Magnetization Curves of Antiferromagnetic Heisenberg Spin-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:mfrac></mml:math>Ladders

Cabra, D. C.; Honecker, A.; Pujol, Pierre

doi:10.1103/physrevlett.79.5126

Cited by 174 publications

(265 citation statements)

References 26 publications

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“…The chains are weakly coupled by H ′ = J ′ <i,j> S i · S j with 0 < J ′ ≪ J. The phase diagram of H 1D can be obtained from a numerical solution of the Bethe ansatz equations [12,13], and is shown in Fig. 1.…”

Section: Spin-1/heisenberg Chainsmentioning

confidence: 99%

Three-dimensional ordering in weakly coupled antiferromagnetic ladders and chains

Wessel

Haas

2000

Phys. Rev. B

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A theoretical description is presented for low-temperature magnetic-field induced threedimensional (3D) ordering transitions in strongly anisotropic quantum antiferromagnets, consisting of weakly coupled antiferromagnetic spin-1/2 chains and ladders. First, effective continuum field theories are derived for the one-dimensional subsystems. Then the Luttinger parameters, which determine the low-temperature susceptibilities of the chains and ladders, are calculated from the Bethe ansatz solution for these effective models. The 3D ordering transition line is obtained using a random phase approximation for the weak inter-chain (inter-ladder) coupling. Finally, considering a Ginzburg criterion, the fluctuation corrections to this approach are shown to be small. The nature of the 3D ordered phase resembles a Bose condensate of integer-spin magnons. It is proposed that for systems with higher spin degrees of freedom, e.g. N-leg spin-1/2 ladders, multi-component condensates can occur at high magnetic fields.

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Section: Spin-1/heisenberg Chainsmentioning

confidence: 99%

Three-dimensional ordering in weakly coupled antiferromagnetic ladders and chains

Wessel

Haas

2000

Phys. Rev. B

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“…The present paper is motivated by the recent highfield magnetization measurements 15 in the double-chain S = 1 2 compound NH 4 CuCl 3 which have revealed wellpronounced plateaus at M = 1 4 and M = 3 4 in the temperature range T < 1.5 K. At room temperature, the crystal structure of this material coincides with that of KCuCl 3 , and the main feature is presence of the double chains of edge-sharing CuCl 6 of saturation means that due to a certain rather complicated spontaneous symmetry breaking the magnetic elementary cell contains Q = 8 Cu 2+ ions instead of Q = 2 as suggested by the Hamiltonian symmetry; still, then absence of plateau at M = 1 2 which is characteristic for a single chain 9 is puzzling.…”

Section: Introductionmentioning

confidence: 99%

“…[1][2][3][4][5][6][7][8][9][10][11][12][13][14] In a variety of models, the magnetization per site m z as a function of the applied magnetic field H exhibits plateaus at certain values of m z ; at those plateaus the magnetization in units of the saturation M = m z /S (here S is the spin of a magnetic ion) is "locked" at some rational number (at least, up to now no indications of the possibility to have plateaus at irrational M were found). Oshikawa et al 4 have shown that in purely one-dimensional systems the allowed values of M , at which the plateaus are possible, are given by the following condition…”

Section: Introductionmentioning

confidence: 99%

Magnetization plateaus in weakly coupled dimer spin system

Kolezhuk

1999

Phys. Rev. B

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I study a spin system consisting of strongly coupled dimers which are in turn weakly coupled in a plane by zigzag interactions. The model can be viewed as the strong-coupling limit of a two-dimensional zigzag chain structure typical, e.g., for the $(ac)$-planes of KCuCl_3. It is shown that the magnetization curve in this model has plateaus at 1/3 and 2/3 of the saturation magnetization, and an additional plateau at 1/2 can appear in a certain range of the model parameters; the critical fields are calculated perturbatively. It is argued that for the three-dimensional lattice structure of the KCuCl_3 family the plateaus at 1/4 and 3/4 of the saturation can be favored in a similar way, which might be relevant to the recent experiments on NH_4CuCl_3 by Shiramura et al., J. Phys. Soc. Jpn. {\bf 67}, 1548 (1998).Comment: serious changes in Sect. II,III, final version to appear in PR

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“…, q − 1. This corresponds to a q−fold degenerate ground state resulting from the breaking of the discrete translation symmetry, in direct analogy with Mott systems 15 or spin systems 18,19 . The corresponding expectation value of j ⊥ (x) is:…”

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confidence: 99%

Meissner effect in a bosonic ladder

2001

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We investigate the effect of a magnetic field on a bosonic ladder. We show that such a system leads to the one dimensional equivalent of a vortex lattice in a superconductor. We investigate the physical properties of the vortex phase, such as vortex density and vortex correlation functions and show that magnetization has plateaus for some commensurate values of the magnetic field. The lowest plateau corresponds to a true Meissner to vortex transition at a critical field Hc1 that exists although the system has no long range superconducting order. Implications for experimental realizations such as Josephson junction arrays are discussed.PACS numbers: 05.30. Jp, 71.10.Pm, 74.50.+r The effect of a magnetic field on interacting particles is a long standing problem. A spectacular case is provided by type II superconductor, in which the magnetic field is totally expelled below H c1 , whereas a vortex state exists for H > H c1 . This behavior, however, is obtained from the Landau-Ginzburg equation, and it is important to know what happens when interactions and fluctuations have more drastic effects, such as in one dimensional systems. Indeed, in a one dimensional conductor at T = 0, although there is no long range order, superconductivity in the sense of infinite d.c. conductivity can nevertheless be present 1 . For a one dimensional chain, there is no orbital effect, and this question is not relevant. However, a system made of a finite number of coupled chains (a ladder), is still one dimensional (no long range order can exist) but orbital effect of the magnetic field is present, opening the possibility of such a transition.Beyond its own theoretical interest the investigation of the effect of a magnetic field on ladder systems is also of direct experimental relevance, due to the various realizations of such ladders 2,3,4 . Fermionic ladders can be superconducting both from attractive (s-wave) and repulsive interactions (d-wave). In the attractive case, the system is close to standard superconductors where pairs of fermions can hop from one chain to the other leading to a Josephson coupling, provided the applied magnetic field is smaller that the spin gap. The system can thus be described as a bosonic ladder. Josephson junction arrays 5,6 provide also a very direct realization of such a bosonic ladder 7,8 and are thus the prime candidates to observe these effects. This problem of Josephson ladders has been investigated previously in the classical 9 and quantum limit both analytically 10,11 and numerically 12 in the high field limit of half a flux quantum per plaquette for one dimensional situations. For the Josephson two leg ladder, it has been shown 10,11 that a true transition exists between a commensurate and a vortex phase, however the detailed behavior of the vortex phase and the effects of commensurability of the magnetic field remain to be understood.In this paper we investigate the effect of a magnetic field directly on the bosonic two leg ladder. We study the Meissner-vortex transition in this system, and t...

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Magnetization Curves of Antiferromagnetic Heisenberg Spin-12Ladders

Cited by 174 publications

References 26 publications

Three-dimensional ordering in weakly coupled antiferromagnetic ladders and chains

Three-dimensional ordering in weakly coupled antiferromagnetic ladders and chains

Magnetization plateaus in weakly coupled dimer spin system

Meissner effect in a bosonic ladder

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