THE GROUND-STATE PHASE DIAGRAMS OF THE SPIN-2 ISING MODEL

2007 ◽  
Vol 21 (31) ◽  
pp. 5265-5274 ◽  
Author(s):  
AHMET ERDİNÇ
Keyword(s):  
Magnetic Field ◽  
Ising Model ◽  
External Magnetic Field ◽  
Phase Diagrams ◽  
Crystal Field ◽  
Ground State ◽  
Exchange Interactions ◽  
Nearest Neighbors ◽  
Biquadratic Exchange ◽  
Model Hamiltonian

The ground-state phase diagrams are obtained for the spin-2 Ising model Hamiltonian with bilinear and biquadratic exchange interactions and a single-ion crystal field. The interactions are assumed to be only between nearest-neighbors. Obtained phase diagrams are presented in the (Δ,J), (K,J), (Δ/J,K/J), (Δ/|J|,K/|J|), (Δ/|K|,J/|K|), (H/J,Δ/J), (H/|J|,Δ/|J|), (H/J,K/J), and (H/|J|,K/|J|) planes where J, K, Δ, and H are the bilinear, biquadratic exchange interactions, the single-ion crystal field, and the external magnetic field, respectively. The influence of the external magnetic field on the spin configurations is investigated.

THE GROUND-STATE PHASE DIAGRAMS OF SPIN-3/2 ISING MODEL ON A FM/AFM TWO-LAYER LATTICE WITH CRYSTAL FIELD

2010 ◽  
Vol 24 (22) ◽  
pp. 2335-2343
Author(s):  
ERHAN ALBAYRAK ◽  
ALI YIGIT ◽  
TUNC CENGIZ
Keyword(s):  
Magnetic Field ◽  
Ising Model ◽  
Phase Diagrams ◽  
Coordination Number ◽  
Crystal Field ◽  
Ground State ◽  
Constant Magnetic Field

The ground-state (GS) phase diagrams of spin-3/2 Ising model for ferromagnetic/antiferromagnetic (FM/AFM) interactions on a two-layer lattice are studied under a constant magnetic field by varying the crystal field values for general coordination number q in detail. Thus, it is found that the system exhibits twenty-nine topologically different GS configurations according to their GS phase diagrams obtained in the (J2/J1, J3/qJ1) planes. As the crystal field becomes more and more negative, the remaining phase configurations in the phase diagrams include only spin ±1/2 values as expected.

scholarly journals Critical phenomena in 1D Ising model with arbitrary spin

2018 ◽  
Vol 185 ◽  
pp. 03004 ◽  
Author(s):  
Alexey Proshkin ◽  
Felix Kassan-Ogly ◽  
Alexander Zarubin ◽  
Tatyana Ponomareva ◽  
Ivan Menshikh
Keyword(s):  
Magnetic Field ◽  
Ising Model ◽  
Critical Phenomena ◽  
Exchange Interactions ◽  
Nearest Neighbors ◽  
Spin Correlation ◽  
Arbitrary Spin ◽  
Zero Temperature ◽  
Spin Correlation Function ◽  
Analytical Formulas

The aim of this work was to study critical phenomena taking place in 1D Ising model with different exchange interactions signs and arbitrary spin values in a magnetic field. Exact analytical formulas for frustration fields, zero temperature magnetization and entropy at these fields are obtained. The general behavior of pair spin correlation function with the accounting of only interactions between nearest neighbors is examined.

scholarly journals MAGNETIC PHASE DIAGRAMS OF THE GENERALIZED SPIN-ONE-HALF FALICOV–KIMBALL MODEL

2007 ◽  
Vol 21 (08) ◽  
pp. 467-474 ◽  
Author(s):  
MARTIN ŽONDA
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Phase Diagrams ◽  
Ground State ◽  
Magnetic Phase ◽  
Magnetic Ordering ◽  
Exact Diagonalization ◽  
Small Cluster ◽  
Itinerant Electrons ◽  
Zero Values

A combination of small-cluster exact-diagonalization calculations and a well-controlled approximative method is used to examine the ground-state phase diagrams of the spin-one-half Falicov–Kimball model extended by the spin-dependent on-site interaction (J) between localized spins and itinerant (d) electrons, as well as by external magnetic field (h). Both the magnetic ordering and metamagnetic transitions are analyzed as functions of h and the number of itinerant electrons (Nd) at selected J. Various magnetic superstructures including axial and diagonal spin stripes are observed for non-zero values of J and h. Moreover, it is shown that increasing h strongly stabilizes the fully and partially polarized states, while the non-polarized state is reduced.

Theory of ground-state switching in an array of magnetic nanodots by application of a short external magnetic field pulse

2013 ◽  
Vol 87 (13) ◽  
Author(s):  
Roman Verba ◽  
Vasil Tiberkevich ◽  
Konstantin Guslienko ◽  
Gennadiy Melkov ◽  
Andrei Slavin
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Ground State ◽  
Magnetic Field Pulse ◽  
Field Pulse ◽  
Magnetic Nanodots ◽  
State Switching

SPIN-SPLITTING OF THE BOUND POLARON'S GROUND STATE BINDING ENERGY INDUCED BY THE RASHBA SPIN–ORBIT INTERACTION UNDER THE PERPENDICULAR MAGNETIC FIELD

2008 ◽  
Vol 22 (12) ◽  
pp. 1923-1932
Author(s):  
JIA LIU ◽  
ZI-YU CHEN
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Binding Energy ◽  
Ground State ◽  
Spin Splitting ◽  
Perpendicular Magnetic Field ◽  
Spin Orbit ◽  
Ground State Binding Energy ◽  
Bound Polaron ◽  
Rashba Spin

The influence of a perpendicular magnetic field on a bound polaron near the interface of a polar–polar semiconductor with Rashba effect has been investigated. The material is based on a GaAs / Al x Ga 1-x As heterojunction and the Al concentration varying from 0.2 ≤ x ≤ 0.4 is the critical value below which the Al x Ga 1-x As is a direct band gap semiconductor.The external magnetic field strongly altered the ground state binding energy of the polaron and the Rashba spin–orbit (SO) interaction originating from the inversion asymmetry in the heterostructure splitting of the ground state binding energy of the bound polaron. How the ground state binding energy will be with the change of the external magnetic field, the location of a single impurity and the electron area density have been shown in this paper, taking into account the SO coupling. The contribution of the phonons are also considered. It is found that the spin-splitting states of the bound polaron are more stable, and, in the condition of weak magnetic field, the Zeeman effect can be neglected.

LANDAU LEVELS AND VERTEX OPERATIONS FOR ANYONS

1991 ◽  
Vol 06 (30) ◽  
pp. 2819-2826 ◽  
Author(s):  
GERALD V. DUNNE ◽  
ALBERTO LERDA ◽  
CARLO A. TRUGENBERGER
Keyword(s):  
Magnetic Field ◽  
Angular Momentum ◽  
External Magnetic Field ◽  
String Theory ◽  
Ground State ◽  
Correlation Functions ◽  
Landau Levels ◽  
Vertex Operators ◽  
Many Body

We construct exact many-body eigenstates of both energy and angular momentum for the N-anyon problem in an external magnetic field. We show that such states span the full ground state eigenspace and arise as correlation functions of Fubini-Veneziano vertex operators of string theory.

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