Boundary energy of the open XXX chain with a non-diagonal boundary term

Rafael I. Nepomechie, Chunguang Wang

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

We analyze the ground state of the open spin-1/2 isotropic quantum spin chain with a non-diagonal boundary term using a recently proposed Bethe ansatz solution. As the coefficient of the non-diagonal boundary term tends to zero, the Bethe roots split evenly into two sets: those that remain finite, and those that become infinite. We argue that the former satisfy conventional Bethe equations, while the latter satisfy a generalization of the Richardson-Gaudin equations. We derive an expression for the leading correction to the boundary energy in terms of the boundary parameters.

Original languageEnglish (US)
Article number032001
JournalJournal of Physics A: Mathematical and Theoretical
Volume47
Issue number3
DOIs
StatePublished - Jan 24 2014

Keywords

  • Bethe ansatz
  • Richardson-Gaudin model
  • boundary (surface) energy
  • integrable boundary conditions
  • integrable quantum spin chain

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modeling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

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