Renormalization group method based on the ionization energy theory
arXiv:0807.0745 · doi:10.1016/j.aop.2010.09.011
Abstract
Proofs are developed to explicitly show that the ionization energy theory (IET) 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 IET relies on the energy-level spacing, instead of lattice spacing in \textbf{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.
To be published in Ann. Phys. (N.Y.)
References in corpus (16)
- High - Temperature Superconductivity in Iron Based Layered Compounds
- Critical fermi surfaces and non-fermi liquid metals
- Theory of a continuous Mott transition in two dimensions
- Quantum criticality of U(1) gauge theories with fermionic and bosonic matter in two spatial dimensions
- Renormalization group theory of nematic ordering in d-wave superconductors
- Where is the quantum critical point in the cuprate superconductors?
- Reversible carrier-type transition in gas-sensing oxides and nanostructures
- Fermi surfaces in general co-dimension and a new controlled non-trivial fixed point
- An alternative normal state c-axis resistivity model for high-Tc superconductors
- Many-body Hamiltonian with screening parameter and ionization energy
- Quantum phase transitions beyond the Landau-Ginzburg paradigm and supersymmetry
- Dual vortex theory of doped Mott insulators
- Theory of the pairbreaking superconductor-metal transition in nanowires
- On non-Fermi liquid quantum critical points in heavy fermion metals
- Non-square-well potential profile and non-blinking effect in graded CdZnSe/ZnSe nanocrystals: An ionization-energy theoretic study
- Flux Hamiltonians, Lie Algebras and Root Lattices With Minuscule Decorations
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