Ground-State Long-Range Order of the Two-Dimensional Quantum Antiferromagnet

1989 ◽  
pp. 59-60
Author(s):  
Y. Ozeki ◽  
H. Nishimori ◽  
Y. Tomita
Keyword(s):  
Long Range ◽  
Ground State ◽  
Range Order ◽  
Long Range Order ◽  
Two Dimensional ◽  
Quantum Antiferromagnet

Long range order in the ground state of two-dimensional antiferromagnets

1986 ◽  
Vol 114 (6) ◽  
pp. 331-333 ◽  
Author(s):  
E.Jordão Neves ◽  
J.Fernando Perez
Keyword(s):  
Long Range ◽  
Ground State ◽  
Range Order ◽  
Long Range Order ◽  
Two Dimensional

SPIN-1/2 TWO-DIMENSIONAL ANISOTROPIC HEISENBERG ANTIFERROMAGNETS

1989 ◽  
Vol 03 (09) ◽  
pp. 1435-1441 ◽  
Author(s):  
C.Y. PAN
Keyword(s):  
Renormalization Group ◽  
Long Range ◽  
Ground State ◽  
Two Dimensions ◽  
Range Order ◽  
Group Method ◽  
Long Range Order ◽  
Two Dimensional ◽  
Wide Range ◽  
Heisenberg Antiferromagnets

A real space renormalization group method is applied to study the spin-1/2 two-dimensional anisotropic Heisenberg antiferromagnets. We carry out the calculation on a 5×5 cluster by using a variational approach. The ground-state energy per site is estimated as e0=−0.6845±0.0005 which is in good agreement with other numerical estimates. We also calculate the different ground state energies when anisotropy changes. By comparing with 3×3 cluster calculation the resulting threshold for long range order drops and the curve of the renormalization group parameter vs. anisotropy shows no hint of discontinuity over a wide range of anisotropic parameters. Hence, our calculation suggests that long-range order exists for the ground-state of the spin-1/2 Heisenberg antiferromagnets in two dimensions.

scholarly journals Recovery of long-range order in two-dimensional charge density waves at high temperatures

2021 ◽  
Vol 27 (S1) ◽  
pp. 952-954
Author(s):  
Suk Hyun Sung ◽  
Yin Min Goh ◽  
Noah Schnitzer ◽  
Ismail El Baggari ◽  
Kai Sun ◽  
...  
Keyword(s):  
Charge Density ◽  
Long Range ◽  
High Temperatures ◽  
Charge Density Waves ◽  
Range Order ◽  
Long Range Order ◽  
Two Dimensional ◽  
Density Waves

scholarly journals Off-Diagonal Long-Range Order in Generalized Hubbard Models

1997 ◽  
Vol 11 (11) ◽  
pp. 1311-1335 ◽  
Author(s):  
Kristel Michielsen ◽  
Hans De Raedt
Keyword(s):  
Density Matrix ◽  
Hubbard Model ◽  
Long Range ◽  
Ground State ◽  
Size Dependence ◽  
State Energy ◽  
System Size ◽  
Range Order ◽  
Long Range Order ◽  
Hubbard Models

We present stochastic diagonalization results for the ground-state energy and the largest eigenvalue of the two-fermion density matrix of the BCS reduced Hamiltonian, the Hubbard model, and the Hubbard model with correlated hopping. The system-size dependence of this eigenvalue is used to study the existence of Off-Diagonal Long-Range Order in these models. We show that the model with correlated hopping and repulsive on-site interaction can exhibit Off-Diagonal Long-Range Order. Analytical results for some special limiting cases indicate that Off-Diagonal Long-Range Order not always implies superconductivity.

Sign in / Sign up

Export Citation Format

Share Document