Hopping on the Bethe lattice: Exact results for densities of states and dynamical mean-field theory
نویسندگان
چکیده
Martin Eckstein,1 Marcus Kollar,1 Krzysztof Byczuk,2 and Dieter Vollhardt1 1Theoretical Physics III, Center for Electronic Correlations and Magnetism, Institute for Physics, University of Augsburg, D-86135 Augsburg, Germany 2Institute of Theoretical Physics, Warsaw University, ul. Hoża 69, PL-00-681 Warszawa, Poland Received 29 September 2004; revised manuscript received 10 January 2005; published 30 June 2005
منابع مشابه
Mott – Hubbard Insulator in Infinite Dimensions ∗
We calculate the one-particle density of states for the Mott–Hubbard insulating phase of the Hubbard model on a Bethe lattice in the limit of infinite coordination number. We employ the Kato–Takahashi perturbation theory around the strong-coupling limit to derive the Green function. We show that the Green function for the lower Hubbard band can be expressed in terms of polynomials in the bare h...
متن کاملSe p 20 01 Mott – Hubbard Insulator in Infinite Dimensions ∗
We calculate the one-particle density of states for the Mott–Hubbard insulating phase of the Hubbard model on a Bethe lattice in the limit of infinite coordination number. We employ the Kato–Takahashi perturbation theory around the strong-coupling limit to derive the Green function. We show that the Green function for the lower Hubbard band can be expressed in terms of polynomials in the bare h...
متن کاملPhase separation in the particle-hole asymmetric Hubbard model
The paramagnetic phase diagram of the Hubbard model with nearest-neighbor and next-nearest-neighbor NNN hopping on the Bethe lattice is computed at half-filling and in the weakly doped regime using the self-energy functional approach for dynamical mean-field theory. NNN hopping breaks the particle-hole symmetry and leads to a strong asymmetry of the electron-doped and hole-doped regimes. Phase ...
متن کاملTransport functions for hypercubic and Bethe lattices
In calculations of transport quantities, such as the electrical conductivity, thermal conductivity, Seebeck, Peltier, Nernst, Ettingshausen, Righi-Leduc, or Hall coefficients, sums over the Brillouin zone of wave-vector derivatives of the dispersion relation commonly appear. When the self-energy depends only on frequency, as in single-site dynamical mean-field theory, it is advantageous to perf...
متن کاملAnalytical and Numerical Treatment of the Mott–Hubbard Insulator in Infinite Dimensions
We calculate the density of states in the half-filled Hubbard model on a Bethe lattice with infinite connectivity. Based on our analytical results to second order in t/U , we propose a new ‘Fixed-Energy Exact Diagonalization’ scheme for the numerical study of the Dynamical Mean-Field Theory. Corroborated by results from the Random Dispersion Approximation, we find that the gap opens at Uc = 4.4...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2005