High-temperature dynamics of the anisotropic spin-1/2 square lattice Heisenberg model studied by moment methods

1989 ◽  
Vol 77 (1) ◽  
pp. 111-118 ◽  
Author(s):  
J. Stolze ◽  
U. Brandt
Keyword(s):  
High Temperature ◽  
Heisenberg Model ◽  
Square Lattice ◽  
Moment Methods ◽  
Temperature Dynamics

scholarly journals Finite temperature properties and frustrated ferromagnetism in a square lattice Heisenberg model

2004 ◽  
Vol 38 (4) ◽  
pp. 599-616 ◽  
Author(s):  
N. Shannon ◽  
B. Schmidt ◽  
K. Penc ◽  
P. Thalmeier
Keyword(s):  
Finite Temperature ◽  
Heisenberg Model ◽  
Square Lattice

MONTE CARLO STUDY OF THE SPIN-1/2 HEISENBERG MODEL IN 1, 2, AND 3 DIMENSIONS

1991 ◽  
Vol 05 (13) ◽  
pp. 907-914 ◽  
Author(s):  
RICHARD J. CRESWICK ◽  
CYNTHIA J. SISSON
Keyword(s):  
Monte Carlo ◽  
High Temperature ◽  
Spin Wave ◽  
Heisenberg Model ◽  
Transition Probability ◽  
Lattice Models ◽  
Wave Theory ◽  
Temperature Expansion ◽  
High Temperature Expansion ◽  
Good Agreement

The properties of the spin-1/2 Heisenberg model on 1, 2, and 3-dimensional lattices are calculated using the Decoupled Cell Method of Homma et al., and these results are compared with high temperature and spin-wave expansions, and with other numerical approaches. The DCM has advantages over other Monte Carlo methods currently in wide use in that the transition probability is positive definite, there is no need to introduce an additional imaginary time, or Trotter, dimension, and the acceptance rate for transitions is comparable to that of classical lattice models. We find very good agreement between the DCM and the high temperature expansion in the temperature region where the high temperature expansion is valid, and reasonably good agreement at low temperatures with spin wave theory. The DCM fails for temperatures T < Tc which decreases with the size of the cell.

scholarly journals Square Lattice Iridates

2019 ◽  
Vol 10 (1) ◽  
pp. 315-336 ◽  
Author(s):  
Joel Bertinshaw ◽  
Y.K. Kim ◽  
Giniyat Khaliullin ◽  
B.J. Kim
Keyword(s):  
High Temperature ◽  
High Temperature Superconductivity ◽  
High Temperature Superconductors ◽  
Single Layer ◽  
Square Lattice ◽  
Spin Orbit Coupling ◽  
Fermi Arcs ◽  
Firm Evidence ◽  
Energy Physics ◽  
Strong Spin

Over the past few years, Sr2IrO4, a single-layer member of the Ruddlesden–Popper series iridates, has received much attention as a close analog of cuprate high-temperature superconductors. Although there is not yet firm evidence for superconductivity, a remarkable range of cuprate phenomenology has been reproduced in electron- and hole-doped iridates including pseudogaps, Fermi arcs, and d-wave gaps. Furthermore, many symmetry-breaking orders reminiscent of those decorating the cuprate phase diagram have been reported using various experimental probes. We discuss how the electronic structures of Sr2IrO4 through strong spin-orbit coupling leads to the low-energy physics that had long been unique to cuprates, what the similarities and differences between cuprates and iridates are, and how these advance the field of high-temperature superconductivity by isolating essential ingredients of superconductivity from a rich array of phenomena that surround it. Finally, we comment on the prospect of finding a new high-temperature superconductor based on the iridate series.

scholarly journals Exchange energies of kapellasite from high-temperature series analysis of the kagome latticeJ1−J2−Jd-Heisenberg model

2013 ◽  
Vol 87 (15) ◽  
Author(s):  
B. Bernu ◽  
C. Lhuillier ◽  
E. Kermarrec ◽  
F. Bert ◽  
P. Mendels ◽  
...  
Keyword(s):  
High Temperature ◽  
Heisenberg Model ◽  
Temperature Series ◽  
Series Analysis
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