Exact diagonalization of the S = 1/2 XY ferromagnet on a new set of finite triangular lattices at T = 0

2003 ◽  
Vol 81 (3) ◽  
pp. 555-571
Author(s):  
D D Betts ◽  
K S Lee ◽  
H Q Lin
Keyword(s):  
Triangular Lattice ◽  
Exact Diagonalization ◽  
Spin Correlations ◽  
The Past ◽  
Infinite Lattice ◽  
Finite Lattices ◽  
Triangular Lattices ◽  
Scalar Equations

We have obtained 85 finite triangular lattices from 7 to 36 vertices. We display two very good finite lattices – 21a (well-known) and 22a (previously unknown). Over the past decade several physicists have used exact diagonalization on five tripartite triangular lattices from N = 9 to 36 to study the Heisenberg and XY antiferromagnet on the infinite triangular lattice. Nine more tripartite triangular lattices are available as shown below in the text. Our exact diagonalization of the S = 1/2 XY ferromagnetic energies and magnetization leads, by scalar equations, to the properties on the infinite lattice. We found that all but 10 of the 85 are good lattices. Finally, we obtained spin–spin correlations of two kinds, xx and zz. PACS Nos.: 75.10Jm, 05.05+q

scholarly journals OPTIMIZING THE RVB STATE ON A TRIANGULAR LATTICE: PRESENCE OF THE LONG RANGE ORDER

1994 ◽  
Vol 08 (20) ◽  
pp. 1253-1260 ◽  
Author(s):  
YONG-CONG CHEN
Keyword(s):  
Long Range ◽  
Triangular Lattice ◽  
Mean Field ◽  
Exact Diagonalization ◽  
Heisenberg Antiferromagnet ◽  
Spin Correlations ◽  
Consistent Approximation ◽  
Finite Lattices ◽  
Field State ◽  
The Mean

We present a Schwinger boson approach for the RVB state of the spin-1/2 Heisenberg antiferromagnet on a triangular lattice. It is shown that a Gutzwiller projection of the mean field state that includes both antiferromagnetic and ferromagnetic decouplings leads to optimizing the RVB pair amplitudes within a self-consistent approximation. The resulting state yields, by Monte Carlo simulations, energies and spin-spin correlations in excellent agreement with the exact diagonalization result on finite lattices (up to 36 sites). We conclude that the optimized RVB wave function possesses a long range three-sublattice order.

Zero-temperature properties of quantum spin models on the triangular lattice II: the antiferromagnet

1987 ◽  
Vol 65 (1) ◽  
pp. 76-81 ◽  
Author(s):  
S. Fujiki ◽  
D. D. Betts
Keyword(s):  
Triangular Lattice ◽  
State Energy ◽  
Spin Correlation ◽  
Quantum Spin ◽  
Transverse Spin ◽  
Nearest Neighbour ◽  
Spin Correlations ◽  
Infinite Lattice ◽  
Longitudinal Correlation ◽  
Quantum Spin Models

The calculation of two- and four-spin correlations of the [Formula: see text] antiferromagnet has been extended to an N = 21 site triangular lattice. By fitting a quadratic in 1/N to the nearest neighbour transverse spin correlations, we have estimated the ground-state energy per bond on the infinite lattice to be E0/3NJ = −0.2716 ± 0.005. The nearest neighbour longitudinal correlation is estimated to be [Formula: see text]. A short-range order parameter, the chirality, is defined and estimated for the infinite lattice. From the N dependence of the three sublattice or helical magnetization, the spin correlation is conjectured to decay algebraically as [Formula: see text].

scholarly journals Thermal evolution of quasi-one-dimensional spin correlations within the anisotropic triangular lattice of α−NaMnO2

2018 ◽  
Vol 98 (14) ◽  
Author(s):  
Rebecca L. Dally ◽  
Robin Chisnell ◽  
Leland Harriger ◽  
Yaohua Liu ◽  
Jeffrey W. Lynn ◽  
...  
Keyword(s):  
Triangular Lattice ◽  
Thermal Evolution ◽  
Spin Correlations ◽  
One Dimensional

scholarly journals Quasi-two-dimensional spin correlations in the triangular lattice bilayer spin glass LuCoGaO4

2017 ◽  
Vol 96 (9) ◽  
Author(s):  
K. Fritsch ◽  
K. A. Ross ◽  
G. E. Granroth ◽  
G. Ehlers ◽  
H. M. L. Noad ◽  
...  
Keyword(s):  
Spin Glass ◽  
Triangular Lattice ◽  
Two Dimensional ◽  
Spin Correlations

scholarly journals Development of Spin Correlations in the Geometrically Frustrated Triangular-Lattice Heisenberg Antiferromagnet CuCrO2

2015 ◽  
Vol 84 (7) ◽  
pp. 074708 ◽  
Author(s):  
Ryoichi Kajimoto ◽  
Keisuke Tomiyasu ◽  
Kenji Nakajima ◽  
Seiko Ohira-Kawamura ◽  
Yasuhiro Inamura ◽  
...  
Keyword(s):  
Triangular Lattice ◽  
Heisenberg Antiferromagnet ◽  
Spin Correlations ◽  
Geometrically Frustrated

Exact diagonalization study on the extended Hubbard model in an anisotropic triangular lattice

2008 ◽  
Vol 69 (12) ◽  
pp. 3334-3336 ◽  
Author(s):  
Ken Kanada ◽  
Tsutomu Watanabe ◽  
Seiichiro Onari ◽  
Yukio Tanaka
Keyword(s):  
Hubbard Model ◽  
Triangular Lattice ◽  
Exact Diagonalization ◽  
Extended Hubbard Model
Sign in / Sign up

Export Citation Format

Share Document