Finite-temperature numerical renormalization group study of the Mott transition
نویسندگان
چکیده
Wilson’s numerical renormalization group method for the calculation of dynamic properties of impurity models is generalized to investigate the effective impurity model of the dynamical mean-field theory at finite temperatures. We calculate the spectral function and self-energy for the Hubbard model on a Bethe lattice with infinite coordination number directly on the real-frequency axis and investigate the phase diagram for the Mott-Hubbard metal-insulator transition. While for T,Tc'0.02W (W: bandwidth! we find hysteresis with first-order transitions both at Uc1 ~defining the insulator to metal transition! and at Uc2 ~defining the metal to insulator transition!, at T.Tc there is a smooth crossover from metalliclike to insulatinglike solutions.
منابع مشابه
مقدمهای بر سیستمهای اسپینی کوانتمی
This manuscript is the collection of lectures given in the summer school on strongly correlated electron systems held at Isfahan university of technology, June 2007. A short overview on quantum magnetism and spin systems is presented. The numerical exact diagonalization (Lanczos) alghorithm is explained in a pedagogical ground. This is a method to get some ground state properties on finite clus...
متن کاملMott glass to superfluid transition for random bosons in two dimensions
We study the zero-temperature superfluid-insulator transition for a two-dimensional model of interacting, lattice bosons in the presence of quenched disorder and particle-hole symmetry. We follow the approach of a recent series of papers by Altman, Kafri, Polkovnikov, and Refael, in which the strong disorder renormalization group is used to study disordered bosons in one dimension. Adapting thi...
متن کاملA Mott Glass to Superfluid Transition for Random Bosons in Two Dimensions
We study the zero temperature superfluid-insulator transition for a two-dimensional model of interacting, lattice bosons in the presence of quenched disorder and particle-hole symmetry. We follow the approach of a recent series of papers by Altman, Kafri, Polkovnikov, and Refael, in which the strong disorder renormalization group is used to study disordered bosons in one dimension. Adapting thi...
متن کاملRapid Note Mott transition of the f-electron system in the periodic Anderson model with nearest neighbor hybridization
We show analytically that, under certain assumptions, the periodic Anderson model and the Hubbard model become equivalent within the dynamical mean field theory for quasiparticle weight Z → 0. A scaling relation is derived which is validated numerically using the numerical renormalization group at zero temperature and quantum Monte Carlo simulations at finite temperatures. Our results show that...
متن کاملQuantum phase transition in the two-band hubbard model.
The interaction between itinerant and Mott localized electronic states in strongly correlated materials is studied within dynamical mean field theory in combination with the numerical renormalization group method. A novel nonmagnetic zero temperature quantum phase transition is found in the bad-metallic orbital-selective Mott phase of the two-band Hubbard model, for values of the Hund's exchang...
متن کامل