Diagrammatic Quantum Monte Carlo solution of the two-dimensional Cooperon-Fermion model

Abstract

We investigate the two-dimensional cooperon-fermion model in the correlated regime with a new continuous-time diagrammatic determinant quantum Monte Carlo (DDQMC) algorithm. We estimate the transition temperature $T_c$, examine the effectively reduced band gap and cooperon mass, and find that delocalization of the cooperons enhances the diamagnetism. When applied to diamagnetism of the pseudogap phase in high-$T_c$ cuprates, we obtain results in a qualitative agreement with recent torque magnetization measurements.

8 pages, 11 figures

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• Flat histogram diagrammatic Monte Carlo method
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• Enhanced Josephson tunneling between high temperature superconductors through a normal pseudogap underdoped cuprate with a finite energy cooperon
• Fluctuation conductivity due to the preformed local pairs