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We study the connection between topological order and degeneracy of the singular value spectrum by explicitly solving the two-dimensional dimerized quantum Heisenberg model in the form of tensor product state ansatz. Based on the ground…

强关联电子 · 物理学 2015-07-24 Ching-Yu Huang , Feng-Li Lin

In this paper we present a Monte Carlo study of the critical behavior of the easy axis anisotropic Heisenberg spin model in two dimensions. Based on the partial knowledge of the zeros of the energy probability distribution we determine with…

计算物理 · 物理学 2022-07-26 Gabriel Bruno Garcia de Souza , Bismarck Vaz da Costa

The q-state Potts model on a diamond chain has mathematical significance in analyzing phase transitions and critical behaviors in diverse fields, including statistical physics, condensed matter physics, and materials science. By focusing on…

统计力学 · 物理学 2023-10-30 Yury Panov , Onofre Rojas

We investigate the behavior of the moments of the partially transposed reduced density matrix \rho^{T_2}_A in critical quantum spin chains. Given subsystem A as union of two blocks, this is the (matrix) transposed of \rho_A with respect to…

统计力学 · 物理学 2013-06-17 Vincenzo Alba

The two-dimensional ($2d$) fully frustrated Planar Rotator model on a square lattice has been the subject of a long controversy due to the simultaneous $Z_2$ and $O(2)$ symmetry existing in the model. The $O(2)$ symmetry being responsible…

统计力学 · 物理学 2019-05-01 A. B. Lima , B. V. Costa

We use the stochastic series expansion quantum Monte Carlo method to study the Heisenberg models on the square lattice with strong and weak couplings in the form of three different plaquette arrangements known as checkerboard models…

强关联电子 · 物理学 2019-05-30 Xiaoxue Ran , Nvsen Ma , Dao-Xin Yao

In Phys. Rev. Lett. 84, 4204 (2000) (cond-mat/9905379), Kato et al. presented quantum Monte Carlo results indicating that the critical concentration of random non-magnetic sites in the two-dimensional antiferromagnetic Heisenberg model…

强关联电子 · 物理学 2009-10-31 Anders W. Sandvik

In this work we have used extensive Monte Carlo simulations and finite size scaling theory to study the phase transition in the dipolar Planar Rotator model (dPRM), also known as dipolar XY model. The true long-range character of the…

统计力学 · 物理学 2010-01-13 L. A. S. Mól , B. V. Costa

Motivated by recent progress on field-induced phase transitions in quasi-one-dimensional quantum antiferromagnets, we study the phase diagram of $S=1/2$ antiferromagnetic Heisenberg chains with Ising anisotropic interchain couplings under a…

强关联电子 · 物理学 2020-03-25 Yuchen Fan , Jiahao Yang , Weiqiang Yu , Jianda Wu , Rong Yu

The presence of stable topological defects in a two-dimensional (\textit{d} = 2) liquid crystal model allowing molecular reorientations in three dimensions (\textit{n} = 3) was largely believed to induce defect-mediated…

软凝聚态物质 · 物理学 2018-11-28 B. Kamala Latha , V. S. S. Sastry

We analyse the low temperature properties of a system of classical Heisenberg spins on a hexagonal lattice with Kitaev couplings. For a lattice of 2N sites with periodic boundary conditions, we show that the ground states form an (N+1)…

统计力学 · 物理学 2010-09-14 Samarth Chandra , Kabir Ramola , Deepak Dhar

We use tools from integrability and generalized hydrodynamics to study finite-temperature dynamics in the one-dimensional Hubbard model. First, we examine charge, spin, and energy transport away from half-filling and zero magnetization,…

In quantum statistical mechanics, finite-temperature phase transitions are typically governed by classical field theories. In this context, the role of quantum correlations is unclear: recent contributions have shown how entanglement is…

The entanglement quantum properties of a spin-1/2 Ising-Heisenberg model on a symmetrical diamond chain were analyzed. Due to the separable nature of the Ising-type exchange interactions between neighboring Heisenberg dimers, calculation of…

强关联电子 · 物理学 2012-06-19 N. S. Ananikian , L. N. Ananikyan , L. A. Chakhmakhchyan , Onofre Rojas

One-dimensional systems with short-range interactions cannot exhibit a long-range order at nonzero temperature. However, there are some particular one-dimensional models, such as the Ising-Heisenberg spin models with a variety of lattice…

统计力学 · 物理学 2019-02-20 I. M. Carvalho , J. Torrico , S. M. de Souza , Onofre Rojas , Oleg Derzhko

We study the finite temperature crossovers in the vicinity of a zero temperature quantum phase transition. The universal crossover functions are observables of a continuum quantum field theory. Particular attention is focussed on the high…

凝聚态物理 · 物理学 2008-02-03 Subir Sachdev

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…

统计力学 · 物理学 2015-03-19 Fawaz Hrahsheh , Hatem Barghathi , Thomas Vojta

Progress in describing thermodynamic phase transitions in quantum systems is obtained by noticing that the Gibbs operator $e^{-\beta H}$ for a two-dimensional (2D) lattice system with a Hamiltonian $H$ can be represented by a…

强关联电子 · 物理学 2016-05-18 Piotr Czarnik , Jacek Dziarmaga , Andrzej M. Oleś

We consider the scaling behavior in the critical domain of superconductors at zero external magnetic field. The first part of the paper is concerned with the Ginzburg-Landau model in the zero magnetic field Meissner phase. We discuss the…

超导电性 · 物理学 2009-10-31 C. de Calan , F. S. Nogueira

In this paper, we derive corrections to the subleading logarithmic term of the entanglement entropy in systems with spontaneous broken continuous symmetry. Using quantum Monte Carlo simulations, we show that the improved scaling formula…

强关联电子 · 物理学 2023-10-16 Zehui Deng , Lu Liu , Wenan Guo , H. Q. Lin