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Spin gap in chains with hidden symmetries. / Kiselev, M. N.; Aristov, D. N.; Kikoin, K.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 71, No. 9, 092404, 01.03.2005.

Research output: Contribution to journal › Article › peer-review

Harvard

Kiselev, MN, Aristov, DN & Kikoin, K 2005, 'Spin gap in chains with hidden symmetries', Physical Review B - Condensed Matter and Materials Physics, vol. 71, no. 9, 092404. https://doi.org/10.1103/PhysRevB.71.092404

APA

Kiselev, M. N., Aristov, D. N., & Kikoin, K. (2005). Spin gap in chains with hidden symmetries. Physical Review B - Condensed Matter and Materials Physics, 71(9), [092404]. https://doi.org/10.1103/PhysRevB.71.092404

Vancouver

Kiselev MN, Aristov DN, Kikoin K. Spin gap in chains with hidden symmetries. Physical Review B - Condensed Matter and Materials Physics. 2005 Mar 1;71(9). 092404. https://doi.org/10.1103/PhysRevB.71.092404

Author

Kiselev, M. N. ; Aristov, D. N. ; Kikoin, K. / Spin gap in chains with hidden symmetries. In: Physical Review B - Condensed Matter and Materials Physics. 2005 ; Vol. 71, No. 9.

BibTeX

@article{23d24ad6d85044ef8e7b5b4bdcf74ce8,
title = "Spin gap in chains with hidden symmetries",
abstract = "We investigate the formation of a spin gap in one-dimensional models characterized by groups with hidden dynamical symmetries. A family of two-parametric models of isotropic and anisotropic spin-rotator chains (SRC's) characterized by SU(2)×SU(2) and SO(2)×SO(2)×Z 2×Z 2 symmetries is introduced to describe the transition from SU(2) to SO(4) antiferromagnetic Heisenberg chains. The excitation spectrum is studied with the use of the Jordan-Wigner transformation generalized for o 4 algebra and by means of the bosonization approach. Hidden discrete symmetries associated with invariance under various particle-hole transformations are discussed. We show that the spin gap in SRC Hamiltonians is characterized by the scaling dimension 2/3, in contrast to dimension 1 in the conventional Haldane problem.",
author = "Kiselev, {M. N.} and Aristov, {D. N.} and K. Kikoin",
year = "2005",
month = mar,
day = "1",
doi = "10.1103/PhysRevB.71.092404",
language = "English",
volume = "71",
journal = "Physical Review B-Condensed Matter",
issn = "1098-0121",
publisher = "American Physical Society",
number = "9",

}

RIS

TY - JOUR

T1 - Spin gap in chains with hidden symmetries

AU - Kiselev, M. N.

AU - Aristov, D. N.

AU - Kikoin, K.

PY - 2005/3/1

Y1 - 2005/3/1

N2 - We investigate the formation of a spin gap in one-dimensional models characterized by groups with hidden dynamical symmetries. A family of two-parametric models of isotropic and anisotropic spin-rotator chains (SRC's) characterized by SU(2)×SU(2) and SO(2)×SO(2)×Z 2×Z 2 symmetries is introduced to describe the transition from SU(2) to SO(4) antiferromagnetic Heisenberg chains. The excitation spectrum is studied with the use of the Jordan-Wigner transformation generalized for o 4 algebra and by means of the bosonization approach. Hidden discrete symmetries associated with invariance under various particle-hole transformations are discussed. We show that the spin gap in SRC Hamiltonians is characterized by the scaling dimension 2/3, in contrast to dimension 1 in the conventional Haldane problem.

AB - We investigate the formation of a spin gap in one-dimensional models characterized by groups with hidden dynamical symmetries. A family of two-parametric models of isotropic and anisotropic spin-rotator chains (SRC's) characterized by SU(2)×SU(2) and SO(2)×SO(2)×Z 2×Z 2 symmetries is introduced to describe the transition from SU(2) to SO(4) antiferromagnetic Heisenberg chains. The excitation spectrum is studied with the use of the Jordan-Wigner transformation generalized for o 4 algebra and by means of the bosonization approach. Hidden discrete symmetries associated with invariance under various particle-hole transformations are discussed. We show that the spin gap in SRC Hamiltonians is characterized by the scaling dimension 2/3, in contrast to dimension 1 in the conventional Haldane problem.

UR - http://www.scopus.com/inward/record.url?scp=20344366797&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.71.092404

DO - 10.1103/PhysRevB.71.092404

M3 - Article

AN - SCOPUS:20344366797

VL - 71

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 1098-0121

IS - 9

M1 - 092404

ER -

ID: 36119462