skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Journal Article · · Physical Review. B, Condensed Matter and Materials Physics
 [1];  [2]
  1. Univ. de Cergy-Pontoise, Cedex (France)
  2. 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. 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

Research Organization:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
SC00112704; AC02-98 CH 10886
OSTI ID:
1193226
Alternate ID(s):
OSTI ID: 1179713; OSTI ID: 1226031
Report Number(s):
BNL-108111-2015-JA; BNL-108249-2015-JA; PRBMDO; R&D Project: PO015; KC0202030
Journal Information:
Physical Review. B, Condensed Matter and Materials Physics, Vol. 91, Issue 17; ISSN 1098-0121
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 8 works
Citation information provided by
Web of Science

References (50)

Exact SO(5) Symmetry in the Spin- 3 / 2 Fermionic System journal October 2003
Ultracold Fermi gases with emergent SU( N ) symmetry journal November 2014
Two-orbital S U(N) magnetism with ultracold alkaline-earth atoms journal February 2010
Excitation spectrum of doped two-leg ladders: A field theory analysis journal July 2005
Dynamical Symmetry Enlargement versus Spin-Charge Decoupling in the One-Dimensional SU(4) Hubbard Model journal July 2004
Enlarged symmetry and coherence in arrays of quantum dots journal May 1999
Antiferromagnetic spin ladders: Crossover between spin S =1/2 and S =1 chains journal April 1996
Lattice of double wells for manipulating pairs of cold atoms journal March 2006
Exact Diagonalization of Heisenberg SU ( N ) Models journal September 2014
Hidden Symmetry and Quantum Phases in Spin-3/2 cold Atomic Systems journal November 2006
Topological liquids and valence cluster states in two-dimensional SU ( N ) magnets journal November 2011
Observation of two-orbital spin-exchange interactions with ultracold SU(N)-symmetric fermions journal August 2014
Z4×Z4 symmetry and parafermion operators in the self-dual critical ashkin-teller model journal January 1987
Alternating Spin and Orbital Dimerization and Spin-Gap Formation in Coupled Spin-Orbital Systems journal December 1998
Current algebra and Wess-Zumino model in two dimensions journal December 1984
Exact critical exponents for quantum spin chains, non-linear σ-models at θ=π and the quantum hall effect journal March 1986
Surprises on the Way from One- to Two-Dimensional Quantum Magnets: The Ladder Materials journal February 1996
Spectroscopic observation of SU(N)-symmetric interactions in Sr orbital magnetism journal August 2014
SU ( N ) magnetism in chains of ultracold alkaline-earth-metal atoms: Mott transitions and quantum correlations journal October 2011
Role of transverse hopping in a two-coupled-chains model journal December 1993
Metal-insulator transition in the one-dimensional SU ( N ) Hubbard model journal July 1999
Exact spontaneous plaquette ground states for high-spin ladder models journal December 2005
Model for a multicomponent quantum system journal November 1975
SU(2n) quantum antiferromagnets with exact C-breaking ground states journal December 1991
Weak-coupling phase diagram of the two-chain Hubbard model journal May 1996
Competing orders in one-dimensional half-filled multicomponent fermionic cold atoms: The Haldane-charge conjecture journal September 2011
Critical behaviour of SU(n) quantum chains and topological non-linear σ-models journal December 1988
Modular invariant partition functions for parafermionic field theories journal January 1987
Criticality in self-dual sine-Gordon models journal September 2002
Integrable perturbations of ZN parafermion models and the O(3) sigma model journal November 1991
Mott Insulators of Ultracold Fermionic Alkaline Earth Atoms: Underconstrained Magnetism and Chiral Spin Liquid journal September 2009
Symmetric and asymmetric excitations of a strong-leg quantum spin ladder journal September 2013
Spinful fermionic ladders at incommensurate filling: Phase diagram, local perturbations, and ionic potentials journal December 2013
SU(4) Theory for Spin Systems with Orbital Degeneracy journal October 1998
Spin-orbital interaction for face-sharing octahedra: Realization of a highly symmetric SU(4) model journal April 2015
SU ( N ) quantum spin models: a variational wavefunction study journal March 2007
Thermodynamics of the One-Dimensional SU(4) Symmetric Spin-Orbital Model journal January 1999
Expectation values of local fields for a two-parameter family of integrable models and related perturbed conformal field theories journal November 1998
Doped Spin Liquid: Luttinger Sum Rule and Low Temperature Order journal March 2006
SU(4) spin-orbit critical state in one dimension journal October 1998
One-Dimensional SU(4) Spin-Orbital Model: A Low-Energy Effective Theory journal July 1999
INTEGRABLE DEFORMATIONS IN Z N -SYMMETRICAL MODELS OF THE CONFORMAL QUANTUM FIELD THEORY journal May 1991
Bosonization of ZN parafermions journal September 1989
Exact SO(8) symmetry in the weakly-interacting two-leg ladder journal July 1998
Spontaneous Plaquette Formation in the SU(4) Spin-Orbital Ladder journal April 2001
Superconductivity generated by coupling to a cooperon in a two-dimensional array of four-leg Hubbard ladders journal August 2010
Non-abelian bosonization in two dimensions journal December 1984
Ultracold gases of ytterbium: ferromagnetism and Mott states in an SU(6) Fermi system journal October 2009
Phases of two coupled Luttinger liquids journal February 1996
Confinement of fractional quantum number particles in a condensed-matter system journal November 2009

Cited By (6)

Exact diagonalization of Heisenberg SU ( N ) chains in the fully symmetric and antisymmetric representations journal April 2016
Unified phase diagram of antiferromagnetic SU( N ) spin ladders journal August 2018
Exact diagonalization of Heisenberg $SU(N)$ chains in the fully symmetric and antisymmetric representations text January 2016
Nontopological Majorana Zero Modes in Inhomogeneous Spin Ladders journal January 2019
Non-Topological Majorana Zero Modes in Inhomogeneous Spin Ladders text January 2018
Unified Phase Diagram of Antiferromagnetic SU(N) Spin Ladders text January 2018