scholarly journals Ground State of Quantum Spin Glass with Infinite Range Interactions

1986 ◽  
Vol 55 (2) ◽  
pp. 656-659 ◽  
Author(s):  
Hidetoshi Nishimori ◽  
Yoshihiro Taguchi ◽  
Takehiko Oguchi
Keyword(s):  
Spin Glass ◽  
Ground State ◽  
Quantum Spin ◽  
Infinite Range Interactions ◽  
Infinite Range

THE INVESTIGATION OF THE SPIN GLASS PROPERTIES OF THE HOPFIELD NEURAL NETWORK MODEL

2005 ◽  
Vol 16 (03) ◽  
pp. 427-437 ◽  
Author(s):  
FATİH YAŞAR
Keyword(s):  
Neural Network ◽  
Spin Glass ◽  
Network Model ◽  
Neural Network Model ◽  
Mean Field ◽  
Hopfield Neural Network ◽  
Infinite Range Interactions ◽  
Physical Quantities ◽  
Infinite Range ◽  
Good Agreement

In this work, the Hopfield neural network model with infinite-range interactions is simulated by using the multicanonical algorithm. All simulations and measurements are done in spin glass states of the model with discrete ± 1 values of the random variables. Physical quantities such as the energy density, the ground-state entropy and the order parameters are evaluated at all temperatures. Our results in the spin glass region show multiple degenerate ground-states and good agreement with the replica symmetry mean field solutions.

The ground state energy of the ±J spin glass from the genetic algorithm

1994 ◽  
Vol 4 (9) ◽  
pp. 1281-1285 ◽  
Author(s):  
P. Sutton ◽  
D. L. Hunter ◽  
N. Jan
Keyword(s):  
Genetic Algorithm ◽  
Spin Glass ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy

scholarly journals Existence of Gibbs point processes with stable infinite range interaction

2020 ◽  
Vol 57 (3) ◽  
pp. 775-791
Author(s):  
David Dereudre ◽  
Thibaut Vasseur
Keyword(s):  
Point Processes ◽  
Existence Results ◽  
Pairwise Interaction ◽  
Range Interaction ◽  
Pairwise Interactions ◽  
Gibbs Point Processes ◽  
Infinite Range Interactions ◽  
Finite Configuration ◽  
Multi Body ◽  
Infinite Range

AbstractWe provide a new proof of the existence of Gibbs point processes with infinite range interactions, based on the compactness of entropy levels. Our main existence theorem holds under two assumptions. The first one is the standard stability assumption, which means that the energy of any finite configuration is superlinear with respect to the number of points. The second assumption is the so-called intensity regularity, which controls the long range of the interaction via the intensity of the process. This assumption is new and introduced here since it is well adapted to the entropy approach. As a corollary of our main result we improve the existence results by Ruelle (1970) for pairwise interactions by relaxing the superstabilty assumption. Note that our setting is not reduced to pairwise interaction and can contain infinite-range multi-body counterparts.

scholarly journals Electrically tunable low-density superconductivity in a monolayer topological insulator

Science ◽  
2018 ◽  
Vol 362 (6417) ◽  
pp. 926-929 ◽  
Author(s):  
Valla Fatemi ◽  
Sanfeng Wu ◽  
Yuan Cao ◽  
Landry Bretheau ◽  
Quinn D. Gibson ◽  
...  
Keyword(s):  
Ground State ◽  
Field Effect ◽  
Field Effect Transistor ◽  
Quantum Spin ◽  
Topological Phases ◽  
Critical Temperatures ◽  
Topological States ◽  
Effect Transistor ◽  
Topological Phases Of Matter

Turning on superconductivity in a topologically nontrivial insulator may provide a route to search for non-Abelian topological states. However, existing demonstrations of superconductor-insulator switches have involved only topologically trivial systems. Here we report reversible, in situ electrostatic on-off switching of superconductivity in the recently established quantum spin Hall insulator monolayer tungsten ditelluride (WTe2). Fabricated into a van der Waals field-effect transistor, the monolayer’s ground state can be continuously gate-tuned from the topological insulating to the superconducting state, with critical temperaturesTcup to ~1 kelvin. Our results establish monolayer WTe2as a material platform for engineering nanodevices that combine superconducting and topological phases of matter.

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