Effects of bond alternation and the Dzyaloshinskii-Moriya interaction on the ground-state phase diagram of the Ising model

2013 ◽  
Vol 86 (5) ◽  
Author(s):  
Guang-Hua Liu ◽  
Wei Li ◽  
Wen-Long You ◽  
Gang Su ◽  
Guang-Shan Tian
Keyword(s):  
Phase Diagram ◽  
Ising Model ◽  
Ground State ◽  
Ground State Phase Diagram ◽  
Bond Alternation ◽  
Moriya Interaction

scholarly journals Ground-State Phase Diagram of the Extended Ising Model on the Shastry-Sutherland Lattice

2014 ◽  
Vol 126 (1) ◽  
pp. 46-47 ◽  
Author(s):  
H. Čenčariková ◽  
P. Farkašovský ◽  
P. Puchala
Keyword(s):  
Phase Diagram ◽  
Ising Model ◽  
Ground State ◽  
Ground State Phase Diagram

scholarly journals Heisenberg Model with Added Dzyaloshinskii-Moria Interaction

2011 ◽  
Vol 2011 ◽  
pp. 1-6
Author(s):  
M. R. Soltani ◽  
J. Vahedi ◽  
M. R. Abolhassani ◽  
A. A. Masoudi
Keyword(s):  
Magnetic Field ◽  
Phase Diagram ◽  
Phase Transitions ◽  
Magnetic Fields ◽  
Ground State ◽  
Heisenberg Model ◽  
Uniform Magnetic Field ◽  
Quantum Phase Transitions ◽  
Ground State Phase Diagram ◽  
Moriya Interaction

We have considered the 1D spin-(1/2) Heisenberg model with added Dzyaloshinskii-Moriya interaction. The effect of a uniform magnetic field on the ground state phase diagram of the model is studied. We have mapped the model to an effective model which is known as the 1D XXZ in both uniform and staggered magnetic fields. By selecting a block of two or three spins, we have solved the Hamiltonian exactly. Our results show that the quantum phase transitions can be obtained from the block of pair or three spins.

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