for weak pinning, we calculate the…

Strongly Correlated Electrons · Physics 2007-08-09 E. Kaneshita , I. Martin , A. R. Bishop

The Ashkin-Teller model is a pair of interacting Ising models and has two parameters: $J$ is a coupling constant in the Ising models and $U$ describes the strength of the interaction between them. In the ferromagnetic case $J,U>0$ on the…

Probability · Mathematics 2023-01-26 Yacine Aoun , Moritz Dober , Alexander Glazman

The bulk properties and impurity effect in the one-dimensional S=1/2 Heisenberg model with dimerization and next-nearest-neighbor exchange are studied by the density matrix renormalization group (DMRG) and exact diagonalization methods.…

Strongly Correlated Electrons · Physics 2009-10-31 Shinji Watanabe , Hisatoshi Yokoyama

We present new numerical tools to analyze symmetry-broken phases in the context of $SU(2)$-symmetric translation-invariant matrix product states (MPS) and density-matrix renormalization-group (DMRG) methods for infinite cylinders, and…

Strongly Correlated Electrons · Physics 2019-04-04 S. N. Saadatmand , I. P. McCulloch

We propose a new but simpler explanation of the phases of a Frenkel-Kontorova chain of atoms, and we demonstrate it by examples. Combined with this, we present a criticism of the theory of so-called commensurate and incommensurate states,…

Statistical Mechanics · Physics 2022-10-14 Wolfgang Quapp , Josep Maria Bofill

The unconstrained ensemble describes completely open systems in which energy, volume and number of particles fluctuate. Here we show that not only equilibrium states can exist in this ensemble, but also that completely open systems can…

Statistical Mechanics · Physics 2021-04-14 Alessandro Campa , Lapo Casetti , Ivan Latella , Stefano Ruffo

The effect of explicit chiral-symmetry breaking on inhomogeneous chiral phases is studied within a Nambu-Jona-Lasinio model with nonzero current quark mass. Generalizing an earlier result obtained in the chiral limit, we show within a…

High Energy Physics - Phenomenology · Physics 2020-06-04 Michael Buballa , Stefano Carignano

Perturbative corrections to the mean field theory for particle-hole instabilities of interacting electron systems are computed within a scheme which is equivalent to the recently developed variational approach to the Kohn-Luttinger…

Strongly Correlated Electrons · Physics 2015-06-25 R. Hlubina

$O(n) \times O(m)$ symmetric Landau-Ginzburg models in $d=3$ dimension possess a rich structure of the renormalization group and its understanding offers a theoretical prediction of the phase diagram in frustrated spin models with…

High Energy Physics - Theory · Physics 2014-07-09 Yu Nakayama , Tomoki Ohtsuki

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

How can a renormalization group fixed point be scale invariant without being conformal? Polchinski (1988) showed that this may happen if the theory contains a virial current -- a non-conserved vector operator of dimension exactly $(d-1)$,…

High Energy Physics - Theory · Physics 2021-01-19 Simao Meneses , Joao Penedones , Slava Rychkov , J. M. Viana Parente Lopes , Pierre Yvernay

With dynamic Monte Carlo simulations, we investigate the continuous phase transition in the three-dimensional three-state random-bond Potts model. We propose a useful technique to deal with the strong corrections to the dynamic scaling…

Statistical Mechanics · Physics 2014-08-26 L. Wang , N. J. Zhou , B. Zheng

Using a new version of the density-matrix renormalization group we determine the phase diagram of a model of an antiferromagnetic Heisenberg spin chain where the spins interact with quantum phonons. A quantum phase transition from a gapless…

Condensed Matter · Physics 2009-10-31 Robert J. Bursill , Ross H. McKenzie , Chris J. Hamer