Instability of interfaces in the antiferromagnetic XXZ chain at zero temperature

Nilanjana Datta, Thomas G Kennedy

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

For the antiferromagnetic, highly anisotropic XZ and XXZ quantum spin chains, we impose periodic boundary conditions on chains with an odd number of sites to force an interface (or kink) into the chain. We prove that the energy of the interface depends on the momentum of the state. This shows that at zero temperature the interface in such chains is not stable. This is in contrast to the ferromagnetic XXZ chain for which the existence of localized interface ground states has been proven for any amount of anisotropy in the Ising-like regime.

Original languageEnglish (US)
Pages (from-to)477-511
Number of pages35
JournalCommunications in Mathematical Physics
Volume236
Issue number3
DOIs
StatePublished - Jun 2003

Fingerprint

Zero
Quantum Spin Chain
temperature
Odd number
Kink
Periodic Boundary Conditions
Ising
Ground State
Anisotropy
Momentum
boundary conditions
momentum
Energy
anisotropy
ground state
energy

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Instability of interfaces in the antiferromagnetic XXZ chain at zero temperature. / Datta, Nilanjana; Kennedy, Thomas G.

In: Communications in Mathematical Physics, Vol. 236, No. 3, 06.2003, p. 477-511.

Research output: Contribution to journalArticle

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