Erratum: Frustrated classical Heisenberg model in one dimension with nearest-neighbor biquadratic exchange: Exact solution for the ground-state phase diagram [Phys. Rev. B80, 012407 (2009)]

2009 ◽  
Vol 80 (22) ◽  
Author(s):  
T. A. Kaplan
Keyword(s):  
Phase Diagram ◽  
Exact Solution ◽  
Ground State ◽  
Heisenberg Model ◽  
Nearest Neighbor ◽  
One Dimension ◽  
Ground State Phase Diagram ◽  
Biquadratic Exchange ◽  
Classical Heisenberg Model

THEORETICAL ANALYSIS OF ADSORBATE-INDUCED ROW-TYPE ALIGNMENTS ON THE FCC(110) SURFACE

1999 ◽  
Vol 06 (05) ◽  
pp. 699-704 ◽  
Author(s):  
K. YASUTANI ◽  
M. KABURAGI ◽  
M. KANG
Keyword(s):  
Phase Diagram ◽  
Theoretical Analysis ◽  
Ground State ◽  
Nearest Neighbor ◽  
Comparison Method ◽  
Model Structure ◽  
Two Dimensional ◽  
Ground State Phase Diagram ◽  
Interaction Regime ◽  
Beg Model

The structures of adsorbate-induced row-type alignments of the FCC(110) surface are analyzed using the two-dimensional Blume–Emmery–Griffiths (BEG) model with the nearest-neighbor (NN) and the next-nearest-neighbor (NNN) interactions. The ground state phase diagram in whole regimes of interactions is determined by the energy comparison method. Comparing the results of ground state analysis with experimentally observed structures of the O/Rh(110) and O/Pd(110), we determine the interaction regimes for these systems. From the thus determined interaction regime, we propose the model structure in the c(2 × 6) phase of the O/Pd(110).

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 Ground state phase diagram of the Kitaev-Heisenberg model on a honeycomb-triangular lattice

2018 ◽  
Vol 98 (5) ◽  
Author(s):  
Masanori Kishimoto ◽  
Katsuhiro Morita ◽  
Yukihiro Matsubayashi ◽  
Shigetoshi Sota ◽  
Seiji Yunoki ◽  
...  
Keyword(s):  
Phase Diagram ◽  
Triangular Lattice ◽  
Ground State ◽  
Heisenberg Model ◽  
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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