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

Lecheminant, P.; Tsvelik, A. M.

doi:10.1103/PhysRevB.91.174407

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

Journal Article · Thu May 07 00:00:00 EDT 2015 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PhysRevB.91.174407· OSTI ID:1193226

Lecheminant, P. ^[1]; Tsvelik, A. M. ^[2]

Univ. de Cergy-Pontoise, Cedex (France)
Brookhaven National Lab. (BNL), Upton, NY (United States)

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.

View Accepted Manuscript (DOE)

Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

Grant/Contract Number:: AC02-98CH10886

OSTI ID:: 1193226

Alternate ID(s):: OSTI ID: 1226031
OSTI ID: 1179713

Report Number(s):: BNL--108111-2015-JA; BNL--108249-2015-JA; KC0202030

Journal Information:: Physical Review. B, Condensed Matter and Materials Physics, Journal Name: Physical Review. B, Condensed Matter and Materials Physics Journal Issue: 17 Vol. 91; ISSN 1098-0121; ISSN PRBMDO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Exact diagonalization of Heisenberg SU ( N ) chains in the fully symmetric and antisymmetric representations Nataf, Pierre; Mila, Frédéric Physical Review B, Vol. 93, Issue 15 https://doi.org/10.1103/physrevb.93.155134	journal	April 2016
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