Full counting statistics in the Haldane-Shastry chain

Jean Marie Stéphan, Frank Pollmann

Research output: Contribution to journalArticlepeer-review

32 Scopus citations

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.

Original languageEnglish
Article number035119
JournalPhysical Review B
Volume95
Issue number3
DOIs
StatePublished - 13 Jan 2017
Externally publishedYes

Fingerprint

Dive into the research topics of 'Full counting statistics in the Haldane-Shastry chain'. Together they form a unique fingerprint.

Cite this