scholarly journals Theory of network contractor dynamics for exploring thermodynamic properties of two-dimensional quantum lattice models

2013 ◽  
Vol 88 (6) ◽  
Author(s):  
Shi-Ju Ran ◽  
Bin Xi ◽  
Tao Liu ◽  
Gang Su
Keyword(s):  
Thermodynamic Properties ◽  
Lattice Models ◽  
Two Dimensional ◽  
Quantum Lattice

scholarly journals Geometric entanglement and quantum phase transitions in two-dimensional quantum lattice models

2016 ◽  
Vol 93 (6) ◽  
Author(s):  
Qian-Qian Shi ◽  
Hong-Lei Wang ◽  
Sheng-Hao Li ◽  
Sam Young Cho ◽  
Murray T. Batchelor ◽  
...  
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Lattice Models ◽  
Quantum Phase ◽  
Two Dimensional ◽  
Quantum Lattice

scholarly journals Numerical Linked-Cluster Approach to Quantum Lattice Models

2006 ◽  
Vol 97 (18) ◽  
Author(s):  
Marcos Rigol ◽  
Tyler Bryant ◽  
Rajiv R. P. Singh
Keyword(s):  
Lattice Models ◽  
Cluster Approach ◽  
Quantum Lattice

scholarly journals On the determination of step energies. Theoretical considerations and application to an anisotropic Kossel model

2006 ◽  
Vol 39 (4) ◽  
pp. 563-570 ◽  
Author(s):  
M. A. Deij ◽  
J. H. Los ◽  
H. Meekes ◽  
E. Vlieg
Keyword(s):  
Lattice Models ◽  
Single Step ◽  
Spiral Growth ◽  
Growth Theory ◽  
Two Dimensional ◽  
Island Growth ◽  
Growth Step ◽  
Step Flow ◽  
Theoretical Considerations

Steps on surfaces are important in crystal growth theory, as the step free energy determines the two-dimensional nucleation rate, island growth, step flow and spiral growth. In this paper, it is illustrated that in general in lattice models the step energy of a single step cannot be determined directly by counting broken bonds. A new method is proposed that uses the geometry of a step together with the bonding topology, allowing for a straightforward determination of single-step energies for any case. The method is applied to an anisotropic Kossel model.

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