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The $Q$-state Potts model in two dimensions in the presence of external magnetic fields is studied. For general $Q\geq3$ special choices of these magnetic fields produce effective models with smaller $Z(Q')$ symmetry $(Q'< Q)$. The phase…

Condensed Matter · Physics 2009-10-28 F. C. Alcaraz , J. C. Xavier

We analyze the dynamics of the return amplitude following a sudden quench in the three-state quantum Potts chain. For quenches crossing the quantum critical point from the paramagnetic to the ferromagnetic phase, the corresponding rate…

Strongly Correlated Electrons · Physics 2017-02-27 C. Karrasch , D. Schuricht

We study three-state Potts spins on a square lattice, in which all bonds are ferromagnetic along one of the lattice directions, and antiferromagnetic along the other. Numerical transfer-matrix are used, on infinite strips of width $L$…

Statistical Mechanics · Physics 2009-11-07 Miguel Quartin , S L A de Queiroz

Motivated by systems where a high temperature non-Fermi liquid gives way to low temperature $\mathbb{Z}_3$ Potts nematic order, we studied a three-orbital Sachdev-Ye-Kitaev (SYK) model in the large-$N$ limit. In the single-site limit, this…

Strongly Correlated Electrons · Physics 2024-11-14 YuZheng Xie , Andrew Hardy , Arun Paramekanti

We consider random q-state Potts models for $3\le q \le 8$ on the square lattice where the ferromagnetic couplings take two values $J_1>J_2$ with equal probabilities. For any q the model exhibits a continuous phase transition both in the…

Statistical Mechanics · Physics 2015-06-25 Gábor Palágyi , Christophe Chatelain , Bertrand Berche , Ferenc Iglói

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

OpenAI's reasoning model o3-mini-high was used to carry out an exact analytic study of onedimensional ferrimagnetic site- and bond-decorated q-state Potts models. We demonstrate that the finitetemperature ultranarrow phase crossover (UNPC),…

Statistical Mechanics · Physics 2025-12-05 Weiguo Yin

We report that the thermally-induced Mott transition in vanadium sesquioxide shows critical-slowing-down and enhanced variance ('critical opalescence') of the order parameter fluctuations measured through low-frequency resistance-noise…

Statistical Mechanics · Physics 2023-01-23 Satyaki Kundu , Tapas Bar , Rajesh Kumble Nayak , Bhavtosh Bansal

We report on the pressure-induced unconventional superconductivity in the heavy-fermion antiferromagnet CeIn3 by means of nuclear-quadrupole-resonance (NQR) studies conducted under a high pressure. The temperature and pressure dependences…

Strongly Correlated Electrons · Physics 2009-11-13 S. Kawasaki , M. Yashima , Y. Kitaoka , K. Takeda , K. Shimizu , Y. Oishi , M. Takata , T. C. Kobayashi , H. Harima , S. Araki , H. Shishido , R. Settai , Y. Onuki

The effect of quantum and thermal fluctuations on the phase diagram of spin-2 BECs is examined. They are found to play an important role in the nematic part of the phase diagram, where a mean-field treatment of two-body interactions is…

Other Condensed Matter · Physics 2012-02-23 Ari Turner , Ryan Barnett , Eugene Demler , Ashvin Vishwanath

We examine the effects of strain and cation substitution on the superconducting phase of polar semiconductors near a ferroelectric quantum phase transition with a model that combines a strong coupling theory of superconductors with a…

Superconductivity · Physics 2018-11-01 J. R. Arce-Gamboa , G. G. Guzmán-Verri

We report a kind of quantum phase transition which takes place in isolated quantum systems with non-thermal equilibrium states and an extra symmetry that commutes with the Hamiltonian for any values of the system parameters. A critical…

Quantum Physics · Physics 2022-02-08 Ricardo Puebla , Armando Relaño

We present a detailed study of the finite temperature dynamical properties of the quantum Potts model in one dimension.Quasiparticle excitations in this model have internal quantum numbers, and their scattering matrix {\gf deep} in the…

Strongly Correlated Electrons · Physics 2009-11-11 Akos Rapp , Gergely Zarand

Nematic order is the breaking of rotational symmetry in the presence of translational invariance. While originally defined in the context of liquid crystals, the concept of nematic order has arisen in crystalline matter with discrete…

The q-state Potts model can be formulated in geometric terms, with Fortuin-Kasteleyn (FK) clusters as fundamental objects. If the phase transition of the model is second order, it can be equivalently described as a percolation transition of…

High Energy Physics - Phenomenology · Physics 2009-11-07 S. Fortunato , H. Satz

We study Glauber dynamics for the mean-field (Curie-Weiss) Potts model with $q\geq 3$ states and show that it undergoes a critical slowdown at an inverse-temperature $\beta_s(q)$ strictly lower than the critical $\beta_c(q)$ for uniqueness…

Probability · Mathematics 2015-06-04 Paul Cuff , Jian Ding , Oren Louidor , Eyal Lubetzky , Yuval Peres , Allan Sly

We study classical two-dimensional frustrated Heisenberg models with generically incommensurate groundstates. A new theory for the spin-nematic "order by disorder" transition is developed based on the self-consistent determination of the…

Strongly Correlated Electrons · Physics 2017-10-16 Michael Schecter , Olav. F. Syljuåsen , J. Paaske

We employ extensive NPT molecular dynamics simulations to explore the thermal transitions of two-dimensional colloidal crystals interacting via a core-softened potential with competing length scales. The system stabilizes three distinct…

Soft Condensed Matter · Physics 2025-08-20 Alexandre Vargas , Thiago Puccinelli , José Rafael Bordin

We carry out a detailed deuterium NMR study of local nematic ordering in polydomain nematic elastomers. This system has a close analogy to the random-anisotropy spin glass. We find that, in spite of the quadrupolar nematic symmetry in…

Disordered Systems and Neural Networks · Physics 2009-11-13 G. Feio , J. L. Figueirinhas , A. R. Tajbakhsh , E. M. Terentjev

We study the character of an Ising nematic quantum phase transition (QPT) deep inside a d-wave superconducting state with nodal quasiparticles in a two-dimensional tetragonal crystal. We find that, within a 1/N expansion, the transition is…

Superconductivity · Physics 2008-05-23 Eun-Ah Kim , Michael J. Lawler , Paul Oreto , Subir Sachdev , Eduardo Fradkin , Steven A. Kivelson