Double zigzag spin chain in a strong magnetic field close to saturation

Shyiko, I. T., McCulloch, I. P., Gumenjuk-Sichevska, J. V. and Kolezhuk, A. K. (2013) Double zigzag spin chain in a strong magnetic field close to saturation. Physical Review B, 88 1: 014403.1-014403.13. doi:10.1103/PhysRevB.88.014403

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Author Shyiko, I. T.
McCulloch, I. P.
Gumenjuk-Sichevska, J. V.
Kolezhuk, A. K.
Title Double zigzag spin chain in a strong magnetic field close to saturation
Journal name Physical Review B   Check publisher's open access policy
ISSN 1098-0121
1550-235X
1538-4489
Publication date 2013-07-01
Sub-type Article (original research)
DOI 10.1103/PhysRevB.88.014403
Open Access Status File (Publisher version)
Volume 88
Issue 1
Start page 014403.1
End page 014403.13
Total pages 13
Place of publication United States
Publisher American Physical Society
Collection year 2014
Language eng
Formatted abstract
We study the ground state phase diagram of a frustrated spin tube in a strong external magnetic field. This model can be viewed as two coupled zigzag spin chains, or as a two-leg spin ladder with frustrating next-nearest-neighbor couplings along the legs, and its study is motivated by the physics of such materials as sulfolane-Cu2Cl4 and BiCu2PO6. In magnetic fields right below the saturation, the system can be effectively represented as a dilute gas of two species of bosonic quasiparticles that correspond to magnons with inequivalent incommensurate momenta at two degenerate minima of the magnon dispersion. Using the method previously proposed and tested for frustrated spin chains, we calculate effective interactions in this two-component Bose gas. On this basis, we establish the phase diagram of nearly saturated frustrated spin tube, which is shown to include the two-component Luttinger liquid, two types of vector chiral phases, and phases whose physics is determined by the presence of bound magnons. We study the phase diagram of the model numerically by means of the density matrix renormalization group technique, and find a good agreement with our analytical predictions.
Keyword Matrix renormalization-group
Bose-gas
Heisenberg-antiferromagnet
Dimensions
Liquids
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2014 Collection
School of Physical Sciences Publications
 
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