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Title: Two-leg SU ( 2 n ) spin ladder: A low-energy effective field theory approach

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. Thus, 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 a double-well optical lattice.
Authors:
 [1] ;  [2]
  1. Univ. de Cergy-Pontoise, Cedex (France)
  2. Brookhaven National Lab. (BNL), Upton, NY (United States)
Publication Date:
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
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)
Research Org:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
OSTI Identifier:
1193226
Alternate Identifier(s):
OSTI ID: 1179713; OSTI ID: 1226031

Lecheminant, P., and Tsvelik, A. M.. Two-leg SU(2n) spin ladder: A low-energy effective field theory approach. United States: N. p., 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. doi:10.1103/PhysRevB.91.174407.
Lecheminant, P., and Tsvelik, A. M.. 2015. "Two-leg SU(2n) spin ladder: A low-energy effective field theory approach". United States. doi: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. Thus, 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 a 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 = {2015},
month = {5}
}