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Trimer-Monomer Mixture Problem on (111) 1 x 1 Surface of Diamond Structure
Author(s) -
Noriko Akutsu,
Y. Akutsu
Publication year - 2001
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.105.123
Subject(s) - trimer , diamond cubic , diamond , physics , transfer matrix , square lattice , hexagonal lattice , monomer , lattice (music) , vertex (graph theory) , density matrix , surface (topology) , adsorption , crystal structure , molecular physics , combinatorics , statistical physics , condensed matter physics , crystallography , quantum mechanics , dimer , chemistry , geometry , polymer , materials science , mathematics , ising model , graph , computer science , acoustics , quantum , antiferromagnetism , computer vision , nuclear magnetic resonance , composite material
We consider a system of trimers and monomers on the triangular lattice, whichdescribes the adsorption problem on (111) $1 \times 1$ surface of diamondstructure. We give a mapping to a 3-state vertex model on the square lattice.We treat the problem by the transfer-matrix method combined with thedensity-matrix algorithm, to obtain thermodynamic quantities.

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