Ground state study of spin-1/2 Falicov-Kimball model on a triangular lattice

2012 ◽  
Author(s):  
Umesh K. Yadav ◽  
Sant Kumar ◽  
T. Maitra ◽  
Ishwar Singh
Keyword(s):  
Triangular Lattice ◽  
Ground State ◽  
State Study

scholarly journals Dimer description of the SU(4) antiferromagnet on the triangular lattice

2020 ◽  
Vol 8 (5) ◽  
Author(s):  
Anna Keselman ◽  
Lucile Savary ◽  
Leon Balents
Keyword(s):  
Phase Diagram ◽  
Triangular Lattice ◽  
Ground State ◽  
Degrees Of Freedom ◽  
Numerical Study ◽  
Spin Model ◽  
Translation Invariance ◽  
Multilayer Graphene ◽  
High Symmetry ◽  
Starting Point

In systems with many local degrees of freedom, high-symmetry points in the phase diagram can provide an important starting point for the investigation of their properties throughout the phase diagram. In systems with both spin and orbital (or valley) degrees of freedom such a starting point gives rise to SU(4)-symmetric models. Here we consider SU(4)-symmetric "spin'' models, corresponding to Mott phases at half-filling, i.e. the six-dimensional representation of SU(4). This may be relevant to twisted multilayer graphene. In particular, we study the SU(4) antiferromagnetic "Heisenberg'' model on the triangular lattice, both in the classical limit and in the quantum regime. Carrying out a numerical study using the density matrix renormalization group (DMRG), we argue that the ground state is non-magnetic. We then derive a dimer expansion of the SU(4) spin model. An exact diagonalization (ED) study of the effective dimer model suggests that the ground state breaks translation invariance, forming a valence bond solid (VBS) with a 12-site unit cell. Finally, we consider the effect of SU(4)-symmetry breaking interactions due to Hund's coupling, and argue for a possible phase transition between a VBS and a magnetically ordered state.

scholarly journals Field-induced instability of the quantum spin liquid ground state in the Jeff=12 triangular-lattice compound NaYbO2

2019 ◽  
Vol 99 (18) ◽  
Author(s):  
K. M. Ranjith ◽  
D. Dmytriieva ◽  
S. Khim ◽  
J. Sichelschmidt ◽  
S. Luther ◽  
...  
Keyword(s):  
Triangular Lattice ◽  
Ground State ◽  
Quantum Spin ◽  
Spin Liquid ◽  
Quantum Spin Liquid

Impurity Effect on the Stability of the Ground-State Spin Configuration in Triangular Lattice Antiferromagnet CuFeO2

1995 ◽  
Vol 64 (10) ◽  
pp. 3643-3646 ◽  
Author(s):  
Yoshitami Ajiro ◽  
Kazumi Hanasaki ◽  
Takayuki Asano ◽  
Takeo Takagi ◽  
Mamoru Mekata ◽  
...  
Keyword(s):  
Triangular Lattice ◽  
Ground State ◽  
Impurity Effect ◽  
Spin Configuration ◽  
Ground State Spin ◽  
The Stability ◽  
State Spin ◽  
Triangular Lattice Antiferromagnet

Ground-state properties of theS=1/2 Heisenberg antiferromagnet on a triangular lattice

1990 ◽  
Vol 42 (7) ◽  
pp. 4800-4803 ◽  
Author(s):  
Th. Jolicoeur ◽  
E. Dagotto ◽  
E. Gagliano ◽  
S. Bacci
Keyword(s):  
Triangular Lattice ◽  
Ground State ◽  
Heisenberg Antiferromagnet ◽  
Ground State Properties
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