scholarly journals Universal dynamic scaling in three-dimensional Ising spin glasses

2015 ◽  
Vol 92 (2) ◽  
Author(s):  
Cheng-Wei Liu ◽  
Anatoli Polkovnikov ◽  
Anders W. Sandvik ◽  
A. P. Young
Keyword(s):  
Spin Glasses ◽  
Three Dimensional ◽  
Dynamic Scaling ◽  
Ising Spin

RECENT DEVELOPMENTS IN ISING SPIN GLASSES

1996 ◽  
Vol 07 (03) ◽  
pp. 327-335 ◽  
Author(s):  
A. P. YOUNG ◽  
N. KAWASHIMA
Keyword(s):  
Transition Temperature ◽  
Spin Glasses ◽  
Three Dimensional ◽  
Finite Size ◽  
Scaling Analysis ◽  
Finite Size Scaling ◽  
Size Scaling ◽  
Ising Spin ◽  
Recent Developments ◽  
Rule Out

We have studied the three-dimensional Ising spin glass with a ± J distribution by Monte Carlo simulations. Using larger sizes and much better statistics than in earlier work, a finite size scaling analysis shows quite strong evidence for a finite transition temperature, Tc, with ordering below Tc. Our estimate of the transition temperature is rather lower than in earlier work, and the value of the correlation length exponent, ν, is somewhat higher. Because there may be (unknown) corrections to finite size scaling, we do not completely rule out the possibility that Tc = 0 or that Tc is finite but with no order below Tc. However, from our data, these possibilities seem less likely.

scholarly journals ON THE TOPOLOGICAL ORIGIN OF ENTANGLEMENT IN ISING SPIN GLASSES

2007 ◽  
Vol 22 (03) ◽  
pp. 201-208
Author(s):  
V. V. SREEDHAR
Keyword(s):  
Spin Glasses ◽  
Three Dimensional ◽  
Group Cohomology ◽  
Duality Mapping ◽  
Spin Models ◽  
Ising Spin ◽  
Entanglement Measures ◽  
Continuous Spins ◽  
Chern Simons ◽  
Knots And Links

The origin of entanglement in a class of three-dimensional spin models, at low momenta, is traced to topological reasons. The establishment of the result is facilitated by the gauge principle which, in conjunction with the duality mapping of the spin models, enables us to recast them as lattice Chern–Simons theories. The entanglement measures are expressed in terms of the correlators of Wilson lines, loops, and their generalisations. For continuous spins, these yield the invariants of knots and links. For Ising-like models, they can be expressed in terms of three-manifold invariants obtained from finite group cohomology — the so-called Dijkgraaf–Witten invariants.

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