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Interplay of topology and competing interactions can induce new phases and phase transitions at finite temperatures. We consider a weakly coupled two-dimensional hexatic-nematic XY model with a relative $Z_3$ Potts degrees of freedom,and…

Statistical Mechanics · Physics 2023-04-18 Feng-Feng Song , Guang-Ming Zhang

To demonstrate the role played by the von Neumann entropy spectra in quantum phase transitions we investigate the one-dimensional anisotropic SU(2)$\otimes XXZ$ spin-orbital model with negative exchange parameter. In the case of classical…

Strongly Correlated Electrons · Physics 2015-08-06 Wen-Long You , Andrzej M. Oleś , Peter Horsch

A spin system is studied, with simultaneous permutation-symmetric Potts and spin-rotation-symmetric clock interactions, in spatial dimensions d=2 and 3. The global phase diagram is calculated from the renormalizaton-group solution with the…

Statistical Mechanics · Physics 2023-09-12 E. Can Artun , A. Nihat Berker

Ultracold bosons in optical lattices are one of the few systems where bosonic matter is known to exhibit strong correlations. Here we push the frontier of our understanding of interacting bosons in optical lattices by adding synthetic…

Quantum Gases · Physics 2018-01-03 Daisuke Yamamoto , I. B. Spielman , C. A. R. Sá de Melo

We develop a fully microscopic, statistical mechanics approach to study phase transitions in Ising systems with competing interactions at different scales. Our aim is to consider orientational and positional order parameters in a unified…

Statistical Mechanics · Physics 2011-09-28 Daniel G. Barci , Daniel A. Stariolo

Both quantum phase transitions and thermodynamic phase transitions are probably induced by fluctuations, yet the specific mechanism through which fluctuations cause phase transitions remains unclear in existing theories. This paper…

Statistical Mechanics · Physics 2025-05-13 Yonglong Ding

We quantify the instability towards the formation of multipolar states in coupled spin-1/2 chain systems with a frustrating J1-J2 exchange, in parameter regimes that are of directly relevance to edge-shared cuprate spin-chain compounds.…

Strongly Correlated Electrons · Physics 2013-03-11 S. Nishimoto , S. -L. Drechsler , R. O. Kuzian , J. Richter , Jeroen van den Brink

Using fundamental measure density functional theory we investigate paranematic-nematic and nematic-nematic phase coexistence in binary mixtures of circular platelets with vanishing thicknesses. An external magnetic field induces uniaxial…

Soft Condensed Matter · Physics 2015-05-27 Jonathan Phillips , Matthias Schmidt

The nature of the melting transition in two-dimensional systems of particles has attracted considerable research attention since the development of Kosterlitz-Thouless-Halperin-Nelson-Young (KTHNY) theory. The hexatic phase proposed by this…

Other Condensed Matter · Physics 2026-05-13 Daniel Schick , Tim Matthies , Thomas Mutschler , Levente Rózsa , Ulrich Nowak

The two-dimensional Ising model with nearest-neighbor ferromagnetic and long-range dipolar interactions exhibits a rich phase diagram. The presence of the dipolar interaction changes the ferromagnetic ground state expected for the pure…

Statistical Mechanics · Physics 2010-02-18 Leandro G. Rizzi , Nelson A. Alves

A two-temperature lattice gas model with repulsive nearest-neighbour interactions is studied using Monte Carlo simulations and dynamical mean-field approximation. The evolution of the two-dimensional, half-filled system is described by an…

Statistical Mechanics · Physics 2009-10-30 Attila Szolnoki

We study the phase transition in a system composed of dimers interacting with each other via a nearest-neighbor (NN) exchange $J$ and competing interactions taken from a truncated dipolar coupling. Each dimer occupies a link between two…

Statistical Mechanics · Physics 2013-09-06 Danh-Tai Hoang , Hung T. Diep

We investigate the anisotropic coupled-top model, which describes the interactions between two large spins along both $x-$ and $y-$directions. By tuning anisotropic coupling strengths along distinct directions, we can manipulate the…

Strongly Correlated Electrons · Physics 2025-04-30 Wen-Jian Mao , Tian Ye , Liwei Duan , Yan-Zhi Wang

The dynamic phase transitions have been studied, within a mean-field approach, in the kinetic spin-1 Ising model Hamiltonian with arbitrary bilinear and biquadratic pair interactions in the presence of a time varying (sinusoidal) magnetic…

Statistical Mechanics · Physics 2009-11-11 Mustafa Keskin , Osman Canko , Ersin Kantar

We investigate a two-parametric family of one-dimensional non-Hermitian complex potentials with parity-time ($\mathcal{PT}$) symmetry. We find that there exist two distinct types of phase transitions, from an unbroken phase (characterized…

Quantum Physics · Physics 2025-11-13 Jinlin Fan , Feilong Wang , Ruolin Chai Zhibin Zhao , Qiongtao Xie

Two known distinct examples of one-dimensional systems which are known to exhibit a phase transition are critically examined: (A) a lattice model with harmonic nearest-neighbor elastic interactions and an on-site Morse potential, and (B)…

Statistical Mechanics · Physics 2007-06-17 N. Theodorakopoulos

A large number of symmetry-protected topological (SPT) phases have been hypothesized for strongly interacting spin-1/2 systems in one dimension. Realizing these SPT phases, however, often demands fine-tunings hard to reach experimentally.…

Quantum Gases · Physics 2019-05-21 Haiyuan Zou , Erhai Zhao , Xi-Wen Guan , W. Vincent Liu

A self-interacting polymer can undergo an orientational ordering transition, depending on the magnitude of the nematic interaction. The effect of embedding such a polymer into a flexible surface on this transition is studied on the…

Condensed Matter · Physics 2009-10-28 Rudolf Podgornik

We consider the weakly first order phase transition between the isotropic and ordered phases of nematics in terms of the behavior of topological line defects. Analytical and Monte Carlo results are presented for a new coarse-grained lattice…

Condensed Matter · Physics 2009-10-28 Paul E. Lammert , Daniel S. Rokhsar , John Toner

We consider a two-dimensional lattice gas model with repulsive nearest- and next-nearest-neighbor interactions that evolves in time according to anisotropic Kawasaki dynamics. The hopping of particles along the principal directions is…

Condensed Matter · Physics 2007-05-23 Attila Szolnoki , Gyorgy Szabo
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