Phase diagram and continuous pair-unbinding transition of the bilinear-biquadratic S=1 Heisenberg chain in a magnetic field

Salvatore R. Manmana, Andreas M. Läuchli, Fabian H. L. Essler, and Frédéric Mila
Phys. Rev. B 83, 184433 – Published 31 May 2011

Abstract

We investigate the properties of the Heisenberg S=1 chain with bilinear and biquadratic interactions in a magnetic field using the density- matrix renormalization-group, Bethe ansatz, and field-theoretical considerations. In a large region of the parameter space, we identify a magnetized ferroquadrupolar Luttinger liquid consisting of a quasicondensate of bound magnon pairs. This liquid undergoes a continuous pair-unbinding transition to a more conventional Luttinger liquid region obtained by polarizing the system above the Haldane gap region. This pair-unbinding transition is shown to be in the Ising universality class on top of a Luttinger liquid, leading to an effective central charge 3/2. We also revisit the nature of the partially polarized Luttinger liquid around and above the Uimin-Lai-Sutherland point. Our results confirm that this is a two-component liquid and rule out the formation of a single-component vector-chiral phase.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
8 More
  • Received 20 December 2010

DOI:https://doi.org/10.1103/PhysRevB.83.184433

©2011 American Physical Society

Authors & Affiliations

Salvatore R. Manmana1,*, Andreas M. Läuchli2, Fabian H. L. Essler3, and Frédéric Mila1

  • 1Institut de Théorie des Phénomènes Physiques, EPF Lausanne, CH-1015 Lausanne, Switzerland
  • 2Max-Planck Institut für Physik Komplexer Systeme, Nöthnitzer Straße 38, D-01187 Dresden, Germany
  • 3The Rudolf Peierls Centre for Theoretical Physics, Oxford University, Oxford OX1 3NP, United Kingdom

  • *Present address: JILA (University of Colorado and NIST), and Department of Physics, CU Boulder, CO 80309-0440, USA.

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 83, Iss. 18 — 1 May 2011

Reuse & Permissions
Access Options
CHORUS

Article Available via CHORUS

Download Accepted Manuscript
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review B

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×