Ising model description of the SU(2)1 quantum critical point in a dimerized two-leg spin-1/2 ladder

Wang, Y.-J.; Nersesyan, A. A.

doi:10.1016/s0550-3213(00)00305-9

Cited by 23 publications

(39 citation statements)

References 36 publications

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“…͑1͔͒. Our phase boundary is consistent with that predicted by Martín-Delgado, Shankar, and Sierra, 2 and also by Wang and Nersesyan, 5 but not with that by Cabra and Grynberg. 10,11 We believe that our work gives the definite conclusion on the phase boundary form of the present model.…”

Section: Numerical Analysissupporting

confidence: 90%

Phase diagram of theS=12two-leg spin ladder with staggered bond alternation

Okamoto

2003

Phys. Rev. B

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The ground state of the Sϭ1/2 two-leg ladder with the staggered bond alternations is investigated. We have determined the precise phase diagram on the ␦-JЈ plane (␦ and JЈ are the magnitudes of the bond alternation and the rung interaction, respectively͒, employing the level spectroscopic analysis of the numerical diagonalization data obtained by the Lanczos algorithm with the twisted boundary condition. The phase boundary between the leg-dimer state and the rung-dimer state near (␦,JЈ)ϭ(0,0) is of the form JЈϰ␦ 0.69 , which is consistent with the prediction JЈϰ␦ 2/3 by Martín-Delgado, Duleksky, and Sierra, and also by Wang and Nersesyan, but not with JЈϰ␦ 2 by Cabra and Grynberg.

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Section: Numerical Analysissupporting

confidence: 90%

Phase diagram of theS=12two-leg spin ladder with staggered bond alternation

Okamoto

2003

Phys. Rev. B

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“…Later, a series of different approximate analytical studies [12], [13] have been favorable for the existence of a critical line in the simplest case of a 2-leg spin ladder with staggered dimerization. Also, some preliminary numerical methods with the Lanczos algorithm [14], [15] have shown support for this fact for ladders with small size.…”

Section: Introductionmentioning

confidence: 99%

Critical lines and massive phases in quantum spin ladders with dimerization

Almeida¹,

Martín-Delgado²,

Sierra³

2008

Phys. Rev. B

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We determine the existence of critical lines in dimerized quantum spin ladders in their phase diagram of coupling constants using the finite-size DMRG algorithm. We consider both staggered and columnar dimerization patterns, and antiferromagnetic and ferromagnetic inter-leg couplings. The existence of critical phases depends on the precise combination of these patterns. The nature of the massive phases separating the critical lines are characterized with generalized string order parameters that determine their valence bond solid (VBS) content.

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“…The emergence of a non-trivial criticality in a conformal field theory (CFT) perturbed by several competing relevant operators has attracted much interest in recent years in the context of twodimensional statistical mechanics or one-dimensional quantum systems [1,2,3,4]. When acting * Electronic address: Philippe.Lecheminant@ptm.u-cergy.fr separately, each perturbation yields a massive field theory, but the interplay between them may give rise to a second-order phase transition at intermediate coupling.…”

Section: Introductionmentioning

confidence: 99%

Criticality in self-dual sine-Gordon models

2002

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We discuss the nature of criticality in the β 2 = 2πN self-dual extention of the sine-Gordon model. This field theory is related to the two-dimensional classical XY model with a N-fold degenerate symmetry-breaking field. We briefly overview the already studied cases N = 2, 4and analyze in detail the case N = 3 where a single phase transition in the three-state Potts universality class is expected to occur. The Z 3 infrared critical properties of the β 2 = 6π self-dual sine-Gordon model are derived using two non-perturbative approaches. On one hand, we map the model onto an integrable deformation of the Z 4 parafermion theory. The latter is known to flow to a massless Z 3 infrared fixed point. Another route is based on the connection with a chirally asymmetric, su(2) 4 ⊗ su(2) 1 Wess-Zumino-Novikov-Witten model with anisotropic current-current interaction, where we explore the existence of a decoupling (Toulouse) point.

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Ising model description of the SU(2)1 quantum critical point in a dimerized two-leg spin-1/2 ladder

Cited by 23 publications

References 36 publications

Phase diagram of theS=12two-leg spin ladder with staggered bond alternation

Phase diagram of theS=12two-leg spin ladder with staggered bond alternation

Critical lines and massive phases in quantum spin ladders with dimerization

Criticality in self-dual sine-Gordon models

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