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Mott transition in the Hubbard model on the triangular lattice
Author(s) -
Yoshioka Takuya,
Koga Akihisa,
Kawakami Norio
Publication year - 2010
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.200983020
Subject(s) - hubbard model , condensed matter physics , mott transition , transition point , physics , mott insulator , lattice (music) , hexagonal lattice , metal–insulator transition , ground state , path integral formulation , quantum mechanics , superconductivity , quantum , antiferromagnetism , mechanics , electrical resistivity and conductivity , acoustics
We investigate a metal–insulator Mott transition in the half‐filled Hubbard model on the triangular lattice. In this study, we make use of the path‐integral renormalization group method with an iteration and truncation scheme proposed recently, which allows us to access the competing ground states around the transition point. We find for a cluster with 36 sites that as the Hubbard interaction U increases, the paramagnetic metallic (PM) state undergoes a metal–insulator phase transition to a nonmagnetic insulating (NMI) state at $U_{\rm c} \sim 7.4t$ , where t is the transfer integral. A detailed analysis around the transition point shows that the Mott transition is of first order.