Properties of the t1 − t2 One-Dimensional Hubbard Model at Finite Temperature
J. Korean Phy. Soc. 2017; 71: 191~195
Published online August 14, 2017 © 2017 The Korean Physical Society.

Department of General Studies, Kangwon National University, Samcheok 25913, Korea
Correspondence to: Hunpyo Lee
Received July 4, 2017; Revised July 19, 2017
We investigated the properties of the half-filled one-dimensional t1 − t2 Hubbard model at finite temperature within a dynamical cluster approximation (DCA) approach with Nc = 24. The semiclassical approximation (SCA) method has been chosen as a quantum impurity solver. The SCA tool with a Monte Carlo (MC) update can capture long-range spatial fluctuations beyond exact numerical approaches such as exact diagonalization and quantum Monte Carlo tools, while dynamical fluctuations are freezing. We suggest novel paring MC update in the SCA tool and show good description of the frustrated one-dimensional systems at finite temperature. As former results obtained at zero temperature, we confirm not only the interaction-driven metal-insulator transition in the regions of t2 /t1 > 0.5 at low temperature, but also the commensurate-incommensurate transition by tunning t2 /t1 in the strong interaction region with U/t1 = 6. We also observe finite temperature-driven metal-insulator transition. We believe that the presented DCA+SCA approach is promising and can be applied to a variety of frustrated two- and three-dimensional interacting systems.
PACS numbers: 71.10.Fd, 71.27.+a, 71.30.+h, 71.10.Hf
Keywords: Hubbard model, Strong correlation, Dynamical cluster approximation
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