scholarly journals A tensor network study of the complete ground state phase diagram of the spin-1 bilinear-biquadratic Heisenberg model on the square lattice

2017 ◽  
Vol 3 (4) ◽  
Author(s):  
Ido Niesen ◽  
Philippe Corboz
Keyword(s):  
Phase Diagram ◽  
Phase Transitions ◽  
Thermodynamic Limit ◽  
Ground State ◽  
Heisenberg Model ◽  
Magnetic Phase ◽  
Square Lattice ◽  
Ground State Phase Diagram ◽  
Tensor Network

Using infinite projected entangled pair states, we study the ground state phase diagram of the spin-1 bilinear-biquadratic Heisenberg model on the square lattice directly in the thermodynamic limit. We find an unexpected partially nematic partially magnetic phase in between the antiferroquadrupolar and ferromagnetic regions. Furthermore, we describe all observed phases and discuss the nature of the phase transitions involved.

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.

The ground state phase diagram of the quantumJ1–J2spin-1/2 Heisenberg antiferromagnet on an anisotropic square lattice

2010 ◽  
Vol 2010 (06) ◽  
pp. P06022 ◽  
Author(s):  
Griffith Mendonça ◽  
Rodrigo Lapa ◽  
J Ricardo de Sousa ◽  
Minos A Neto ◽  
Kingshuk Majumdar ◽  
...  
Keyword(s):  
Phase Diagram ◽  
Ground State ◽  
Square Lattice ◽  
Heisenberg Antiferromagnet ◽  
Ground State Phase Diagram
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