Effects of a magnetic field on the one-dimensional spin-orbital model

Yu-Li Lee, Yu Wen Lee

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

We study the effects of a uniform magnetic field on the one-dimensional spin-orbital model in terms of effective field theories. Two regions are examined: one around the SU(4) point (Formula presented) and the other with (Formula presented) [see Eq. (1)]. We found that when (Formula presented) the spin and orbital correlation functions exhibit power-law decay with nonuniversal exponents. In the region with (Formula presented) the excitation spectrum has a gap but the structure of it changes at different range of the ratio (Formula presented) Furthermore, near the SU(4) point, the magnetic field exerts a great influence on the spectrum of the (Formula presented) sector. When the magnetic field is beyond some critical value, a quantum phase transition occurs. The different structure of the excitation spectrum results in distinct critical behavior of correlation functions around the SU(4) point and the region with (Formula presented) Especially, the exponents in the latter case are universal.

Original languageEnglish
Pages (from-to)6765-6774
Number of pages10
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume61
Issue number10
DOIs
Publication statusPublished - 2000 Jan 1

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Magnetic fields
orbitals
magnetic fields
Phase transitions
exponents
excitation
sectors
decay

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

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abstract = "We study the effects of a uniform magnetic field on the one-dimensional spin-orbital model in terms of effective field theories. Two regions are examined: one around the SU(4) point (Formula presented) and the other with (Formula presented) [see Eq. (1)]. We found that when (Formula presented) the spin and orbital correlation functions exhibit power-law decay with nonuniversal exponents. In the region with (Formula presented) the excitation spectrum has a gap but the structure of it changes at different range of the ratio (Formula presented) Furthermore, near the SU(4) point, the magnetic field exerts a great influence on the spectrum of the (Formula presented) sector. When the magnetic field is beyond some critical value, a quantum phase transition occurs. The different structure of the excitation spectrum results in distinct critical behavior of correlation functions around the SU(4) point and the region with (Formula presented) Especially, the exponents in the latter case are universal.",
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Effects of a magnetic field on the one-dimensional spin-orbital model. / Lee, Yu-Li; Lee, Yu Wen.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 61, No. 10, 01.01.2000, p. 6765-6774.

Research output: Contribution to journalArticle

TY - JOUR

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