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We study the equilibrium and dynamic phase transition properties of two-dimensional Ising model on a decorated triangular lattice under the influence of a time-dependent magnetic field composed of a periodic square wave part plus a time…

Statistical Mechanics · Physics 2023-07-25 Yusuf Yüksel

We study the computational complexity of approximating the partition function of the ferromagnetic Ising model with the external field parameter $\lambda$ on the unit circle in the complex plane. Complex-valued parameters for the Ising…

Computational Complexity · Computer Science 2021-01-25 Pjotr Buys , Andreas Galanis , Viresh Patel , Guus Regts

Engineering long-range interactions in experimental platforms has been achieved with great success in a large variety of quantum systems in recent years. Inspired by this progress, we propose a generalization of the classical Hamiltonian…

Statistical Mechanics · Physics 2022-09-15 Harald Schmid , Johannes Dieplinger , Andrea Solfanelli , Sauro Succi , Stefano Ruffo

In this work we investigate the Blume-Capel model with infinite-range ferromagnetic interactions and under the influence of a quenched disorder - a random crystal field. For a suitable choice of the random crystal field the model displays a…

Statistical Mechanics · Physics 2016-08-08 P. V. Santos , F. A. Costa , J. M. Araújo

Lee-Yang and Fisher zeros are crucial for the study of phase transitions in the grand canonical and the canonical ensembles, respectively. However, these powerful methods do not cover the isothermal-isobaric ensemble (NPT ensemble), which…

Statistical Mechanics · Physics 2019-11-27 Timur Aslyamov , Iskander Akhatov

The hot nucleus $^{162}\mathrm{Dy}$ is investigated using covariant density functional theory, where the shell-model-like approach treats the pairing correlation. Lee-Yang's theorem is applied to classify the pairing phase transition by…

Nuclear Theory · Physics 2023-03-17 Yuhang Gao , Yanlong Lin , Lang Liu

Nuclear matter at finite temperature and barion density exhibits several phase transitions that could happen at the early stages of the Universe evolution and could be realized in heavy-ion or hadron-hadron collisions. Microscopic…

High Energy Physics - Phenomenology · Physics 2015-02-26 V. I. Yukalov , E. P. Yukalova

Phase transitions in a classical Heisenberg spin model of a chiral helimagnet with the Dzyaloshinskii--Moriya (DM) interaction in three dimensions are numerically studied. By using the event-chain Monte Carlo algorithm recently developed…

Statistical Mechanics · Physics 2016-08-29 Yoshihiko Nishikawa , Koji Hukushima

Phase transitions are one of the most interesting natural phenomena. For finite systems, one of the concerns in the topic is how to classify a specific transition as being of first, second, or even of a higher order, according to the…

Statistical Mechanics · Physics 2024-10-18 J. C. S. Rocha , B. V. Costa

We perform Monte Carlo simulations, combining both the Wang-Landau and the Metropolis algorithms, to investigate the phase diagrams of the Blume-Capel model on different types of nonregular lattices (Lieb lattice (LL), decorated triangular…

Statistical Mechanics · Physics 2022-03-14 Mouhcine Azhari , Unjong Yu

Interacting quantum systems illustrate complex phenomena including phase transitions to novel ordered phases. The universal nature of critical phenomena reduces their description to determining only the transition temperature and the…

Lee-Yang theory is central to the analysis of thermal phase transitions. However, the underlying mechanism of the theory and the nature of Lee-Yang zeros in quantum many-body systems remains elusive. Here, we develop a unified framework for…

Quantum Physics · Physics 2026-01-21 Tian-Yi Gu , Gaoyong Sun

We show that, at the critical temperature, there is a class of Lee-Yang zeros of the partition function in a general scalar field theory, which location scales with the size of the system with a characteristic exponent expressed in terms of…

High Energy Physics - Theory · Physics 2017-06-07 N. G. Antoniou , F. K. Diakonos , X. N. Maintas , C. E. Tsagkarakis

Critical phenomena and universality behavior of ferromagnetic thin films described by a spin-1 Blume-Capel Hamiltonian has been examined for various thickness values ranging from 3 to 40 layers. Using effective field theory, we have found…

Statistical Mechanics · Physics 2015-06-15 Yusuf Yuksel , Umit Akinci

We employ the microcanonical inflection-point analysis method, developed for the systematic identification and classification of phase transitions in systems of any size, to study the two-dimensional Ising model at various lattice sizes and…

Statistical Mechanics · Physics 2023-06-30 Kedkanok Sitarachu , Michael Bachmann

We used mean-field theory based on the Bogoliubov inequality for the Gibbs free energy to examine the magnetic properties of a mixed spin-5/2 and spin-7/2 Blume-Capel ferrimagnetic system. The thermal behaviours of the system magnetization…

Statistical Mechanics · Physics 2019-10-03 M. Karimou , R. A. Yessoufou , G. Dimitri Ngantso , F. Hontinfinde , E. Albayrak

We present a new theoretical approach for the study of the phase diagram of interacting quantum particles: bosons, fermions or spins. In the neighborhood of a phase transition, the expected renormalization group structure is recovered both…

Strongly Correlated Electrons · Physics 2009-10-31 Pietro Gianinetti , Alberto Parola

The effects of bond randomness on the ground-state structure, phase diagram and critical behavior of the square lattice ferromagnetic Blume-Capel (BC) model are discussed. The calculation of ground states at strong disorder and large values…

Statistical Mechanics · Physics 2015-05-14 A. Malakis , A. Nihat Berker , I. A. Hadjiagapiou , N. G. Fytas , T. Papakonstantinou

A grand canonical system of non-interacting fermions on a square lattice is considered at zero temperature. Three different phases exist: an empty lattice, a completely filled lattice and a liquid phase which interpolates between the other…

Condensed Matter · Physics 2015-06-25 M. Hettler , K. Ziegler

We give a general introduction to quantum phase transitions in strongly-correlated electron systems. These transitions which occur at zero temperature when a non-thermal parameter $g$ like pressure, chemical composition or magnetic field is…

Strongly Correlated Electrons · Physics 2009-11-07 M. Lavagna
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