Quantum phase transition in the frustrated Heisenberg antiferromagnet

Dotsenko, A. V.; Sushkov, O. P.

doi:10.1103/physrevb.50.13821

Cited by 53 publications

(49 citation statements)

References 64 publications

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“…3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21 For the square lattice with nearest neighbor (NN) exchange interaction only, the ground state is antiferromagnetically ordered at zero temperature. Addition of next nearest neighbor (NNN) interactions break the AF order.…”

Section: Introductionmentioning

confidence: 99%

Non-linear spin wave theory results for the frustrated S=\frac {1}{2} Heisenberg antiferromagnet on a body-centered cubic lattice

Majumdar

Datta

2009

J. Phys.: Condens. Matter

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At zero temperature the sublattice magnetization of the quantum spin-1/2 Heisenberg antiferromagnet on a body-centered cubic lattice with competing first and second neighbor exchange (J1 and J2) is investigated using the non-linear spin wave theory. The zero temperature phases of the model consist of a two sublattice Néel phase for small J2 (AF1) and a collinear phase at large J2 (AF2). We show that quartic corrections due to spin-wave interactions enhance the sublattice magnetization in both the AF1 and the AF2 phase. The magnetization corrections are prominent near the classical transition point of the model and in the J2 > J1 regime. The ground state energy with quartic interactions is also calculated. It is found that up to quartic corrections the first order phase transition (previously observed in this model) between the AF1 and the AF2 phase survives.

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Section: Introductionmentioning

confidence: 99%

Non-linear spin wave theory results for the frustrated S=\frac {1}{2} Heisenberg antiferromagnet on a body-centered cubic lattice

Majumdar

Datta

2009

J. Phys.: Condens. Matter

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“…In both cases the Néel ordered state gets perturbed, and one observes a disordering transition when the perturbation becomes sufficiently large. 9,10 The simplest frustrated Heisenberg antiferromagnet in ͑2ϩ1͒ dimensions is the J 1 ϪJ 2 model defined on a square lattice by…”

Section: Introductionmentioning

confidence: 99%

Monte Carlo study of O(3) antiferromagnetic models in three dimensions

et al. 1996

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We study three antiferromagnetic formulations of the O͑3͒ spin model in three dimensions by means of Monte Carlo simulations: ͑1͒ a two parameter model with nearest-and next-nearest neighbors couplings in a cubic lattice; ͑2͒ a face-centered-cubic lattice with nearest-neighbor interaction; ͑3͒ a cubic lattice with a set of fully frustrating couplings. We discuss in all cases the vacua properties and analyze the phase transitions. Using finite-size scaling analysis we conclude that all phase transitions found are of first order.

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“…In essence, the constraint equation (57) introduces an effective cut-off for unphysical states [80]. To see this, let us consider the S = 1 2 system.…”

Section: Modified Spin Wave Theoriesmentioning

confidence: 99%

Spin wave analysis of heisenberg magnets in restricted geometries

Ivanov

Sen

2004

Quantum Magnetism

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Summary. In the last decade it has been proven that the standard spin-wave theory was able to provide accurate zero-temperature results for a number of lowdimensional Heisenberg spin systems. In this chapter we introduce the main ingredients of the spin-wave technique using as a working model the two-leg mixed-spin ferrimagnetic ladder and the Dyson-Maleev boson formalism up to second order in the spin-wave interaction. In the remainder, we survey typical applications in lowspace dimensionality as well as some recent modifications of the theory admitting a quantitative analysis in magnetically disordered phases. The presented spin-wave results are compared with available numerical estimates.

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Quantum phase transition in the frustrated Heisenberg antiferromagnet

Abstract: Using the J 1 -J 2 model, we present a description of quantum phase transition from Néel ordered to the spin-liquid state based on the modified spin wave theory. The general expression for the gap in the spectrum in the spin-liquid phase is given.

Cited by 53 publications

References 64 publications

Non-linear spin wave theory results for the frustrated S=\frac {1}{2} Heisenberg antiferromagnet on a body-centered cubic lattice

Non-linear spin wave theory results for the frustrated S=\frac {1}{2} Heisenberg antiferromagnet on a body-centered cubic lattice

Monte Carlo study of O(3) antiferromagnetic models in three dimensions

Spin wave analysis of heisenberg magnets in restricted geometries

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