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We study the nature of the phase transition in the fully frustrated simple cubic lattice with the XY spin model. This system is the Villain's model generalized in three dimensions. The ground state is very particular with a 12-fold…

统计力学 · 物理学 2010-12-30 V. Thanh Ngo , D. Tien Hoang , Hung The Diep

We show in this paper the results on the phase transition of the so-called fully frustrated simple cubic lattice with the Ising spin model. We use here the Monte Carlo method with the flat energy-histogram Wang-Landau technique which is…

统计力学 · 物理学 2015-05-20 V. Thanh Ngo , D. Tien Hoang , Hung The Diep

By using the Wang-Landau flat-histogram Monte Carlo (MC) method for very large lattice sizes never simulated before, we show that the phase transition in the frustrated Heisenberg stacked triangular antiferromagnet is of first-order,…

统计力学 · 物理学 2008-08-06 V. Thanh Ngo , H. T. Diep

We consider the spin-1/2 antiferromagnetic Heisenberg model on a bilayer honeycomb lattice including interlayer frustration in the presence of an external magnetic field. In the vicinity of the saturation field, we map the low-energy states…

强关联电子 · 物理学 2017-03-22 Taras Krokhmalskii , Vasyl Baliha , Oleg Derzhko , Jörg Schulenburg , Johannes Richter

We study a finite-temperature phase transition in the two-dimensional classical Heisenberg model on a triangular lattice with a ferromagnetic nearest-neighbor interaction $J_1$ and an antiferromagnetic third-nearest-neighbor interaction…

统计力学 · 物理学 2008-12-04 Ryo Tamura , Naoki Kawashima

We study phase transition behavior of the Heisenberg model on a distorted triangular lattice with competing interactions. The ground-state phase diagram indicates that underlying symmetry can be changed by tuning parameters. We focus on two…

统计力学 · 物理学 2013-07-16 Ryo Tamura , Shu Tanaka , Naoki Kawashima

We investigate the thermodynamic properties of the frustrated bilayer quantum Heisenberg antiferromagnet at low temperatures in the vicinity of the saturation magnetic field. The low-energy degrees of freedom of the spin model are mapped…

强关联电子 · 物理学 2007-05-23 Johannes Richter , Oleg Derzhko , Taras Krokhmalskii

We investigate quantum phase transitions for the $s=1/2$ antiferromagnetic Heisenberg model on a pyrochlore lattice. By means of a series expansion starting from isolated tetrahedra, the ground-state phase diagram is determined. When the…

强关联电子 · 物理学 2009-10-31 Akihisa Koga , Norio Kawakami

Simulating low-temperature properties of three-dimensional frustrated quantum magnets is challenging due to the sign problem and the system sizes required to mitigate substantial finite-size effects. However, there are many experimental…

强关联电子 · 物理学 2026-02-11 Rajah P. Nutakki , Filippo Vicentini

We report magnetocaloric and magnetic-torque evidence that in Cs$_{2}$CuBr$_{4}$ -- a geometrically frustrated Heisenberg $S=1/2$ triangular-lattice antiferromagnet -- quantum fluctuations stabilize a series of spin states at simple…

强关联电子 · 物理学 2015-05-13 N. A. Fortune , S. T. Hannahs , Y. Yoshida , T. E. Sherline , T. Ono , H. Tanaka , Y. Takano

We introduce a frustrated spin 1/2 Hamiltonian which is an extension of the two dimensional $J_1 - J_2$ Heisenberg model. The ground states of this model are exactly obtained at a first order quantum phase transition between two regions…

强关联电子 · 物理学 2009-11-10 C. D. Batista , S. A. Trugman

The classical Monte Carlo method is used to study the properties of the ground state and phase transitions of the spin-pseudospin model, which describes a two-dimensional Ising magnet with competing charge and spin interactions. This…

统计力学 · 物理学 2021-09-23 D. N. Yasinskaya , V. A. Ulitko , Yu. D. Panov

Ground-state behaviour of the frustrated quantum spin-1/2 two-leg ladder with the Heisenberg intra-rung and Ising inter-rung interactions is examined in detail. The investigated model is transformed to the quantum Ising chain with composite…

统计力学 · 物理学 2012-07-19 Taras Verkholyak , Jozef Strecka

We study the zero-temperature phase diagram and the low-energy excitations of a mixed-spin ($S_1>S_2$) $J_1-J_2$ Heisenberg model defined on a square lattice by using a spin-wave analysis, the coupled cluster method, and the Lanczos…

强关联电子 · 物理学 2009-11-07 N. B. Ivanov , J. Richter , D. J. J. Farnell

Critical behavior of three-dimensional classical frustrated antiferromagnets with a collinear spin ordering and with an additional twofold degeneracy of the ground state is studied. We consider two lattice models, whose continuous limit…

强关联电子 · 物理学 2018-11-06 A. O. Sorokin

The spin-1/2 Heisenberg model on the pyrochlore lattice is an iconic frustrated three-dimensional spin system with a rich phase diagram. Besides hosting several ordered phases, the model is debated to possess a spin-liquid ground state when…

The $J_1$--$J_2$ Heisenberg model is a "canonical" model in the field of quantum magnetism in order to study the interplay between frustration and quantum fluctuations as well as quantum phase transitions driven by frustration. Here we…

强关联电子 · 物理学 2016-06-15 D. J. J. Farnell , O. Götze , J. Richter

Starting from the hypothesis of a second order transition we have studied modifications of the original Heisenberg antiferromagnet on a stacked triangular lattice (STA-model) by the Monte Carlo technique. The change is a local constraint…

统计力学 · 物理学 2009-10-31 D. Loison , K. D. Schotte

In the corner-sharing lattice, magnetic frustration causes macroscopic degeneracy in the ground state, which prevents systems from ordering. However, if the ensemble of the degenerate configuration has some global structure, the system can…

统计力学 · 物理学 2007-09-25 Shu Tanaka , Seiji Miyashita

Making use of infinite projected entangled pair states, we investigate the ground state phase diagram of the nearest-neighbor spin-1 bilinear-biquadratic Heisenberg model on the triangular lattice. In agreement with previous studies, we…

强关联电子 · 物理学 2018-06-28 Ido Niesen , Philippe Corboz
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