Dynamical Cluster Approximation Plus Semiclassical Approximation for a
Mott Insulator and d-Wave Pairing
J. Korean Phy. Soc. 2017; 70: 1049~1053
Published online June 30, 2017 © 2017 The Korean Physical Society.


Department of General Studies, Kangwon National University, Samcheok 25913, Korea
Correspondence to: Hunpyo Lee
Received April 24, 2017; Revised May 2, 2017
Abstract

The solution of the doped Hubbard model on the two-dimension, which can account for the origin of high temperature superconductivity, still remains to be uncompleted, because of the computational limitation of exact numerical tools. Therefore, the development of reliable and fast numerical tools is highly desirable. Here, we developed the dynamical cluster approximation plus semiclassical approximation (DCA+SCA) tool with a cluster Nambu basis. We studied the doped two-dimensional Hubbard model via the method, and obtained a plaquette antiferromagnetic (AF) Mott insulator, a plaquette AF ordered metal, a pseudogap (or d-wave superconductor) and a paramagnetic metal by tuning the doping concentration. These features are similar to the behaviors observed in copper-oxide superconductors and are in qualitative agreement with the results calculated by the cluster dynamical mean field theory with the continuous-time quantum Monte Carlo (CDMFT+CTQMC) approach. Our approach is beyond the CDMFT+CTQMC in some ways, because the semiclassical tool can manage long-range spatial fluctuations within a feasible computational time. We believe that our future DCA+SCA calculations should supply information on the fully momentum-resolved physical properties, which could be compared with the results measured by angle-resolved photoemission spectroscopy experiments.

Keywords: Hubbard model, Superconductivity, Dynamical cluster approximation


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