Two-leg spin ladder: A low-energy effective field theory approach
Abstract
We present a field theory analysis of a model of two SU(2n)-invariant magnetic chains coupled by a generic interaction preserving time reversal and inversion symmetry. Contrary to the SU(2)-invariant case the zero-temperature phase diagram of such two-leg spin ladder does not contain topological phases. Only generalized Valence Bond Solid phases are stabilized when n > 1 with different wave vectors and ground-state degeneracies. In particular, we find a phase which is made of a cluster of 2n spins put in an SU(2n) singlet state. For n = 3, this cluster phase is relevant to 173Yb ultracold atoms, with an emergent SU(6) symmetry, loaded in double-well optical lattice
- Authors:
-
- Univ. de Cergy-Pontoise, Cedex (France)
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Publication Date:
- Research Org.:
- Brookhaven National Laboratory (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1193226
- Alternate Identifier(s):
- OSTI ID: 1179713; OSTI ID: 1226031
- Report Number(s):
- BNL-108111-2015-JA; BNL-108249-2015-JA
Journal ID: ISSN 1098-0121; PRBMDO; R&D Project: PO015; KC0202030
- Grant/Contract Number:
- SC00112704; AC02-98 CH 10886
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B, Condensed Matter and Materials Physics
- Additional Journal Information:
- Journal Volume: 91; Journal Issue: 17; Journal ID: ISSN 1098-0121
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Lecheminant, P., and Tsvelik, A. M. Two-leg SU(2n) spin ladder: A low-energy effective field theory approach. United States: N. p., 2015.
Web. doi:10.1103/PhysRevB.91.174407.
Lecheminant, P., & Tsvelik, A. M. Two-leg SU(2n) spin ladder: A low-energy effective field theory approach. United States. https://doi.org/10.1103/PhysRevB.91.174407
Lecheminant, P., and Tsvelik, A. M. Thu .
"Two-leg SU(2n) spin ladder: A low-energy effective field theory approach". United States. https://doi.org/10.1103/PhysRevB.91.174407. https://www.osti.gov/servlets/purl/1193226.
@article{osti_1193226,
title = {Two-leg SU(2n) spin ladder: A low-energy effective field theory approach},
author = {Lecheminant, P. and Tsvelik, A. M.},
abstractNote = {We present a field theory analysis of a model of two SU(2n)-invariant magnetic chains coupled by a generic interaction preserving time reversal and inversion symmetry. Contrary to the SU(2)-invariant case the zero-temperature phase diagram of such two-leg spin ladder does not contain topological phases. Only generalized Valence Bond Solid phases are stabilized when n > 1 with different wave vectors and ground-state degeneracies. In particular, we find a phase which is made of a cluster of 2n spins put in an SU(2n) singlet state. For n = 3, this cluster phase is relevant to 173Yb ultracold atoms, with an emergent SU(6) symmetry, loaded in double-well optical lattice},
doi = {10.1103/PhysRevB.91.174407},
journal = {Physical Review. B, Condensed Matter and Materials Physics},
number = 17,
volume = 91,
place = {United States},
year = {Thu May 07 00:00:00 EDT 2015},
month = {Thu May 07 00:00:00 EDT 2015}
}
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