A concrete realization of specific heat-phonon spectrum inversion for YBCO |
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| Institution: | 1. Group of Quantum Statistics and Method of Theoretical Physics, Department of Physics, Fudan University, Shanghai 200433, PR China;2. International Center for Theoretical Physics, Trieste, Italy;3. Department of Chemistry, New York University, New York, NY 10003, USA;1. SHU-SolarE R&D Lab, Department of Physics, College of Sciences, Shanghai University, 200444, China;2. Instrumental Analysis & Research Center, Shanghai University, 200444, China;1. Department of Physics & Applied Mathematics, Pakistan Institute of Engineering and Applied Sciences (PIEAS), Islamabad, 45650, Pakistan;2. Department of Physics, Technical University Denmark, Risø Campus, Roskilde, DK-4000, Denmark;1. Crop Protection Chemicals, Indian Institute of Chemical Technology, Hyderabad 500 007, India;2. Natural Product Chemistry, Indian Institute of Chemical Technology, Hyderabad 500 007, India;1. Karadeniz Technical University, Department of Geological Engineering, Trabzon, Turkey;2. Karadeniz Technical University, Department of Geophysical Engineering, Trabzon, Turkey;1. Dokuz Eylul University, The Graduate School of Natural and Applied Sciences, Izmir, Turkey;2. Eskisehir Osmangazi University, Mining Engineering Department, Eskisehir, Turkey;3. Dokuz Eylul University, Mining Engineering Department, Izmir, Turkey |
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| Abstract: | In this Letter, a phonon spectrum of YBCO is obtained from its experimental specific heat data by an exact inversion formula with eliminating divergence parameter Dai Xianxi, Xu Xinwen and Dai Jiqiong, Proceedings of Beijing International Conference on High Tc Superconductivity, Sept. 4–8 Beijing, China, (1989) 521], Dai Xianxi, Xu Xinwen and Dai Jiqiong, Phys. Lett. A 147 (1990) 445]. The results are comparable to that from neutron inelastic scattering. Some key points of specific heat-phonon spectrum inversion (SPI) theory as well as a method of asymptotic behavior control are discussed. An improved unique existence theorem is presented. A universal function set for the numerical calculation in SPI is obtained, which will make the inversion method applicable and convenient in practice. This is the first time to realize the specific heat-phonon spectrum inversion in a concrete system. |
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