Full counting statistics in the Haldane-Shastry chain

Article

关键词: ANTIFERROMAGNETIC HEISENBERG CHAIN;    BLOCK TOEPLITZ MATRICES;    RESONATING-VALENCE-BOND;    MANY-BODY PROBLEM;    ONE-DIMENSION;    GROUND-STATE;    ASYMPTOTIC-BEHAVIOR;    CRITICAL-POINT;    SPIN MODELS;    COULOMB GAS;   

DOI  :  10.1103/PhysRevB.95.035119

来源: SCIE

【 摘 要 】

We present analytical and numerical results regarding the magnetization full counting statistics (FCS) of a subsystem in the ground state of the Haldane-Shastry chain. Exact Pfaffian expressions are derived for the cumulant generating function, as well as any observable diagonal in the spin basis. In the limit of large systems, the scaling of the FCS is found to be in agreement with the Luttinger liquid theory. The same techniques are also applied to inhomogeneous deformations of the chain. This introduces a certain amount of disorder in the system; however we show numerically that this is not sufficient to flow to the random singlet phase, that corresponds to XXZ chains with uncorrelated bond disorder.

【 授权许可】

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