scholarly journals Two spin liquid phases in the spatially anisotropic triangular Heisenberg model

2006 ◽  
Vol 74 (1) ◽  
Author(s):  
Seiji Yunoki ◽  
Sandro Sorella
Keyword(s):  
Heisenberg Model ◽  
Spin Liquid ◽  
Liquid Phases

THE DISAPPEARANCE OF TWO-DIMENSIONAL LONG RANGE ORDER IN THE HEISENBERG MODEL WITH COMPETING INTERACTIONS

1990 ◽  
Vol 04 (15n16) ◽  
pp. 2319-2333 ◽  
Author(s):  
A. F. BARABANOV ◽  
L. A. MAKSIMOV ◽  
O. A. STARYKH
Keyword(s):  
Long Range ◽  
Heisenberg Model ◽  
Spin Correlation ◽  
Range Order ◽  
Square Lattice ◽  
Spin Excitation ◽  
Spin Liquid ◽  
Long Range Order ◽  
Competing Interactions ◽  
Nearest Neighbours

In the frustrated Heisenberg model with first (J1) and second (J2) nearest neighbours interactions on a square lattice the transition from the long range order state (LROS) to spin liquid state (SLS) is found at α = J1/J2 ≅ 0.25. SLS is characterized by the gap in spin excitation spectrum at T = 0 and, hence, by exponential decay of spin correlation function at large distance. As a result, correlation length is temperature independent in SLS in accordance with neutron experiments on doped La 2 CuO 4.

scholarly journals Magnetic and spin-liquid phases in the frustrated t−t′ Hubbard model on the triangular lattice

2020 ◽  
Vol 102 (11) ◽  
Author(s):  
Luca F. Tocchio ◽  
Arianna Montorsi ◽  
Federico Becca
Keyword(s):  
Hubbard Model ◽  
Triangular Lattice ◽  
Spin Liquid ◽  
Liquid Phases

scholarly journals Spin liquid phases of large-spin Mott insulating ultracold bosons

2016 ◽  
Vol 93 (9) ◽  
Author(s):  
Todd C. Rutkowski ◽  
Michael J. Lawler
Keyword(s):  
Spin Liquid ◽  
Liquid Phases ◽  
Large Spin

scholarly journals Gapless chiral spin liquid in a kagome Heisenberg model

2015 ◽  
Vol 92 (6) ◽  
Author(s):  
Samuel Bieri ◽  
Laura Messio ◽  
Bernard Bernu ◽  
Claire Lhuillier
Keyword(s):  
Heisenberg Model ◽  
Spin Liquid

scholarly journals Quantum phases of the frustrated XY models on the honeycomb lattice

2014 ◽  
Vol 28 (31) ◽  
pp. 1430016 ◽  
Author(s):  
Zhenyue Zhu ◽  
Steven R. White
Keyword(s):  
Renormalization Group ◽  
Xy Model ◽  
Honeycomb Lattice ◽  
Spin Liquid ◽  
Density Matrix Renormalization Group ◽  
Quantum Phases ◽  
The Third ◽  
Density Matrix Renormalization ◽  
Liquid Phases ◽  
Liquid States

Searching for spin-liquid states has long been attracting both experimentalists and theorists. In this paper, we review recent density matrix renormalization group studies of the spin-½ XY model on the honeycomb lattice, with first-neighbor (J1 = 1) and frustrating second-neighbor (J2 > 0) interactions. For the intermediate frustration regime 0.22 ≲ J2 ≲ 0.36, there exists a surprising antiferromagnetic Ising phase, with ordered moments pointing along the z-axis, despite the absence of any SzSz interactions in the Hamiltonian. Surrounding this phase as a function of J2 are antiferromagnetic phases with the moments pointing in the xy-plane for small J2 and a close competition between an xy-plane magnetic collinear phase and a dimer phase for large values of J2. No spin-liquid phases was found in the XY model even with the third-neighbor (J3 > 0) interactions.

scholarly journals String order in spin liquid phases of spin ladders

2001 ◽  
Vol 63 (13) ◽  
Author(s):  
G. Fáth ◽  
Ö. Legeza ◽  
J. Sólyom
Keyword(s):  
Spin Liquid ◽  
Liquid Phases
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