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We perform Monte Carlo simulations of a three-dimensional spin system with a Hamiltonian which contains only four-spin interaction term. This system describes random surfaces with extrinsic curvature - gonihedric action. We study the…

Condensed Matter · Physics 2009-11-07 G. Koutsoumbas , G. K. Savvidy

We establish, within the second quantization method, the general dipole-dipole Hamiltonian interaction of a system of $n$-level atoms. The variational energy surface of the $n$-level atoms interacting with $\ell$-mode fields and under the…

Quantum Physics · Physics 2022-04-06 Sergio Cordero , Octavio Castaños , Ramón López-Peña , Eduardo Nahmad-Achar

In this work, we study a biquadratic Heisenberg model with coupled orbital degree of freedom using Monte Carlo simulation in order to investigate the phase transitions in iron-based superconductors. The antiferro-quadrupolar state, which…

Superconductivity · Physics 2016-03-22 W. Z. Zhuo , M. H. Qin , S. Dong , X. G. Li , J. M. Liu

Anisotropic magnetic colloids with permanent dipole moments exhibit rich field-responsive behavior arising from the interplay between particle geometry, dipolar interactions, and external driving. Modeling these systems remains challenging…

Soft Condensed Matter · Physics 2026-04-07 Jorge L. C. Domingos

The magnetic behaviors of a spin-1/2 alternating Heisenberg antiferromagnetic chain in a staggered transverse magnetic field is studied by means of the density-matrix renormalization group method and Jordan-Wigner transformation. Quantum…

Strongly Correlated Electrons · Physics 2009-04-07 Guang-Qiang Zhong , Shou-Shu Gong , Qing-Rong Zheng , Gang Su

We study the quantum spin-1/2 Heisenberg model in two dimensions, interacting through a nearest-neighbor antiferromagnetic exchange ($J$) and a ferromagnetic dipolar-like interaction ($J_d$), using double-time Green's function, decoupled…

Statistical Mechanics · Physics 2009-11-11 J. Ricardo de Sousa , N. S. Branco

Neutron stars are ideal astrophysical laboratories for testing theories of the de Haas-van Alphen (dHvA) effect and diamagnetic phase transition which is associated with magnetic domain formation. The "magnetic interaction" between…

Solar and Stellar Astrophysics · Physics 2016-06-01 Zhaojun Wang , Guoliang Lu , Chunhua Zhu , Baoshan Wu

The two-dimensional (2D) XY model plays a crucial role in statistical and condensed matter physics. With the introduction of long-range interactions, the system exhibits a richer set of physical phenomena and a crossover between…

Statistical Mechanics · Physics 2025-11-14 Dingyun Yao , Tianning Xiao , Chao Zhang , Youjin Deng , Zhijie Fan

We study the ferromagnetic phase transition in a randomly layered Heisenberg magnet using large-scale Monte-Carlo simulations. Our results provide numerical evidence for the infinite-randomness scenario recently predicted within a…

Statistical Mechanics · Physics 2015-03-19 Fawaz Hrahsheh , Hatem Barghathi , Thomas Vojta

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

We consider quantum Heisenberg ferro- and antiferromagnets on the square lattice with exchange anisotropy of easy-plane or easy-axis type. The thermodynamics and the critical behaviour of the models are studied by the pure-quantum…

Statistical Mechanics · Physics 2015-06-24 A. Cuccoli , T. Roscilde , V. Tognetti , R. Vaia , P. Verrucchi

Quantum phase transitions in the Hubbard model on the honeycomb lattice are investigated in the variational cluster approximation. The critical interaction for the paramagnetic to antiferromagnetic phase transition is found to be in…

Strongly Correlated Electrons · Physics 2012-09-11 K. Seki , Y. Ohta

The two-dimensional extended Hubbard model that includes a nearest- neighbor Heisenberg interaction is studied using a mean-field theory where quasiparticles are defined by an U(8) group of canonical transformations. The theory is a…

Condensed Matter · Physics 2009-10-22 A. B. Eriksson , T. Einarsson , S. Ostlund

The anisotropic s=1/2 anti-ferromagnetic Heisenberg chain in the presence of an external magnetic field is studied by using the standard quantum renormalization group. We obtain the critical line of the transition from partially magnetized…

Strongly Correlated Electrons · Physics 2009-10-31 A. Langari

The behavior of many magnetic and dielectric solids, and the more contemporary magnetic super-lattices, is governed by dipolar interactions. They are anisotropic and long-ranged, having varied consequences ranging from ground states with…

Statistical Mechanics · Physics 2021-08-25 Shikha Kumari , Sanjay Puri , Varsha Banerjee

Uniaxially (Z-axis) anisotropic Heisenberg ferromagnet, in presence of time dependent (but uniform over space) magnetic field, is studied by Monte Carlo simulation. The time dependent magnetic field was taken as elliptically polarised where…

Statistical Mechanics · Physics 2011-01-21 Muktish Acharyya

The antiferromagnetic Heisenberg model on a stacked triangular geometry with a finite number of layers is studied using Monte Carlo methods. A topological phase transition occurs at finite temperature for all film thicknesses. Our results…

Statistical Mechanics · Physics 2009-11-10 A. Peles , B. W. Southern

A novel approach for studying phase transitions in systems with quantum degrees of freedom is discussed. Starting from the microscopic hamiltonian of a quantum model, we first derive a set of exact differential equations for the free energy…

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

A new class of nodal topological excitations in a two-dimensional Heisenberg model is studied. The solutions correspond to a nodal singular point of the gradient field of the azimuthal angle. An analytical solution found for the isotropic…

Statistical Mechanics · Physics 2007-05-23 I. G. Bostrem , A. S. Ovchinnikov

The stability of the ferromagnetic phase of the 2D quantum spin-1/2 model with nearest-neighbor ferro- and next-nearest neighbor antiferromagnetic interactions is studied. It turns out that values of exchange integrals at which the…

Strongly Correlated Electrons · Physics 2009-10-31 D. V. Dmitriev , V. Ya. Krivnov , A. A. Ovchinnikov
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