scholarly journals (Four) Dual Plaquette 3D Ising Models

Entropy ◽  
2020 ◽  
Vol 22 (6) ◽  
pp. 633
Author(s):  
Desmond A. Johnston ◽  
Ranasinghe P. K. C. M. Ranasinghe
Keyword(s):  
Ising Model ◽  
High Temperature Phase ◽  
Transverse Spin ◽  
Global Symmetry ◽  
Temperature Phase ◽  
Gauge Invariant ◽  
Dual Formulation ◽  
Quantum Version ◽  
Ising Spins ◽  
Toric Code

A characteristic feature of the 3 d plaquette Ising model is its planar subsystem symmetry. The quantum version of this model has been shown to be related via a duality to the X-Cube model, which has been paradigmatic in the new and rapidly developing field of fractons. The relation between the 3 d plaquette Ising and the X-Cube model is similar to that between the 2 d quantum transverse spin Ising model and the Toric Code. Gauging the global symmetry in the case of the 2 d Ising model and considering the gauge invariant sector of the high temperature phase leads to the Toric Code, whereas gauging the subsystem symmetry of the 3 d quantum transverse spin plaquette Ising model leads to the X-Cube model. A non-standard dual formulation of the 3 d plaquette Ising model which utilises three flavours of spins has recently been discussed in the context of dualising the fracton-free sector of the X-Cube model. In this paper we investigate the classical spin version of this non-standard dual Hamiltonian and discuss its properties in relation to the more familiar Ashkin–Teller-like dual and further related dual formulations involving both link and vertex spins and non-Ising spins.

scholarly journals Neural Network for Prediction of Curie Temperature of Two-Dimensional Ising Model

2021 ◽  
Vol 21 (1) ◽  
pp. 51-60
Author(s):  
A.O. Korol ◽  
◽  
V.Yu. Kapitan ◽  
◽  
◽  
...  
Keyword(s):  
Neural Network ◽  
Ising Model ◽  
Curie Temperature ◽  
High Temperature Phase ◽  
Square Lattice ◽  
Temperature Phase ◽  
The Neural Network ◽  
Different Temperatures ◽  
Low Temperature Phase ◽  
Ising Spins

The authors describe a method for determining the critical point of a second-order phase transitions using a convolutional neural network based on the Ising model on a square lattice. Data for training were obtained using Metropolis algorithm for different temperatures. The neural network was trained on the data corresponding to the low-temperature phase, that is a ferromagnetic one and high-temperature phase, that is a paramagnetic one, respectively. After training, the neural network analyzed input data from the entire temperature range: from 0.1 to 5.0 (in dimensionless units) and determined (the Curie temperature T_c). The accuracy of the obtained results was estimated relative to the Onsager solution for a flat lattice of Ising spins.

EXACT SOLUTIONS FOR A 4-SPIN-INTERACTION ISING MODEL ON THE d=3 PYROCHLORE LATTICE

1989 ◽  
Vol 03 (08) ◽  
pp. 1247-1275 ◽  
Author(s):  
J.H. BARRY ◽  
F.Y. WU
Keyword(s):  
Ising Model ◽  
Exact Solutions ◽  
Inelastic Neutron Scattering ◽  
Coupling Parameter ◽  
Interaction Model ◽  
High Temperature Phase ◽  
Model Systems ◽  
Spin Interaction ◽  
Temperature Phase ◽  
Ising Spins

The pyrochlore lattice is a three-dimensional (d=3) periodic array of corner-sharing regular tetrahedra. An Ising model is defined upon this lattice as having a 4-spin “volume” interaction among the corner Ising spins of each elementary tetrahedron. The model is solved exactly and shown to be devoid of any finite-temperature phase transition, thereby remaining in a disordered (high-temperature) phase. Exact solutions are found for all multisite correlations which are then used to obtain exact solutions for specific heat, initial and non-linear parallel magnetic susceptibilities as well as initial perpendicular susceptibility, inelastic neutron scattering function, and the joint configurational probabilities of the Ising spins. All solutions are simple algebraic functions of K and tanh K (K being the multispin coupling parameter) and exhibit such behaviors as rounded extrema, crossing points, sigmoidal curves having non-vertical inflection points, and the like. Despite their “analytical quiescence”, most of these simple solutions are evidently the first exact explicit expressions for the selected physical quantities to appear in the literature for classical and quantal d=3 Ising models having multispin “volume” interactions, with the prospect of offering some guidance and insights upon a larger class of multisite-interaction model systems.

LANDAU DESCRIPTION OF THE SUPERCONDUCTING PHASE TRANSITION

1993 ◽  
Vol 07 (25) ◽  
pp. 4271-4288 ◽  
Author(s):  
MICHAEL KIOMETZIS ◽  
ADRIAAN M.J. SCHAKEL
Keyword(s):  
Magnetic Field ◽  
Phase Transition ◽  
Three Dimensional ◽  
High Temperature Phase ◽  
Superconducting Phase ◽  
Zero Magnetic Field ◽  
Global Symmetry ◽  
Temperature Phase ◽  
Goldstone Mode ◽  
Vector Mode

Focusing on an order parameter that signals the breakdown of a global symmetry, we employ a dual formulation of the Ginzburg-Landau model to obtain a Landau description of the phase transition of three-dimensional type-II superconductors at zero magnetic field. In the superconducting phase the dual theory is a complex |ψ|4 theory interacting via a shielded Coulomb potential mediated by a massive vector mode which may be pictured as representing the magnetic field. In the normal, high-temperature phase the vector mode decouples and the theory reduces to a pure |ψ|4 theory with a broken global U(1) symmetry. The resulting massless Goldstone mode represents the photon. The phase transition between the two phases is continuous with critical exponents given by those of a superfluid with reversed temperature axis.

PHASE DIAGRAM OF THE GAUGE INVARIANT TWO SPECIES ISING MODEL

1996 ◽  
Vol 10 (01n02) ◽  
pp. 31-39
Author(s):  
GIUSEPPE GONNELLA ◽  
SEBASTIANO STRAMAGLIA
Keyword(s):  
Phase Diagram ◽  
Ising Model ◽  
Gauge Coupling ◽  
Gauge Model ◽  
Gauge Invariant ◽  
Coupling Loop ◽  
Ising Spins

We study the phase diagram of a Z(2) Higgs-gauge model with two species of Ising matter in D=2 and D=3. Differently from the case with only one Ising species, this model exhibits a transition also at zero gauge coupling. Loop expansions and mappings on the 8-vertex and the Ashkin–Teller models are used to study the nature of the transitions in the extreme regions of the phase diagram. Relevant differences with respect to the case of one species of Ising spins are found.

Formation of high temperature phase in flash-evaporated SnSe films

1990 ◽  
Vol 48 (4) ◽  
pp. 698-699
Author(s):  
J.P.S. Hanjra
Keyword(s):  
Thin Films ◽  
Electrical Properties ◽  
Energy Gap ◽  
Dominant Role ◽  
Fine Powder ◽  
High Temperature Phase ◽  
Temperature Phase ◽  
Water Mixture ◽  
Flash Evaporation ◽  
Photovoltaic Applications

Tin mono selenide (SnSe) with an energy gap of about 1 eV is a potential material for photovoltaic applications. Various authors have studied the structure, electronic and photoelectronic properties of thin films of SnSe grown by various deposition techniques. However, for practical photovoltaic junctions the electrical properties of SnSe films need improvement. We have carried out investigations into the properties of flash evaporated SnSe films. In this paper we report our results on the structure, which plays a dominant role on the electrical properties of thin films by TEM, SEM, and electron diffraction (ED).Thin films of SnSe were deposited by flash evaporation of SnSe fine powder prepared from high purity Sn and Se, onto glass, mica and KCl substrates in a vacuum of 2Ø micro Torr. A 15% HF + 2Ø% HNO3 solution was used to detach SnSe film from the glass and mica substrates whereas the film deposited on KCl substrate was floated over an ethanol water mixture by dissolution of KCl. The floating films were picked up on the grids for their EM analysis.

Structural Study of TlH2PO4 and TlD2PO4 in the High Temperature Phase

1995 ◽  
Vol 5 (7) ◽  
pp. 763-769 ◽  
Author(s):  
S. Rios ◽  
W. Paulus ◽  
A. Cousson ◽  
M. Quilichini ◽  
G. Heger ◽  
...  
Keyword(s):  
High Temperature ◽  
Structural Study ◽  
High Temperature Phase ◽  
Temperature Phase

LATTICE DYNAMICS CALCULATIONS FOR SOLID BIPHENYL IN THE HIGH TEMPERATURE PHASE

1981 ◽  
Vol 42 (C6) ◽  
pp. C6-599-C6-601 ◽  
Author(s):  
T. Wasiutynski ◽  
I. Natkaniec ◽  
A. I. Belushkin
Keyword(s):  
High Temperature ◽  
Lattice Dynamics ◽  
High Temperature Phase ◽  
Temperature Phase

High temperature phase transitions and proton conductivity in some kdp-family crystals

1989 ◽  
Vol 100 (1) ◽  
pp. 135-141 ◽  
Author(s):  
A. I. Baranov ◽  
V. P. Khiznichenko ◽  
L. A. Shuvalov
Keyword(s):  
Phase Transitions ◽  
High Temperature ◽  
Proton Conductivity ◽  
High Temperature Phase ◽  
Temperature Phase

Review and characterisation of high-temperature phase change material candidates between 500 C and 700°C

2021 ◽  
Vol 150 ◽  
pp. 111528
Author(s):  
Ming Liu ◽  
Ehsan Shamil Omaraa ◽  
Jia Qi ◽  
Pegah Haseli ◽  
Jumal Ibrahim ◽  
...  
Keyword(s):  
High Temperature ◽  
Phase Change ◽  
Phase Change Material ◽  
High Temperature Phase ◽  
Temperature Phase ◽  
Change Material
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