Effect of next‐nearest‐neighbor interaction in quantum Heisenberg antiferromagnetic triangular lattices (abstract)

1993 ◽  
Vol 73 (10) ◽  
pp. 5504-5504
Author(s):  
D. Loison ◽  
H. T. Diep
Keyword(s):  
Nearest Neighbor ◽  
Neighbor Interaction ◽  
Triangular Lattices

Integrable Multi-impurity Open XXZ Chain with Next-Nearest-Neighbor Interaction

1999 ◽  
Vol 16 (6) ◽  
pp. 434-436
Author(s):  
Yun-zhong Lai ◽  
Ai-zhen Zhang ◽  
Zhan-ning Hu ◽  
Jiu-qing Liang ◽  
Fu-ke Pu (Pu Fu-cho)
Keyword(s):  
Nearest Neighbor ◽  
Neighbor Interaction ◽  
Xxz Chain

Total Energy Differences Between Silicon Carbide Polytypes and their Implications for Crystal Growth

1997 ◽  
Vol 492 ◽  
Author(s):  
Sukit Llmpijumnong ◽  
Walter R. L. Lambrecht
Keyword(s):  
Silicon Carbide ◽  
Crystal Growth ◽  
Epitaxial Growth ◽  
Size Effects ◽  
Nearest Neighbor ◽  
Orbital Method ◽  
Full Potential ◽  
Neighbor Interaction ◽  
Island Size ◽  
Annni Model

ABSTRACTThe energy differences between various SiC polytypes are calculated using the full-potential linear muffin-tin orbital method and analyzed in terms of the anisotropie next nearest neighbor interaction (ANNNI) model. The fact that J1 + 2J2 < 0 with J1 > 0 implies that twin boundaries in otherwise cubic material are favorable unless twins occur as nearest neighbor layers. Contrary to some other recent calculations we find J1 > |J2|. We discuss the consequences of this for stabilization of cubic SiC in epitaxial growth, including considerations of the island size effects.

scholarly journals ENTANGLEMENT AND FRUSTRATION IN ORDERED SYSTEMS

2003 ◽  
Vol 01 (04) ◽  
pp. 465-477 ◽  
Author(s):  
MICHAEL M. WOLF ◽  
FRANK VERSTRAETE ◽  
J. IGNACIO CIRAC
Keyword(s):  
Ground State ◽  
State Energy ◽  
Nearest Neighbor ◽  
Bell Inequalities ◽  
Harmonic Oscillators ◽  
Neighbor Interaction ◽  
Gaussian States ◽  
Classical Systems ◽  
Entanglement Of Formation ◽  
Starting Point

This article reviews and extends recent results concerning entanglement and frustration in multipartite systems which have some symmetry with respect to the ordering of the particles. Starting point of the discussion are Bell inequalities: their relation to frustration in classical systems and their satisfaction for quantum states which have a symmetric extension. We then discussed how more general global symmetries of multipartite systems constrain the entanglement between two neighboring particles. We prove that maximal entanglement (measured in terms of the entanglement of formation) is always attained for the ground state of a certain nearest neighbor interaction Hamiltonian having the considered symmetry with the achievable amount of entanglement being a function of the ground state energy. Systems of Gaussian states, i.e. quantum harmonic oscillators, are investigated in more detail and the results are compared to what is known about ordered qubit systems.

Thermal conduction in a quasi-stationary one-dimensional lattice system

2019 ◽  
Vol 33 (17) ◽  
pp. 1950178
Author(s):  
Mohammad Khorrami ◽  
Amir Aghamohammadi
Keyword(s):  
Heat Transfer ◽  
Ising Model ◽  
Diffusion Equation ◽  
Thermal Conduction ◽  
Nearest Neighbor ◽  
Entropy Change ◽  
Neighbor Interaction ◽  
Dimensional Lattice ◽  
One Dimensional ◽  
Special Case

A system of nearest-neighbor interaction on a one-dimensional lattice is investigated, which has a quasi-stationary (and position-dependent) temperature profile. The rates of heat transfer and entropy change, as well as the diffusion equation for the temperature are studied. A q-state Potts model, and its special case, a two-state Ising model, are considered as an example.

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