scholarly journals Magnetic field driven transition between valence bond solid and antiferromagnetic order in a distorted triangular lattice

2021 ◽  
Vol 3 (2) ◽  
Author(s):  
Yasuhiro Shimizu ◽  
Mitsuhiko Maesato ◽  
Makoto Yoshida ◽  
Masashi Takigawa ◽  
Masayuki Itoh ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Triangular Lattice ◽  
Valence Bond ◽  
Antiferromagnetic Order ◽  
Valence Bond Solid

scholarly journals Mott Transition in a Valence-Bond Solid Insulator with a Triangular Lattice

2007 ◽  
Vol 99 (25) ◽  
Author(s):  
Y. Shimizu ◽  
H. Akimoto ◽  
H. Tsujii ◽  
A. Tajima ◽  
R. Kato
Keyword(s):  
Triangular Lattice ◽  
Valence Bond ◽  
Mott Transition ◽  
Solid Insulator ◽  
Valence Bond Solid

scholarly journals Quenching the Kitaev honeycomb model

2019 ◽  
Vol 7 (5) ◽  
Author(s):  
Louk Rademaker
Keyword(s):  
Phase Transition ◽  
Steady State ◽  
Time Evolution ◽  
Valence Bond ◽  
Antiferromagnetic Order ◽  
Dynamical Phase Transition ◽  
Dynamical Phase ◽  
Equilibrium Response ◽  
Valence Bond Solid ◽  
Toric Code

I studied the non-equilibrium response of an initial Néel state under time evolution with the Kitaev honeycomb model. With isotropic interactions (J_x = J_y = J_zJx=Jy=Jz) the system quickly loses its antiferromagnetic order and crosses over into a steady state valence bond solid, which can be inferred from the long-range dimer correlations. There is no signature of a dynamical phase transition. Upon including anisotropy (J_x = J_y \neq J_zJx=Jy≠Jz), an exponentially long prethermal regime appears with persistent magnetization oscillations whose period derives from an effective toric code.

Phase transitions in the Heisenberg model on a layered triangular lattice in a magnetic field

2021 ◽  
pp. 1-10
Author(s):  
Akai Murtazaev ◽  
Magomedzagir Badiev ◽  
Magomedsheykh Ramazanov ◽  
Magomed Magomedov
Keyword(s):  
Magnetic Field ◽  
Phase Transitions ◽  
Triangular Lattice ◽  
Heisenberg Model

WANG–LANDAU SIMULATION ON THERMODYNAMIC AND MAGNETIC PROPERTIES OF HONEYCOMB LATTICE

2011 ◽  
Vol 25 (26) ◽  
pp. 3435-3442
Author(s):  
XIAOYAN YAO
Keyword(s):  
Magnetic Field ◽  
Monte Carlo Simulation ◽  
Magnetic Properties ◽  
Free Energy ◽  
Magnetic Susceptibility ◽  
Magnetic Property ◽  
Ground State ◽  
Antiferromagnetic Order ◽  
Honeycomb Lattice ◽  
Antiferromagnetic Ising Model

Wang–Landau algorithm of Monte Carlo simulation is performed to understand the thermodynamic and magnetic properties of antiferromagnetic Ising model on honeycomb lattice. The internal energy, specific heat, free energy and entropy are calculated to present the thermodynamic behavior. For magnetic property, the magnetization and magnetic susceptibility are discussed at different temperature upon different magnetic field. The antiferromagnetic order is confirmed to be the ground state of the system, and it can be destroyed by a large magnetic field.

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