Phase diagram of Ising model (S=1) with easy-plane anisotropy in a magnetic field

1998 ◽  
Vol 24 (9) ◽  
pp. 652-657 ◽  
Author(s):  
A. A. Loginov ◽  
Yu. V. Pereverzev
Keyword(s):  
Magnetic Field ◽  
Phase Diagram ◽  
Ising Model ◽  
Easy Plane ◽  
Plane Anisotropy

scholarly journals Entanglement perturbation theory for infinite quasi-1D quantum systems

2015 ◽  
Vol 29 (07) ◽  
pp. 1550042 ◽  
Author(s):  
Lihua Wang ◽  
Sung Gong Chung
Keyword(s):  
Phase Diagram ◽  
Perturbation Theory ◽  
Nearest Neighbor ◽  
Quantum Systems ◽  
Easy Plane ◽  
Heisenberg Chain ◽  
The Third ◽  
Plane Anisotropy ◽  
Improved Accuracy

We develop entanglement perturbation theory (EPT) for infinite Quasi-1D quantum systems. The spin-1/2 Heisenberg chain with ferromagnetic nearest neighbor (NN) and antiferromagnetic next nearest neighbor (NNN) interactions with an easy-plane anisotropy is studied as a prototypical system. The obtained phase diagram is compared with a recent prediction [Phys. Rev. B 81, 094430 (2010)] that dimer and Néel orders appear alternately as the XXZ anisotropy Δ approaches the isotropic limit Δ = 1. The first and second transitions (across dimer, Néel and dimer phases) are detected with improved accuracy at Δ ≈ 0.722 and 0.930. The third transition (from dimer to Néel phases), previously predicted to be at Δ ≈ 0.98, is not detected at this Δ in our method, strongly indicating that the second Néel phase is absent.

scholarly journals Quantum magnets with large single-ion easy-plane anisotropy in magnetic field

JETP Letters ◽  
2011 ◽  
Vol 94 (8) ◽  
pp. 665-670 ◽  
Author(s):  
A. V. Sizanov ◽  
A. V. Syromyatnikov
Keyword(s):  
Magnetic Field ◽  
Easy Plane ◽  
Quantum Magnets ◽  
Plane Anisotropy

Phase Transition in 2D Anisotropic Ising Model with Next-Nearest Neighbor Interactions in a Magnetic Field

SPIN ◽  
2018 ◽  
Vol 08 (03) ◽  
pp. 1850010
Author(s):  
D. Farsal ◽  
M. Badia ◽  
M. Bennai
Keyword(s):  
Magnetic Field ◽  
Phase Transition ◽  
Phase Diagram ◽  
Monte Carlo ◽  
Magnetic Susceptibility ◽  
Critical Temperature ◽  
Ising Model ◽  
Nearest Neighbor ◽  
Two Dimensional ◽  
The Magnetic Field

The critical behavior at the phase transition of the ferromagnetic two-dimensional anisotropic Ising model with next-nearest neighbor (NNN) couplings in the presence of the field is determined using mainly Monte Carlo (MC) method. This method is used to investigate the phase diagram of the model and to verify the existence of a divergence at null temperature which often appears in two-dimensional systems. We analyze also the influence of the report of the NNN interactions [Formula: see text] and the magnetic field [Formula: see text] on the critical temperature of the system, and we show that the critical temperature depends on the magnetic field for positive values of the interaction. Finally, we have investigated other thermodynamical qualities such as the magnetic susceptibility [Formula: see text]. It has been shown that their thermal behavior depends qualitatively and quantitatively on the strength of NNN interactions and the magnetic field.

scholarly journals Dynamics of field-induced phases in spin-1 antifferomagnetic chains

2014 ◽  
Author(s):  
Χριστίνα Ψαρουδάκη
Keyword(s):  
Magnetic Field ◽  
Electron Spin Resonance ◽  
Theoretical Analysis ◽  
Electron Spin ◽  
Thermal Transport ◽  
Easy Plane ◽  
Xxz Model ◽  
Plane Anisotropy ◽  
Wide Range ◽  
Spin Resonance

This thesis is devoted to the study of a class of antifferomagnetic spin–1 chains with astrong easy plane anisotropy in the presence of magnetic field H. At zero temperature thesystem undergoes two quantum phase transitions at critical fields H1 and H2. Reliableand detailed theoretical analysis is provided on the Electron Spin Resonance (ESR)spectrum, thermodynamics and the thermal transport of the model. The tools at handrange from exact analytical solutions and to numerical simulation techniques. The S = 1antiferromagnet in a magnetic field can be systematically mapped onto an S = 1/2XXZ chain in a longitudinal magnetic field. This effective S = 1/2 description has beenextensively used in order to gain a better physical understanding of the original S = 1chain.For the Electron Spin Resonance spectrum, apart from the theoretical analysis, high-field ESR experimental studies of the compound N iCl2 − 4SC(NH2)2 (abbreviatedas DTN) are presented and found consistent with theoretical predictions. The mostinteresting feature is the experimental signature of the single–ion two–magnon boundstate.Part of this thesis is devoted to the magnetic–field and temperature dependence ofmagnetization and specific heat for the whole field–region and a wide range of temperatures,with special emphasis at the critical behaviour of these quantities at the criticalfields. Finally, the calculation of dynamic correlation functions pertinent to the studyof thermal transport is addressed for the S = 1 model with easy plane anisotropy andthe S = 1/2 XXZ model in the presence of finite magnetic field.

Phase diagram of the Ising Model on a Cayley tree in the presence of competing interactions and magnetic field

1985 ◽  
Vol 40 (3-4) ◽  
pp. 577-592 ◽  
Author(s):  
Ananias M. Mariz ◽  
Constantino Tsallis ◽  
E. L. Albuquerque
Keyword(s):  
Magnetic Field ◽  
Phase Diagram ◽  
Ising Model ◽  
Cayley Tree ◽  
Competing Interactions
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