Commun. Comput. Phys., 10 (2011), pp. 422-432.

Double Exchange Model in Triangular Lattice Studied by Truncated Polynomial Expansion Method

Gui-Ping Zhang 1*

1 Department of Physics, Renmin University of China, Beijing 100872, China.

Received 16 April 2010; Accepted (in revised version) 24 September 2010
Available online 27 April 2011


The low temperature properties of double exchange model in triangular lattice are investigated via truncated polynomial expansion method (TPEM), which reduces the computational complexity and enables parallel computation. We found that for the half-filling case a stable 120$^{\circ}$ spin configuration phase occurs owing to the frustration of triangular lattice and is further stabilized by antiferromagnetic (AF) superexchange interaction, while a transition between a stable ferromagnetic (FM) phase and a unique flux phase with small finite-size effect is induced by AF superexchange interaction for the quarter-filling case.

AMS subject classifications: 82B05, 26C99, 65F99, 15A30

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Key words: Manganite, Monte Carlo simulation, polynomial moment expansion, triangular lattice, frustration, finite-size effect.

*Corresponding author.
Email: (G.-P. Zhang)

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