ASYMPTOTIC BETHE-ANSATZ SOLUTION OF MULTICOMPONENT QUANTUM-SYSTEMS WITH 1/R2 LONG-RANGE INTERACTION

ASYMPTOTIC BETHE-ANSATZ SOLUTION OF MULTICOMPONENT QUANTUM-SYSTEMS WITH 1/R2 LONG-RANGE INTERACTION
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DOI:
10.1103/physrevb.46.1005
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发表时间:
1992-07-01
期刊:
影响因子:
3.7
通讯作者:
KAWAKAMI, N
KAWAKAMI, N
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
KAWAKAMI, N

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通过将Sutherland方法推广到多组分量子系统,得到了具有1/r2长程相互作用的一维量子系统的渐近Bethe-anomaly解.我们得到了Kuramoto和Yokoyama的超对称t-J模型、SU(nu)Haldane-Shastry模型和多分量t-J模型的解。激发光谱以及批量计算解析。低能量激发的共形特性与Luttinger液体理论进行了讨论。
Asymptotic Bethe-ansatz solutions are obtained for one-dimensional quantum systems with a 1/r2 long-range interaction by generalizing Sutherland's method to multicomponent quantum systems. We obtain the solutions to the supersymmetric t-J model of Kuramoto and Yokoyama, the SU(nu) Haldane-Shastry model, and the multicomponent t-J model. The excitation spectrum as well as bulk quantities are computed analytically. Conformal properties of low-energy excitations are discussed in connection with Luttinger liquid theory.