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Theoretical Study of Specific Heat,Density of States,Free Energy,and Critical Field of High Temperature Cuprate Superconductors Based on Intra and Interlayer Interactions
Authors:Arvind Kashyap  S. C. Tiwari  Anil Surana  R. K. Paliwal  S. L. Kakani
Affiliation:(1) Department of Physics, M.L.V. Government College, Bhilwara, 311001, Rajasthan, India;(2) Department of Physics, S.M.M. Government Girls College, Bhilwara, 311001, Rajasthan, India;(3) Department of Physics, Shri Nathji College of Engineering and Technology, Nathdwara, Rajasthan, India;(4) Institute of Technology and Management, NH 79, Bhilwara Chittor By-Pass, Chittor Road, Bhilwara, 311001, Rajasthan, India
Abstract:The role of attractive interlayer and intralayer interactions in layered high T c cuprate superconductors have been investigated using a one-band two layer tight binding Hamiltonian. Self-consistent equations for the superconducting order parameter (Δ) and critical temperature (T c ) are derived using double time Green’s functions and equation of motion method. The expression for excitonic type correlation (γ c ), specific heat, density of states, free energy, and critical field are obtained. The interlayer interactions play an important role in the enhancement of T c in layered high T c cuprates. The oxygen isotope effect is also analyzed. The agreement between theoretical and experimental results for the system YBa2−x La x Cu3O7 (0≤x≤0.5) is quite satisfactory.
Keywords:Green’  s functions  Interlayer interaction  Intralayer interaction  Cooper pair  Isotope effect  Specific heat  Density of states
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