Chirally stabilized critical state in marginally coupled spin and doped systems

被引:8
作者
Azaria, P
Lecheminant, P
机构
[1] Univ Paris 06, Phys Theor Liquides Lab, F-75252 Paris, France
[2] Univ Cergy Pontoise, Lab Phys Theor & Modelisat, F-95301 Cergy Pontoise, France
关键词
D O I
10.1016/S0550-3213(00)00115-2
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We study a class of one-dimensional models consisting of a frustrated (N + 1)-leg spin ladder, its asymmetric doped version as a special example of a Luttinger Liquid in an active environment, and the N-channel Kondo-Heisenberg model away from half-filling. It is shown that these models exhibit a critical phase with generally a non-integer central charge and belong to the class of chirally stabilized spin liquids recently introduced by Andrei, Douglas, and Jerez [Phys. Rev. B 58 (1998) 7619], By allowing anisotropic interactions in spin space, an exact solution in the N = 2 case is found at a Toulouse point which captures all universal properties of the models. At the critical point, the massless degrees of freedom are described in terms of an effective S = 1/2 Heisenberg spin chain and two critical Ising models. The Toulouse limit solution enables us to discuss the spectral properties, the computation of the spin-spin correlation functions as well as the estimation of the NMR relaxation rate of the frustrated three-leg ladder. Finally, it is shown that the critical point becomes unstable upon switching on some weak backscattering perturbations in the frustrated three-leg ladder. (C) 2000 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:439 / 484
页数:46
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