Download XXZ Chain Correlation Functions PDF for Free from the given download link at the bottom of this post. We are pleased to offer a free PDF download of XXZ Chain Correlation Functions to our readers. Our study focuses on the XXZ spin chain with diagonal boundary conditions, utilizing the algebraic Bethe ansatz.
By explicitly computing the scalar products of Bethe states and using a revised version of the bulk quantum inverse problem, we determine the elementary building blocks for the correlation functions. In the limit of a half-infinite chain, these blocks are expressed as multiple integrals of standard functions, similar to the periodic boundary condition case. Our research provides concise multiple integral formulas for various physical spin correlation functions in the semi-infinite XXZ chain with a longitudinal boundary magnetic field.
XXZ Chain Correlation Functions PDF
In our recent work, we have obtained compact multiple integral formulas for various physical spin correlation functions in the semi-infinite XXZ chain, where a longitudinal boundary magnetic field is present. Our formulae are the result of several effective resummations of the multiple integral representations for the elementary blocks derived in our earlier paper (I).
Additionally, we have calculated the local magnetization and density of energy profiles in the free fermion point. These quantities display Friedel-type oscillations due to the presence of the boundary, and their amplitudes are dependent on the boundary magnetic field, decaying algebraically with the distance from the boundary. These findings provide valuable insights into the behavior of spin chains under external magnetic fields and boundary conditions.
XXZ Chain Correlation Functions PDF Overview
Data | Details |
---|---|
File Name | XXZ Chain Correlation Functions PDF |
File Type | |
File Size | 403 KB |
PDF Quality | Excellent |
No. of Pages | 39 |
Category | Miscellaneous PDF |
Language | English |
Publication | ResearchGate |
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