Phase diagram and low temperature properties of ANNNI model with biquadratic exchange interaction

1996 ◽  
Vol 46 (S4) ◽  
pp. 1915-1916 ◽  
Author(s):  
Y. Muraoka ◽  
K. Oda ◽  
T. Idogaki
Keyword(s):  
Phase Diagram ◽  
Low Temperature ◽  
Exchange Interaction ◽  
Annni Model ◽  
Biquadratic Exchange ◽  
Biquadratic Exchange Interaction

Field-Induced Phase Transition in S=1 XXZ Chain with Biquadratic Exchange Interaction

1997 ◽  
Vol 11 (30) ◽  
pp. 1295-1302 ◽  
Author(s):  
Ryutaro Sato
Keyword(s):  
Phase Transition ◽  
Exchange Interaction ◽  
Lattice Gas ◽  
Finite Size ◽  
Approximate Solutions ◽  
Biquadratic Exchange ◽  
Nested Bethe Ansatz ◽  
Xxz Chain ◽  
Biquadratic Exchange Interaction ◽  
The Magnetic Field

We study the magnetization process of the S=1 XXZ chain with biquadratic exchange interaction at zero temperature. This system can be regarded as a quantum lattice gas composed of "particles" with Sz=0, ±1. We introduce an approximate nested Bethe ansatz (ANBA) to examine the possibility of phase transition induced by the magnetic field. In the high-magnetization region σ≥σ0 for certain σ0, the ANBA gives the exact ground state energies. For σ<σ0 the ANBA gives approximate solutions. The analysis shows that a phase transition occurs at σ0 across which the magnetic susceptibility changes discontinuously. Comparing with the finite-size diagonalization, we argue that σ0 is the exact critical magnetization.

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