Full counting statistics in the Haldane-Shastry chain
Jean-Marie St\'ephan, Frank Pollmann
TL;DR
This paper analyzes the full counting statistics of magnetization in the Haldane-Shastry chain, deriving exact formulas and comparing results with Luttinger liquid theory, while also exploring effects of inhomogeneous deformations.
Contribution
It provides exact Pfaffian formulas for FCS in the Haldane-Shastry chain and investigates the impact of inhomogeneous deformations on the system's phase behavior.
Findings
FCS scaling agrees with Luttinger liquid theory
Exact Pfaffian expressions for cumulant generating functions
Inhomogeneous deformations do not induce flow to the random singlet phase
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 chains with uncorrelated bond disorder.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.