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The S=1/2 Heisenberg chain with bond alternation and randomness of antiferromagnetic (AFM) and ferromagnetic (FM) interactions is investigated by quantum Monte Carlo simulations of loop/cluster algorithm. Our results have shown interesting…

Disordered Systems and Neural Networks · Physics 2007-05-23 Peng Zhang , Zhaoxin Xu , Heping Ying , Jianhui Dai

Antiferromagnetic Heisenberg spin chains with various spin values ($S=1/2,1,3/2,2,5/2$) are studied numerically with the quantum Monte Carlo method. Effective spin $S$ chains are realized by ferromagnetically coupling $n=2S$…

Strongly Correlated Electrons · Physics 2009-10-30 Y. J. Kim , M. Greven , U. -J. Wiese , R. J. Birgeneau

Using the quantum Monte Carlo Loop algorithm, we calculate the temperature dependence of the uniform susceptibility, the specific heat, the correlation length, the generalized staggered susceptibility and magnetization of a spin-1/2 chain…

Condensed Matter · Physics 2007-05-23 Beat Frischmuth , Manfred Sigrist , Beat Ammon , Matthias Troyer

Using the Continuous Time Quantum Monte Carlo Loop algorithm, we calculate the temperature dependence of the uniform susceptibility, and the specific heat of a spin-1/2 chain with random antiferromagnetic and ferromagnetic couplings, down…

Condensed Matter · Physics 2009-10-30 Beat Frischmuth , Manfred Sigrist

A quantum Monte Carlo method combining update of the loop algorithm with the global flip of the world line is proposed as an efficient method to study the magnetization process in an external field, which has been difficult because of…

Statistical Mechanics · Physics 2009-10-31 Hiroaki Onishi , Masamichi Nishino , Naoki Kawashima , Seiji Miyashita

The continuous imaginary-time quantum Monte Carlo method with the worm update algorithm is applied to explore the ground state properties of the spin-1/2 Heisenberg model with antiferromagnetic (AF) coupling $J>0$ and ferromagnetic (F)…

Strongly Correlated Electrons · Physics 2017-06-07 Yi-Zhen Huang , Gang Su

A Monte Carlo method for finite-temperature studies of the two-dimensional quantum Heisenberg antiferromagnet with random ferromagnetic bonds is presented. The scheme is based on an approximation which allows for an analytic summation over…

Condensed Matter · Physics 2009-10-22 A. Sandvik

The effects of regular S=1 dilution of S=1/2 isotropic antiferromagnetic chain are investigated by the quantum Monte Carlo loop/cluster algorithm. Our numerical results show that there are two kinds of ground-state phases which alternate…

Strongly Correlated Electrons · Physics 2015-06-25 Fengping Jin , Zhaoxin Xu , Heping Ying , Bo Zheng

We study the ground-state phase transitions of quasi-one-dimensional quantum Heisenberg antiferromagnets by the quantum Monte Carlo method with the continuous-time loop algorithm and finite-size scaling. For a model which consists of S=1…

Strongly Correlated Electrons · Physics 2009-04-18 Munehisa Matsumoto , Synge Todo , Chitoshi Yasuda , Hajime Takayama

A large-scale parallel loop cluster quantum Monte Carlo simulation is presented. On 24,576 nodes of the K computer, one loop cluster Monte Carlo update of the world-line configuration of the $S=1/2$ antiferromagnetic Heisenberg chain with…

Strongly Correlated Electrons · Physics 2019-06-26 Synge Todo , Haruhiko Matsuo , Hideyuki Shitara

An $S=1/2$ ferromagnetic (F) - antiferromagnetic (AF) random alternating Heisenberg quantum spin chain model is investigated in connection to its realization compound: (CH$_3$)$_2$CHNH$_3$Cu(Cl$_x$Br$_{1-x}$)$_3$. The exchange interaction…

Disordered Systems and Neural Networks · Physics 2009-11-10 Tota Nakamura

We present a quantum Monte Carlo study of a Heisenberg antiferromagnet on a spatially anisotropic square lattice, where the coupling strength in the x-direction ($J_x$) is different from that in the y-direction ($J_y$). By varying the…

Strongly Correlated Electrons · Physics 2009-10-31 Y. J. Kim , R. J. Birgeneau

For the weakly coupled S=1 antiferromagnetic Heisenberg chains on a simple cubic lattice, the effects of magnetic impurities are investigated by the quantum Monte Carlo method with the continuous-time loop algorithm. The transition…

Strongly Correlated Electrons · Physics 2009-11-10 Munehisa Matsumoto , Hajime Takayama

The classical and the quantum, spin $S=1/2, versions of the uniaxially anisotropic Heisenberg antiferromagnet on a square lattice in a field parallel to the easy axis are studied using Monte Carlo techniques. For the classical version,…

Statistical Mechanics · Physics 2011-11-09 M. Holtschneider , S. Wessel , W. Selke

We study the Heisenberg $S=1/2$ chain with random ferro- and antiferromagnetic couplings using quantum Monte Carlo simulations at ultra-low temperatures, converging to the ground state. Finite-size scaling of correlation functions and…

Strongly Correlated Electrons · Physics 2025-02-26 Sibei Li , Hui Shao , Anders W. Sandvik

We present a new algorithm for quantum Monte Carlo simulation based on global updating with loops. While various theoretical predictions are confirmed in one dimension, we find, for S=1 systems on a square lattice with an antiferromagnetic…

Statistical Mechanics · Physics 2009-10-31 Kenji Harada , Naoki Kawashima

We present a universal quantum Monte Carlo algorithm for simulating arbitrary high-spin (spin greater than 1/2) Hamiltonians, based on the recently developed permutation matrix representation (PMR) framework. Our approach extends a…

Computational Physics · Physics 2026-01-27 Arman Babakhani , Lev Barash , Itay Hen

The effect of bond randomness on the spin-gapped ground state of the spin-1 bond-alternating antiferromagnetic Heisenberg chain is discussed. By using the loop cluster quantum Monte Carlo method, we investigate the stability of topological…

Disordered Systems and Neural Networks · Physics 2007-05-23 Takayuki Arakawa , Synge Todo , Hajime Takayama

Ground-state magnetic properties of the diluted Heisenberg antiferromagnet on a square lattice are investigated by means of the quantum Monte Carlo method with the continuous-time loop algorithm. It is found that the critical concentration…

Disordered Systems and Neural Networks · Physics 2009-10-31 K. Kato , S. Todo , K. Harada , N. Kawashima , S. Miyashita , H. Takayama

The temperature dependence of the correlation length, susceptibilities and the magnetic structure factor of the two-dimensional spin-1 square lattice quantum Heisenberg antiferromagnet are computed by the quantum Monte Carlo loop algorithm…

Statistical Mechanics · Physics 2007-05-23 Kenji Harada , Matthias Troyer , Naoki Kawashima
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