Full counting statistics in the Haldane-Shastry chain

Abstract

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.

15 pages, 7 figures

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Cited by in corpus (3)

• Full counting statistics in the spin-1/2 Heisenberg XXZ chain
• Full counting statistics of the subsystem energy in the free fermions and the quantum spin chains
• Exact full counting statistics for the staggered magnetization and the domain walls in the XY spin chain