scholarly journals The ground state of the “frozen” electron phase in two-dimensional narrow-band conductors with a long-range interelectron repulsion. Stripe formation and effective lowering of dimension

1999 ◽  
Vol 25 (8) ◽  
pp. 702-707
Author(s):  
A. A. Slutskin ◽  
V. V. Slavin ◽  
H. A. Kovtun
Keyword(s):  
Long Range ◽  
Ground State ◽  
Narrow Band ◽  
Two Dimensional

ENTANGLEMENT IN ONE-AND TWO-DIMENSIONAL ANDERSON MODELS WITH LONG-RANGE CORRELATED-DISORDER

2009 ◽  
Vol 07 (05) ◽  
pp. 959-968
Author(s):  
Z. Z. GUO ◽  
Z. G. XUAN ◽  
Y. S. ZHANG ◽  
XIAOWEI WU
Keyword(s):  
Long Range ◽  
Ground State ◽  
Two Dimensions ◽  
Von Neumann Entropy ◽  
Two Dimensional ◽  
Correlation Effects ◽  
Von Neumann ◽  
Range Correlation ◽  
The Difference ◽  
Anderson Models

The ground state entanglement in one- and two-dimensional Anderson models are studied with consideration of the long-range correlation effects and using the measures of concurrence and von Neumann entropy. We compare the effects of the long-range power-law correlation for the on-site energies on entanglement with the uncorrelated cases. We demonstrate the existence of the band structure of the entanglement. The intraband and interband jumping phenomena of the entanglement are also reported and explained to as the localization-delocalization transition of the system. We also demonstrated the difference between the results of one- and two-dimensions. Our results show that the correlation of the on-site energies increases the entanglement.

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

scholarly journals Phase transition and monopole densities in a nearest neighbor two-dimensional spin ice model

2017 ◽  
Vol 31 (31) ◽  
pp. 1750237
Author(s):  
C. W. Morais ◽  
D. N. De Freitas ◽  
A. L. Mota ◽  
E. C. Bastone
Keyword(s):  
Phase Transition ◽  
Long Range ◽  
Ground State ◽  
Nearest Neighbor ◽  
Nearest Neighbors ◽  
Dipolar Interaction ◽  
Effective Model ◽  
Two Dimensional ◽  
Spin Ice ◽  
Ice Model

In this work, we show that, due to the alternating orientation of the spins in the ground state of the artificial square spin ice, the influence of a set of spins at a certain distance of a reference spin decreases faster than the expected result for the long range dipolar interaction, justifying the use of the nearest neighbor two-dimensional square spin ice model as an effective model. Using an extension of the model presented in Y. L. Xie et al., Sci. Rep. 5, 15875 (2015), considering the influence of the eight nearest neighbors of each spin on the lattice, we analyze the thermodynamics of the model and study the dependence of monopoles and string densities as a function of the temperature.

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.

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