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A two-leg quenched random bond disordered antiferromagnetic spin$-1/2$ Heisenberg ladder system is investigated by means of stochastic series expansion (SSE) quantum Monte Carlo (QMC) method. Thermal properties of the uniform and staggered…

Strongly Correlated Electrons · Physics 2020-10-28 Ulvi Kanbur , Hamza Polat , Erol Vatansever

We study the spin-1/2 trellis lattice Heisenberg model, a coupled spin ladder system, both by perturbation around the dimer limit and by quantum Monte Carlo simulations. We discuss the influence of the inter-ladder coupling on the spin gap…

Strongly Correlated Electrons · Physics 2010-11-17 Shin Miyahara , Matthias Troyer , David C. Johnston , Kazuo Ueda

The critical properties of the $S=1/2$ Heisenberg two-leg ladders are investigated in a magnetic field. Combining the exact diagonalization method and the finite-size-scaling analysis based on conformal field theory, we calculate the…

Strongly Correlated Electrons · Physics 2009-10-31 M. Usami , S. Suga

We consider a special correlation function in the isotropic spin-$\half$ Heisenberg antiferromagnet. It is the probability of finding a ferromagnetic string of (adjacent) spins in the antiferromagnetic ground state. We give two different…

Condensed Matter · Physics 2009-10-22 Vladimir E. Korepin , Anatoli G. Izergin , Fabian H. L. Essler , Denis B. Uglov

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

Quantum Monte Carlo method is used to study the coupled spin-pseudospin Hamiltonian in one-dimension (1D) that models the charge-ordering instability of the anisotropic Hubbard ladder at quarter filling. We calculate the temperature…

Strongly Correlated Electrons · Physics 2007-05-23 T. Nakaegawa , Y. Ohta

We investigate an $S=1/2$ two-leg spin ladder with a cyclic four-spin exchange interaction whose interaction constant is denoted by $J_4$, by using the density matrix renormalization group method. The interchain and the intrachain…

Statistical Mechanics · Physics 2007-05-23 Yasushi Honda , Tsuyoshi Horiguchi

The nature of quantum spin liquids is studied for the spin-$1/2$ antiferromagnetic Heisenberg model on a square lattice containing exchange interactions between nearest-neighbor sites, $J_1$, and those between next-nearest-neighbor sites,…

Strongly Correlated Electrons · Physics 2015-02-02 Satoshi Morita , Ryui Kaneko , Masatoshi Imada

We develop a low-energy effective theory for spin-1/2 frustrated two-leg Heisenberg spin ladders. We obtain a new type of interchain coupling that breaks parity symmetry. In the presence of an XXZ-type anisotropy, this interaction gives…

Strongly Correlated Electrons · Physics 2009-10-31 Alexander A. Nersesyan , Alexander O. Gogolin , Fabian H. L. Essler

We study the effect of inter-ladder ferromagnetic (FM) coupling in spin-1/2 two-leg ladders with antiferromagnetic (AFM) legs and rungs interactions using the stochastic series expansion quantum Monte Carlo. We have compared the results…

Strongly Correlated Electrons · Physics 2015-06-23 J. Jahangiri , H. Hadipour , S. Mahdavifar , S. Farjami

We report a neutron scattering study of the spin correlations for the spin 5/2, two-dimensional antiferromagnet Rb_2MnF_4 in an external magnetic field. Choosing fields near the system's bicritical point, we tune the effective anisotropy in…

Strongly Correlated Electrons · Physics 2009-10-31 R. L. Leheny , R. J. Christianson , R. J. Birgeneau , R. W. Erwin

We report a neutron scattering study of the instantaneous spin correlations in the two-dimensional spin S=5/2 square-lattice Heisenberg antiferromagnet Rb_2MnF_4. The measured correlation lengths are quantitatively described, with no…

Strongly Correlated Electrons · Physics 2009-10-31 Y. S. Lee , M. Greven , B. O. Wells , R. J. Birgeneau , G. Shirane

We present an analytical result for the ratio of the physical correlation length in a 2D Heisenberg antiferromagnet on a square lattice, and the one which is actually computed in numerical simulations. This last correlation length is…

Strongly Correlated Electrons · Physics 2007-05-23 Andrey V. Chubukov , Oleg A. Starykh

We present an analysis of high precision Monte Carlo data for the two dimensional S=1/2 quantum Heisenberg antiferromagnet up to $\xi = 95.7(3)$ obtained by the continuous time version of the loop algorithm. Our data are in good agreement…

Statistical Mechanics · Physics 2008-02-03 Jae-Kwon Kim , D. P. Landau , Matthias Troyer

Specific heat ($C_V$) measurements in the spin-1/2 Cu$_2$(C$_2$H$_{12}$N$_2$)$_2$Cl$_4$ system under a magnetic field up to $H=8.25 T$ are reported and compared to the results of numerical calculations based on the 2-leg antiferromagnetic…

Strongly Correlated Electrons · Physics 2009-10-31 R. Calemczuk , J. Riera , D. Poilblanc , J. -P. Boucher , G. Chaboussant , L. Levy , O. Piovesana

The $S=1/2$ Heisenberg antiferromagnet in the ladder geometry is studied as a model for the spin degrees of freedom of SrCu$_2$O$_3$. The susceptibility and the spin echo decay rate are calculated using a quantum Monte Carlo technique, and…

Condensed Matter · Physics 2009-10-28 A. W. Sandvik , E. Dagotto , D. J. Scalapino

A s=1/2 antiferromagnetic spin chain is equivalent to the two-flavor massless Schwinger model in an uniform background charge density in the strong coupling. The gapless mode of the spin chain is represented by a massless boson of the…

Statistical Mechanics · Physics 2009-10-30 Yutaka Hosotani

An S=1/2 anti-ferromagnetic spin chain is mapped to the two-flavor massless Schwinger model, which admits a gapless mode. In a spin ladder system rung interactions break the chiral invariance. These systems are solved by bosonization. If…

Statistical Mechanics · Physics 2008-02-03 Yutaka Hosotani

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

The quantitative description of long-range order remains a challenge in quantum many-body physics. We provide zero-temperature results from two complementary methods for the ground-state energy per site, the sublattice magnetization, the…

Strongly Correlated Electrons · Physics 2025-10-24 Nils Caci , Dag-Björn Hering , Matthias R. Walther , Kai P. Schmidt , Stefan Wessel , Götz S. Uhrig