What is the Fermi Hubbard model?

The Fermi-Hubbard model is a key concept in condensed matter physics and provides crucial insights into electronic and magnetic properties of materials. It provides a route to simulate the physics of the Hamiltonian and to address open questions and novel challenges of the underlying many-body system.

What is Hubbard potential?

The Hubbard model is a useful approximation for particles in a periodic potential at sufficiently low temperatures, where all the particles may be assumed to be in the lowest Bloch band, and long-range interactions between the particles can be ignored. …

What is model Hamiltonian?

In quantum mechanics, the Hamiltonian of a system is an operator corresponding to the total energy of that system, including both kinetic energy and potential energy. Due to its close relation to the energy spectrum and time-evolution of a system, it is of fundamental importance in most formulations of quantum theory.

What is tight binding approximation?

In solid-state physics, the tight-binding model (or TB model) is an approach to the calculation of electronic band structure using an approximate set of wave functions based upon superposition of wave functions for isolated atoms located at each atomic site. Tight-binding models are applied to a wide variety of solids.

What are Slater Koster parameters?

Introduction. The Slater–Koster (SK)[2] parameters published by Papaconstantopoulos [1] a decade ago form tight-binding (TB) Hamiltonians that give an excellent and efficient representation of the energy bands and densities of states of most elements in the periodic table.

What are the limitations of tight binding model?

The main objection we can raise about the method is that we are trying to describe the wavefunction of the periodic solid as a combination of atomic orbitals that are eigenstates of a different Schrödinger equation with a differen potential and different boundary conditions.

What is Dirac’s Theorem?

Dirac’s theorem on Hamiltonian cycles, the statement that an n-vertex graph in which each vertex has degree at least n/2 must have a Hamiltonian cycle. Dirac’s theorem on chordal graphs, the characterization of chordal graphs as graphs in which all minimal separators are cliques.

What is the basic rule in Fleury’s algorithm?

Principle. The basic principle of Fleury’s algorithm is very simple. In order to find the Euler Path or Euler Circuit, the bridge edge should be the last edge we want to cross. This is because the bridge is the only edge connecting the two components of a graph.