The Kronig-Penney model extended to arbitrary potentials via numerical matrix mechanics

RL Pavelich, F Marsiglio - American Journal of Physics, 2015 - pubs.aip.org
The Kronig-Penney model is a common starting point for studying the quantum mechanics of
electrons in a confining periodic potential. This model uses a square-well potential; the …

Understanding electron-doped cuprate superconductors as hole superconductors

JE Hirsch, F Marsiglio - Physica C: Superconductivity and its Applications, 2019 - Elsevier
Since their experimental discovery in 1989, the electron-doped cuprate superconductors
have presented both a major challenge and a major opportunity. The major challenge has …

Emergence and characterization of attraction in a dynamic Hubbard model

F Doǧan - Scientific Reports, 2024 - nature.com
Abstract The Dynamic Hubbard Model (DHM) has been introduced as a framework for the
electron-hole asymmetry observed in materials like high-temperature superconductors. In …

The spectral decomposition of the helium atom two-electron configuration in terms of hydrogenic orbitals

J Hutchinson, M Baker, F Marsiglio - European Journal of …, 2012 - iopscience.iop.org
The two-electron configuration in the helium atom is known to very high precision. Yet, we
tend to refer to this configuration as a 1s↑ 1s↓ singlet, where the designations refer to …

Effect of orbital relaxation on the band structure of cuprate superconductors and implications for the superconductivity mechanism

JE Hirsch - Physical Review B, 2014 - APS
Where the doped holes reside in cuprate superconductors has crucial implications for the
understanding of the mechanism responsible for their high-temperature superconductivity. It …

Charge expulsion, charge inhomogeneity, and phase separation in dynamic Hubbard models

JE Hirsch - Physical Review B—Condensed Matter and Materials …, 2013 - APS
Dynamic Hubbard models are extensions of the conventional Hubbard model that take into
account the fact that atomic orbitals expand upon double occupancy. It is shown here that …

Site-occupation Green's function embedding theory: A density functional approach to dynamical impurity solvers

L Mazouin, M Saubanère, E Fromager - Physical Review B, 2019 - APS
A reformulation of site-occupation embedding theory (SOET) in terms of Green's functions is
presented. Referred to as site-occupation Green's-function embedding theory (SOGET), this …

Dynamic Hubbard model for solids with hydrogen-like atoms

JE Hirsch - Physical Review B, 2014 - APS
We discuss how to construct a tight-binding model Hamiltonan for the simplest possible
solid, composed of hydrogen-like atoms. A single orbital per atom is not sufficient because …

Optical conductivity for a dimer in the dynamic Hubbard model

GH Bach, F Marsiglio - Physical Review B—Condensed Matter and Materials …, 2012 - APS
The dynamic Hubbard model represents the physics of a multiband Hubbard model by using
a pseudospin degree of freedom to dynamically modify the on-site Coulomb interaction …

Electron-hole asymmetry in the dynamic hubbard model

GH Bach, F Marsiglio - Journal of superconductivity and novel magnetism, 2011 - Springer
The two-site dynamical mean field theory (DMFT) is applied to the dynamic Hubbard model.
This model takes into account a correction to the Coulomb interaction due to particle double …