Science-advisor
REGISTER info/FAQ
Login
username
password
     
forgot password?
register here
 
Research articles
  search articles
  reviews guidelines
  reviews
  articles index
My Pages
my alerts
  my messages
  my reviews
  my favorites
 
 
Stat
Members: 3643
Articles: 2'487'895
Articles rated: 2609

28 March 2024
 
  » arxiv » 1901.5878

 Article overview


Analytical results on the Heisenberg spin chain in a magnetic field
Etienne Granet ; Jesper Lykke Jacobsen ; Hubert Saleur ;
Date 17 Jan 2019
AbstractWe obtain the ground state magnetization of the Heisenberg and XXZ spin chains in a magnetic field $h$ as a series in $sqrt{h_c-h}$, where $h_c$ is the smallest field for which the ground state is fully polarized. All the coefficients of the series can be computed in closed form through a recurrence formula that involves only algebraic manipulations. The radius of convergence of the series in the full range $0<hleq h_c$ is studied numerically.
To that end we express the free energy at mean magnetization per site $-1/2leq langle sigma^z_i angleleq 1/2$ as a series in $1/2-langle sigma^z_i angle$ whose coefficients can be similarly recursively computed in closed form. This series converges for all $0leq langle sigma^z_i angleleq 1/2$. The recurrence is nothing but the Bethe equations when their roots are written as a double series in their corresponding Bethe number and in $1/2-langle sigma^z_i angle$. It can also be used to derive the corrections in finite size, that correspond to the spectrum of a free compactified boson whose radius can be expanded as a similar series.
The method presumably applies to a large class of models: it also successfully applies to a case where the Bethe roots lie on a curve in the complex plane.
Source arXiv, 1901.5878
Services Forum | Review | PDF | Favorites   
 
Visitor rating: did you like this article? no 1   2   3   4   5   yes

No review found.
 Did you like this article?

This article or document is ...
important:
of broad interest:
readable:
new:
correct:
Global appreciation:

  Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.

browser claudebot






ScienXe.org
» my Online CV
» Free


News, job offers and information for researchers and scientists:
home  |  contact  |  terms of use  |  sitemap
Copyright © 2005-2024 - Scimetrica