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The phase of spins in the quasi-two-dimensional (Q2D) XY model has emerged as a topic of significant interest across multiple physics subfields. Here, we propose a short-range (SR) Q2D XY model defined on a plane perpendicularly intersected…

Statistical Mechanics · Physics 2025-06-25 Minghui Hu , Chao Zhang , Dajun Zhang , Yanan Sun , Youjin Deng , Jian-Ping Lv

Coherent many-body quantum dynamics lies at the heart of quantum simulation and quantum computation. Both require coherent evolution in the exponentially large Hilbert space of an interacting many-body system. To date, trapped ions have…

We explore the equilibrium properties of a two-dimensional Ising spin model with short-range exchange and long-range dipolar interactions as a function of the applied magnetic field H. The model is studied through extensive Monte Carlo…

Materials Science · Physics 2010-11-24 Rogelio Diaz-Mendez , Roberto Mulet

Correlated electron systems with competing interactions provide a valuable platform for examining exotic magnetic phases. Theoretical models often focus on nearest-neighbor interactions, although long-range interactions can have a…

Strongly Correlated Electrons · Physics 2025-03-28 Sudip Mandal , Sandip Halder , Kalpataru Pradhan

Competition and cooperation among orders is at the heart of many-body physics in strongly correlated materials and leads to their rich physical properties. It is crucial to investigate what impact many-body physics has on extreme nonlinear…

Strongly Correlated Electrons · Physics 2022-04-06 K. Uchida , G. Mattoni , S. Yonezawa , F. Nakamura , Y. Maeno , K. Tanaka

Using {\it ab initio} approaches for extended Hubbard interactions coupled to phonons, we reveal that the intersite Coulomb interaction plays important roles in determining various distinctive phases of the paradigmatic charge ordered…

Strongly Correlated Electrons · Physics 2023-03-30 Bo Gyu Jang , Minjae Kim , Sang-Hoon Lee , Wooil Yang , Seung-Hoon Jhi , Young-Woo Son

We propose generalized variants of the $XY$ model capable of exhibiting an arbitrary number of phase transitions only by varying temperature. They are constructed by supplementing the magnetic coupling with $n_t-1$ nematic terms of…

Statistical Mechanics · Physics 2025-10-03 Milan Žukovič

In this paper we consider an approach, which allows researching a processes of order-disorder transition in various systems (with any distribution of the exchange integrals signs) in the frame of Ising model. A new order parameters, which…

Statistical Mechanics · Physics 2012-05-18 P. D. Andriushchenko , K. V. Nefedev

A model for a monolayer of two types of particles spontaneously forming ordered patterns is studied by a mesoscopic theory and by MC simulations. We assume hard-cores of the same size for both components, short-range attraction long-range…

Soft Condensed Matter · Physics 2023-11-10 O. Patsahan , A. Meyra , A. Ciach

In this work we have used extensive Monte Carlo calculations to study the planar to paramagnetic phase transition in the two-dimensional anisotropic Heisenberg model with dipolar interactions (AHd) considering the true long-range character…

Statistical Mechanics · Physics 2015-06-17 L. A. S. Mól , B. V. Costa

Phase coexistence phenomena have been intensively studied in strongly correlated materials where several ordered states simultaneously occur or compete. Material properties critically depend on external parameters and boundary conditions,…

The transition from a few-body system to a many-body system can result in new length scales, novel collective phenomena or even in a phase transition. Such a threshold behavior was shown for example in 4He droplets, where 4He turns into a…

We present a theoretical study of a model heterostructure for a Mott-insulator sandwiched between two band insulators, such as SrTiO3/LaTiO3. Particular emphasis is given on the interplay between magnetism and inhomogeneous charge…

Strongly Correlated Electrons · Physics 2013-02-19 Suguru Ueda , Norio Kawakami , Manfred Sigrist

We investigate the effect of three-body correlations on the phase behavior of hard rectangle two-dimensional fluids. The third virial coefficient, $B_3$, is incorporated via an equation of state that recovers scaled particle theory for…

Soft Condensed Matter · Physics 2009-11-11 Yuri Martinez-Raton , Enrique Velasco , Luis Mederos

Equilibrium properties of the three-dimensional isotropic Heisenberg spin glass are studied by extensive Monte Carlo simulations, with particular attention to the nature of its phase transition. A finite-size-scaling analysis is performed…

Disordered Systems and Neural Networks · Physics 2013-05-29 K. Hukushima , H. Kawamura

In a system of interacting thin rigid rods of equal length $2 \ell$ on a two-dimensional grid of lattice spacing $a$, we show that there are multiple phase transitions as the coupling strength $\kappa=\ell/a$ and the temperature are varied.…

Statistical Mechanics · Physics 2022-11-23 Juliane U. Klamser , Tridib Sadhu , Deepak Dhar

A simple effective model for a description of magnetically ordered insulators is analysed. The tight binding Hamiltonian consists of the effective on-site interaction (U) and intersite magnetic exchange interactions (Jz, Jxy) between…

Strongly Correlated Electrons · Physics 2012-05-01 Waldemar Kłobus , Konrad Kapcia , Stanisław Robaszkiewicz

We study the ordering kinetics in $d=2$ ferromagnets which corresponds to populated neuron activities with long-ranged interactions, $V(r)\sim r^{-n}$ associated with short-ranged interaction. We present the results from comprehensive Monte…

Neurons and Cognition · Quantitative Biology 2015-01-23 Awaneesh Singh , Jasleen Gundh , R. K. Brojen Singh

We study a family of models for an $N_1 \times N_2$ matrix worth of Ising spins $S_{aB}$. In the large $N_i$ limit we show that the spins soften, so that the partition function is described by a bosonic matrix integral with a single…

High Energy Physics - Theory · Physics 2019-12-25 Sean A. Hartnoll , Edward A. Mazenc , Zhengyan D. Shi

The investigation of many-body interactions holds significant importance in both quantum foundations and information. Hamiltonians coupling multiple particles at once, beyond others, can lead to a faster entanglement generation, multiqubit…