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We investigated microscopic lattice states in the donor-acceptor ionic Mott insulator, TTF-BA, by $^{79}$Br-NQR spectroscopy to explore cross-correlated fluctuations between spin, charge and lattice. A ferroelectric transition with lattice…

Strongly Correlated Electrons · Physics 2021-08-11 Keishi Sunami , Tomohiro Baba , Kazuya Miyagawa , Sachio Horiuchi , Kazushi Kanoda

We study the low-temperature critical behavior of the one-dimensional Hubbard model near half filling caused by enhanced antiferromagnetic fluctuations. We use a mean-field-type approximation with a two-particle self-consistency…

Strongly Correlated Electrons · Physics 2021-09-10 Václav Janiš , Antonín Klíč , Jiawei Yan

We study the S=1/2 Heisenberg (J) model on the two-dimensional square lattice in the presence of additional higher-order spin interactions (Q) which lead to a valence-bond-solid (VBS) ground state. Using quantum Monte Carlo simulations, we…

Strongly Correlated Electrons · Physics 2013-06-19 Songbo Jin , Anders W. Sandvik

We study numerically the paramagnetic phase of the spin-1/2 random transverse-field Ising chain, using a mapping to non-interacting fermions. We extend our earlier work, Phys. Rev. 53, 8486 (1996), to finite temperatures and to dynamical…

Disordered Systems and Neural Networks · Physics 2009-10-30 A. P. Young

We study the phase diagram and critical behavior of the two-dimensional square-lattice fully frustrated XY model (FFXY) and of two related models, a lattice discretization of the Landau-Ginzburg-Wilson Hamiltonian for the critical modes of…

Statistical Mechanics · Physics 2011-02-16 Martin Hasenbusch , Andrea Pelissetto , Ettore Vicari

In this work we present a thorough analysis of the phase transitions that occur in a ferromagnetic 2D Ising model, with only nearest-neighbors interactions, in the framework of the Tsallis nonextensive statistics. We performed Monte Carlo…

Statistical Mechanics · Physics 2011-07-01 N. Crokidakis , D. O. Soares-Pinto , M. S. Reis , A. M. Souza , R. S. Sarthour , I. S. Oliveira

Near a quantum critical point (QCP) in a metal, strong Fermion-Fermion interactions mediated by soft collective bosons give rise to two competing phenomena: non-Fermi liquid behavior and superconductivity that deviates from conventional BCS…

Superconductivity · Physics 2025-12-24 Ahmed Elezaby , Artem Abanov

We present a study of the critical phenomena around the quantum critical point in heavy-fermion systems. In the framework of the S=1/2 Kondo lattice model, we introduce an extended decoupling scheme of the Kondo interaction which allows one…

Strongly Correlated Electrons · Physics 2009-10-31 M. Lavagna , C. Pépin

Critical and compensation properties of a mixed spin-1 and spin-3/2 Ising ferrimagnet on a square lattice are investigated by standard and histogram Monte Carlo simulations. The critical temperature is studied as a function of a single-ion…

Statistical Mechanics · Physics 2012-12-24 M. Žukovič , A. Bobák

The critical behavior of the classical Ising model on a three-dimensional fractal lattice with Hausdorff dimension $d_H = \ln32 / \ln4 = 2.5$ is investigated using the higher-order tensor renormalization group (HOTRG) method. We determine…

Statistical Mechanics · Physics 2025-06-27 Jozef Genzor , Roman Krčmár , Hiroshi Ueda , Denis Kochan , Andrej Gendiar , Tomotoshi Nishino

Within the generalized DMFT+$\Sigma$ approach we study disorder effects in the temperature dependence of paramagnetic critical magnetic field $H_{cp}(T)$ for Hubbard model with attractive interaction. We consider the wide range of…

Superconductivity · Physics 2018-10-12 E. Z. Kuchinskii , N. A. Kuleeva , M. V. Sadovskii

We studied the critical behavior of the $J_{1}-J_{2}$ spin-{1/2} Ising model in the square lattice by considering $J_{1}$ fixed and $J_{2}$ as random interactions following discrete and continuous probability distribution functions. The…

Statistical Mechanics · Physics 2021-12-23 Octavio D. Rodriguez Salmon , Minos A. Neto , Thiago Lobo , Francisco Dinola Neto

We reexamine the disorder-dominated multicritical point of the two-dimensional +/-J Ising model, known as the Nishimori point (NP). At the NP we investigate numerically and analytically the behavior of the disorder correlator, familiar from…

Statistical Mechanics · Physics 2011-08-05 Florian Merz , J. T. Chalker

We investigate the proposal that for weakly coupled two-dimensional magnets the transition temperature scales with a critical exponent which is equivalent to that of the susceptibility in the underlying two-dimensional model, $ \gamma $.…

Statistical Mechanics · Physics 2020-02-19 Jordan C. Moodie , Manjinder Kainth , Matthew R. Robson , M. W. Long

We consider the three-dimensional randomly diluted Ising model and study the critical behavior of the static and dynamic spin-spin correlation functions (static and dynamic structure factors) at the paramagnetic-ferromagnetic transition in…

Disordered Systems and Neural Networks · Physics 2009-11-13 Pasquale Calabrese , Andrea Pelissetto , Ettore Vicari

We perform intensive numerical simulations of the three-dimensional site-diluted Ising antiferromagnet in a magnetic field at high values of the external applied field. Even if data for small lattice sizes are compatible with second-order…

Disordered Systems and Neural Networks · Physics 2009-11-13 A. Maiorano , V. Martín-Mayor , J. J. Ruiz-Lorenzo , A. Tarancón

A periodic Ising model is one endowed with interactions that are invariant under translations of members of a full-rank sublattice $\mathfrak{L}$ of $\mathbb{Z}^2$. We give an exact, quantitative description of the critical temperature,…

Mathematical Physics · Physics 2012-04-10 Zhongyang Li

The order parameter for a continuous transition shows diverging fluctuation near the critical point. Here we show, through numerical simulations and scaling arguments, that the inequality (or variability) between the values of an order…

Statistical Mechanics · Physics 2024-01-30 Soumyaditya Das , Soumyajyoti Biswas , Anirban Chakraborti , Bikas K. Chakrabarti

We calculate the resistivity associated with an Ising-nematic quantum critical point in the presence of disorder and acoustic phonons in the lattice model. We use the memory-matrix transport theory, which has a crucial advantage compared to…

Strongly Correlated Electrons · Physics 2020-06-26 Lucas E. Vieira , Vanuildo S. de Carvalho , Hermann Freire

We study the pairing instability of a two-dimensional metallic system induced by Ising-nematic quantum fluctuations in the presence of an unavoidable relevant coupling of the nematic order parameter to the elastic modes (acoustic phonons)…

Strongly Correlated Electrons · Physics 2022-06-07 Vanuildo S. de Carvalho , Hermann Freire