Twoleg $\mathrm{SU}\left(2n\right)$ spin ladder: A lowenergy effective field theory approach
We present a fieldtheory 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 zerotemperature phase diagram of such twoleg spin ladder does not contain topological phases. Thus, only generalized Valence Bond Solid phases are stabilized when n > 1 with different wave vectors and groundstate 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 doublewell optical lattice.
 Authors:

^{[1]};
^{[2]}
 Univ. de CergyPontoise, Cedex (France)
 Brookhaven National Lab. (BNL), Upton, NY (United States)
 Publication Date:
 Report Number(s):
 BNL1081112015JA; BNL1082492015JA
Journal ID: ISSN 10980121; PRBMDO; R&D Project: PO015; KC0202030
 Grant/Contract Number:
 SC00112704; AC0298 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 10980121
 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) (SC22)
 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.. Twoleg SU(2n) spin ladder: A lowenergy effective field theory approach. United States: N. p.,
Web. doi:10.1103/PhysRevB.91.174407.
Lecheminant, P., & Tsvelik, A. M.. Twoleg SU(2n) spin ladder: A lowenergy effective field theory approach. United States. doi:10.1103/PhysRevB.91.174407.
Lecheminant, P., and Tsvelik, A. M.. 2015.
"Twoleg SU(2n) spin ladder: A lowenergy effective field theory approach". United States.
doi:10.1103/PhysRevB.91.174407. https://www.osti.gov/servlets/purl/1193226.
@article{osti_1193226,
title = {Twoleg SU(2n) spin ladder: A lowenergy effective field theory approach},
author = {Lecheminant, P. and Tsvelik, A. M.},
abstractNote = {We present a fieldtheory 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 zerotemperature phase diagram of such twoleg spin ladder does not contain topological phases. Thus, only generalized Valence Bond Solid phases are stabilized when n > 1 with different wave vectors and groundstate 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 doublewell 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}
}