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- W2074203721 abstract "We propose a fast and efficient approach for solving the Bogoliubov-de Gennes (BdG) equations in superconductivity, with a numerical matrix-size reduction procedure proposed by Sakurai and Sugiura [J. Comput. Appl. Math. 159, 119 (2003)]. The resultant small-size Hamiltonian contains the information of the original BdG Hamiltonian in a given energy domain. In other words, the present approach leads to a numerical construction of a low-energy effective theory in superconductivity. The combination with the polynomial expansion method allows a self-consistent calculation of the BdG equations. Through numerical calculations of quasi-particle excitations in a vortex lattice, thermal conductivity, and nuclear magnetic relaxation rate, we show that our approach is suitable for evaluating physical quantities in a large-size superconductor and a nano-scale superconducting device, with the mean-field superconducting theory." @default.
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- W2074203721 date "2013-09-15" @default.
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- W2074203721 title "Numerical Construction of a Low-Energy Effective Hamiltonian in a Self-Consistent Bogoliubov–de Gennes Approach of Superconductivity" @default.
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- W2074203721 doi "https://doi.org/10.7566/jpsj.82.094701" @default.
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