2015
DOI: 10.5488/cmp.18.23002
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Meron-cluster simulation of the quantum antiferromagnetic Heisenberg model in a magnetic field in one- and two-dimensions

Abstract: Motivated by the numerical simulation of systems which display quantum phase transitions, we present a novel application of the meron-cluster algorithm to simulate the quantum antiferromagnetic Heisenberg model coupled to an external uniform magnetic field both in one and in two dimensions. In the infinite volume limit and at zero temperature we found numerical evidence that supports a quantum phase transition very close to the critical values B c = 2 and B c = 4 for the system in one and two dimensions, respe… Show more

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Cited by 10 publications
(12 citation statements)
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“…In order to study the statistical properties of the estimator β, we have performed, as a second independent test, a binning analysis according to the method outlined for instance, in Refs. [21,22], for temperatures T =0.2 and T =0. 7.…”
Section: Binning Analysis and Central Limit Theoremmentioning
confidence: 99%
“…In order to study the statistical properties of the estimator β, we have performed, as a second independent test, a binning analysis according to the method outlined for instance, in Refs. [21,22], for temperatures T =0.2 and T =0. 7.…”
Section: Binning Analysis and Central Limit Theoremmentioning
confidence: 99%
“…As far as one-dimensional systems are concerned, these rather unexpected phenomena have been reported in theoretical analyses [1][2][3][4][5][6][7] in a variety of settings that include isotropic, axially symmetric, easy-plane anisotropic, and bilinear-biquadratic antiferromagnetic spin chains with different spins (S = 1 2 , 1, 3 2 ). Experimental studies, referring to quasi-one-dimensional Heisenberg antiferromagnets with integer spin (Haldane systems) and half-integer spin, are Refs.…”
Section: Introductionmentioning
confidence: 99%
“…It should be pointed out that the path we pursue here -based on the systematic effective Lagrangian method -is not the conventional choice to address antiferromagnetic systems. Rather, more standard techniques to study antiferromagnetic films are modified spin-wave theory [16][17][18][19][20][21][22][23][24], numerical simulations [25][26][27], exact diagonalization and other approaches [28][29][30][31][32][33][34][35][36][37].…”
Section: Introductionmentioning
confidence: 99%