Korringa realized that his equations could be used to calculate the electronic states of non-periodic solids for which Bloch’s theorem does not hold. In 1958 he published an approach, now called the average t-matrix approximation, for calculating the electronic states in random substitutional alloys.[8] That work continued to evolve and was later connected to the higher-level theory called the Coherent Potential Approximation (CPA). Balázs Győrffy and Malcolm Stocks[9] combined it with the KKR theory to obtain the KKR–CPA method, which is presently used for alloy calculations.[10] Korringa’s MST is the basis for numerous theoretical developments, including the locally self-consistent multiple scattering theory developed by Malcolm Stocks and Yang Wang that can be used to obtain the electronic and magnetic states of any ordered or disordered solid.[11]
In 1950, Korringa showed that the spin relaxation rate divided by the square of the magnetic resonance field shift (the Knight shift) obtained from an NMR experiment is equal to a constant, κ, times the temperature T.[12] The magnitude of the Korringa constant κ and its possible deviation from a constant value is the signature of the effects of strong correlations in the electron gas.
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J. S. Faulkner; Harold L. Davis; H. W. Joy (1967). "Calculation of Constant-Energy Surfaces for Copper by the Korringa-Kohn-Rostoker Method". Physical Review. 161 (3): 656–664. Bibcode:1967PhRv..161..656F. doi:10.1103/PhysRev.161.656.
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J. Korringa (1958). "Dispersion theory for electrons in a random lattice with applications to the electronic structure of alloys". Journal of Physics and Chemistry of Solids. 7 (2–3): 252–258. Bibcode:1958JPCS....7..252K. doi:10.1016/0022-3697(58)90270-1.
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G. M. Stocks; W. M. Temmerman; B. L. Gyorffy (1978). "Complete Solution of the Korringa-Kohn-Rostoker Coherent-Potential-Approximation Equations: Cu-Ni Alloys". Physical Review Letters. 41 (5): 339–343. Bibcode:1978PhRvL..41..339S. doi:10.1103/PhysRevLett.41.339.
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Yang Wang; G. M. Stocks; W. A. Shelton; D. M. C. Nicholson; Z. Szotek; W. M. Temmerman (1995). "Order-N Multiple Scattering Approach to Electronic Structure Calculations". Physical Review Letters. 75 (15): 2867–2870. Bibcode:1995PhRvL..75.2867W. doi:10.1103/PhysRevLett.75.2867. PMID10059425.