Global phase diagram of the high-Tc cuprates

Han-Dong Chen, Sylvain Capponi, Fabien Alet, and Shou-Cheng Zhang
Phys. Rev. B 70, 024516 – Published 26 July 2004

Abstract

The high-Tc cuprates have a complex phase diagram with many competing phases. We propose a bosonic effective quantum Hamiltonian based on the projected SO(5) model with extended interactions, which can be derived from the microscopic models of the cuprates. The global phase diagram of this model is obtained using mean-field theory and the quantum Monte Carlo simulation, which is possible because of the absence of the minus sign problem. We show that this single quantum model can account for most salient features observed in the high-Tc cuprates, with different families of the cuprates attributed to different traces in the global phase diagram. Experimental consequences are discussed and theoretical predictions are presented.

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  • Received 27 December 2003

DOI:https://doi.org/10.1103/PhysRevB.70.024516

©2004 American Physical Society

Authors & Affiliations

Han-Dong Chen

  • Department of Applied Physics, McCullough Building, Stanford University, Stanford, California 94305-4045, USA

Sylvain Capponi

  • Laboratoire de Physique Théorique UMR 5152, Université Paul Sabatier, 118 Route de Narbonne, 31062 Toulouse, France and Department of Physics, McCullough Building, Stanford University, Stanford, California 94305-4045, USA

Fabien Alet

  • Theoretische Physik, ETH Zürich, CH-8093 Zürich, Switzerland and Computational Laboratory, ETH Zürich, CH-8092 Zürich, Switzerland

Shou-Cheng Zhang

  • Department of Physics, McCullough Building, Stanford University, Stanford, California 94305-4045, USA

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Issue

Vol. 70, Iss. 2 — 1 July 2004

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