Integrable Anderson impurities in pseudogap systems / presented by Yahya Öz. Wuppertal, 30th November 2017
Content
- Introduction
- One-dimensional anisotropic spin-12 Heisenberg model with spin-12 impurity and modification of the density of states
- Bethe ansatz equations of the one-dimensional anisotropic spin-12 Heisenberg model with spin-12 impurity and modification of the density of states
- Thermodynamics of the of the one-dimensional anisotropic spin-12 Heisenberg model with spin-12 impurity and modification of the density of states
- Dispersion relation
- Hamiltonian
- Hamiltonian of the one-dimensional spin-12 anisotropic Heisenberg model with spin-12 impurity
- Hamiltonian of the one-dimensional spin-12 anisotropic Heisenberg model with spin-12 impurity and shifts on the horizontal and vertical lines
- Low temperature asymptotics
- Hubbard model with integrable impurity
- Bethe ansatz equations of the Hubbard model with integrable impurity
- Gibbs free energy per site of the Hubbard model with integrable impurity via thermodynamic Bethe Ansatz
- Diagonalization of the column-to-column transfer matrix of the Hubbard model
- Modified Hubbard model with integrable impurity
- Distribution density function (s)
- Free-Fermion limit for the host of the modified Hubbard model with impurity
- Low-temperature asymptotics of the modified Hubbard model with impurity
- Limit from the Hubbard model with integrable impurity to the Anderson impurity model
- Bethe ansatz equations of the Anderson impurity model
- Limit of the thermodynamical Bethe ansatz equations
- Non-linear integral equations of the Anderson impurity model
- Continuum limit of the creation and annihilation operators ck and ck
- Hamiltonian
- Ground state
- Limit from the modified Hubbard model with integrable impurity to the pseudogap Anderson impurity model
- Hamiltonian
- Non-linear integral equations of the pseudogap Anderson impurity model
- Low-temperature asymptotics
- Screening of the impurity spin in the modified Anderson impurity model
- Summary and Outlook
- Appendix
- Alternative expressions for ln0QTM() in chapter 3.3.4
- Fractional calculus for another Anderson impurity model
- Results of the Maple program for the one-dimensional isotropic spin-12 Heisenberg model with spin-12 impurity and modification of the density of states
- Maple code for the calculation of the Hamiltonian of the Anderson impurity model
- Maple code for the calculation of the Hamiltonian of the pseudogap Anderson impurity model
- References