Renormalization group method based on the ionization energy theory

Journal Article · Tue Mar 15 00:00:00 EDT 2011 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2010.09.011· OSTI ID:21579863

Arulsamy, Andrew Das, E-mail: [e-mail] ^[1]; School of Physics, University of Sydney, Sydney, New South Wales 2006 ^[2]

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1. Jozef Stefan Institute, Jamova Cesta 39, SI-1000 Ljubljana (Slovenia)
2. (Australia)

Proofs are developed to explicitly show that the ionization energy theory is a renormalized theory, which mathematically exactly satisfies the renormalization group formalisms developed by Gell-Mann-Low, Shankar and Zinn-Justin. However, the cutoff parameter for the ionization energy theory relies on the energy-level spacing, instead of lattice point spacing in k-space. Subsequently, we apply the earlier proofs to prove that the mathematical structure of the ionization-energy dressed electron-electron screened Coulomb potential is exactly the same as the ionization-energy dressed electron-phonon interaction potential. The latter proof is proven by means of the second-order time-independent perturbation theory with the heavier effective mass condition, as required by the electron-electron screened Coulomb potential. The outcome of this proof is that we can derive the heat capacity and the Debye frequency as a function of ionization energy, which can be applied in strongly correlated matter and nanostructures.

• OSTI ID: 21579863
• Journal Information: Annals of Physics (New York), Vol. 326, Issue 3; Other Information: DOI: 10.1016/j.aop.2010.09.011; PII: S0003-4916(10)00174-0; Copyright (c) 2010 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COULOMB FIELD
DIELECTRIC MATERIALS
EFFECTIVE MASS
ELECTRON-PHONON COUPLING
ELECTRONS
ENERGY LEVELS
GROUP THEORY
IONIZATION
MATTER
NANOSTRUCTURES
PERTURBATION THEORY
PHASE TRANSFORMATIONS
POTENTIALS
RENORMALIZATION
SPECIFIC HEAT
COUPLING
ELECTRIC FIELDS
ELEMENTARY PARTICLES
FERMIONS
LEPTONS
MASS
MATERIALS
MATHEMATICS
PHYSICAL PROPERTIES
THERMODYNAMIC PROPERTIES