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Phase transitions in a modified Nishimori model, including the model considered by Kitatani, on a two-dimensional square lattice are investigated using a tensor-network-based sampling scheme. In this model, generating bond configurations is…

Disordered Systems and Neural Networks · Physics 2026-03-20 Takumi Oshima , Yamato Arai , Koji Hukushima

We have analyzed a non-randomly frustrated spin model which exhibits behavior remarkably similar to the phenomenology of structural glasses. The high-temperature disordered phase undergoes a strong first-order transition to a long-range…

Statistical Mechanics · Physics 2008-02-03 Lei Gu , Bulbul Chakraborty

Similarities between fragile glasses and spin glasses (SG) suggest the study of frustrated spin model to understand the complex dynamics of glasses above the glass transition. We consider a frustrated spin model with Ising spins and s-state…

Disordered Systems and Neural Networks · Physics 2007-05-23 Giancarlo Franzese , Antonio Coniglio

The finite-temperature phase diagram of the Hubbard model in $d=3$ is obtained from renormalization-group analysis. It exhibits, around half filling, an antiferromagnetic phase and, between 30%--40% electron or hole doping from half…

Strongly Correlated Electrons · Physics 2007-05-23 G. Migliorini , A. N. Berker

We have considered a new type of 'XY' model where spins are placed on concentric ring with constant spin density in every ring. The spin executes continuous rotation under a modified Shore-Zwanzig Hamiltonian (J. Chem. Phys. 63, 5445…

Statistical Mechanics · Physics 2012-11-29 Rajib Biswas , Biman Bagchi

Dyson [Commun. Math. Phys. 12, 91 (1969)] rigorously proved the existence of a phase transition in the one-dimensional Ising model with long-range interactions of the form $r^{-\alpha}$ for $1 < \alpha < 2$. In the present study, we extend…

Mathematical Physics · Physics 2026-04-09 Manaka Okuyama , Masayuki Ohzeki

Using the strong coupling diagram technique, we find three phases of the half-filled isotropic Hubbard model on a triangular lattice at finite temperatures. The weak-interaction ($U\lesssim5t$) and strong-interaction ($U\gtrsim9t$) phases…

Strongly Correlated Electrons · Physics 2025-04-10 A. Sherman

We study the phase diagram, both at zero and finite temperature, in a class of $\mathbb{Z}_q$ models with infinite range interactions. We are able to identify the transitions between a symmetry-breaking and a trivial phase by using a…

Statistical Mechanics · Physics 2020-08-04 Adu Offei-Danso , Federica Maria Surace , Fernando Iemini , Angelo Russomanno , Rosario Fazio

In this work we study numerically a short range p-spin glass model in three dimensions. The behaviour of the model appears to be remarkably different from mean field predictions. In fact it shares some features typical of models with full…

Disordered Systems and Neural Networks · Physics 2009-10-31 Matteo Campellone , Barbara Coluzzi , Giorgio Parisi

In the present work, we investigate the effects of long-range interactions on the phase transitions of two-dimensional ferromagnetic models with single-ion anisotropy at zero and finite temperatures. The Hamiltonian is given by…

Strongly Correlated Electrons · Physics 2015-06-19 A. R. Moura

One of the key predictions of Parisi's broken replica symmetry theory of spin glasses is the existence of a phase transition in an applied field to a state with broken replica symmetry. This transition takes place at the de Almeida-Thouless…

Disordered Systems and Neural Networks · Physics 2024-12-12 Bharadwaj Vedula , M. A. Moore , Auditya Sharma

It is proven rigorously that the ground state in the Edwards-Anderson spin glass model is unique in any dimension for almost all continuous random exchange interactions under a condition that a single spin breaks the global ${\mathbb Z}_2$…

Disordered Systems and Neural Networks · Physics 2021-05-20 C. Itoi

We search for a Gardner transition in glassy glycerol, a standard molecular glass, measuring the third harmonics cubic susceptibility $\chi_3^{(3)}$ from slightly below the usual glass transition temperature down to $10K$. According to the…

Disordered Systems and Neural Networks · Physics 2021-01-20 Samuel Albert , Giulio Biroli , François Ladieu , Roland Tourbot , Pierfrancesco Urbani

The continuous quantum phase transition between noninteracting, time-reversal symmetric topological and trivial insulators in three dimensions is described by the massless Dirac fermion. We address the stability of this quantum critical…

Mesoscale and Nanoscale Physics · Physics 2016-07-06 Bitan Roy , Pallab Goswami , Jay D. Sau

We consider a variety of nearest-neighbor spin models defined on the d-dimensional hypercubic lattice Z^d. Our essential assumption is that these models satisfy the condition of reflection positivity. We prove that whenever the associated…

Probability · Mathematics 2007-05-23 Marek Biskup , Lincoln Chayes

By means of quantum Monte Carlo simulations implemented with a two-loop update scheme, the finite-temperature phase diagram of a three-body constrained attractive Bose lattice gas is investigated. The nature of the thermal phase transitions…

Quantum Gases · Physics 2011-03-24 Kwai-Kong Ng , Min-Fong Yang

We investigate the Hubbard model on the anisotropic triangular lattice by means of the cellular dynamical mean field theory. The phase diagram determined in the Hubbard interaction versus temperature plane shows novel reentrant behavior in…

Strongly Correlated Electrons · Physics 2009-11-13 Takuma Ohashi , Tsutomu Momoi , Hirokazu Tsunetsugu , Norio Kawakami

We present results of Monte Carlo simulations of the three-dimensional Edwards-Anderson Ising spin glass in the presence of a (random) field. A finite-size scaling analysis of the correlation length shows no indication of a transition, in…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. P. Young , Helmut G. Katzgraber

We generalize the simplest kinetically constrained model of a glass-forming liquid by softening kinetic constraints, allowing them to be violated with a small finite rate. We demonstrate that this model supports a first-order dynamical…

Statistical Mechanics · Physics 2010-10-14 Yael S. Elmatad , Robert L. Jack , Juan P. Garrahan , David Chandler

By controlling quantum fluctuations via the Falk-Bruch inequality we give the first rigorous argument for the existence of a spin-glass phase in the quantum Sherrington-Kirkpatrick model with a transverse magnetic field if the temperature…

Disordered Systems and Neural Networks · Physics 2021-11-16 Hajo Leschke , Chokri Manai , Rainer Ruder , Simone Warzel