Fermionic Sherrington-Kirkpatrick models with Hubbard interaction: Magnetism and electronic structure
نویسندگان
چکیده
منابع مشابه
The Sherrington-Kirkpatrick model
The Sherrington-Kirkpatrick (SK) model was introduced by David Sherrington and Scott Kirkpatrick in 1975 as a simple ‘solvable’ (in their words) model for spin-glasses. Spin-glasses are some type of magnetic alloys, and ‘solvable’ meant that the asymptotic free entropy density could be computed exactly. It turns out that the original SK solution was incorrect and in fact inconsistent (the autho...
متن کاملSquared interaction matrix Sherrington-Kirkpatrick model for a spin glass
The mean-field theory of a spin glass with a specific form of nearestand next-nearest-neighbor interactions is investigated. Depending on the sign of the interaction matrix chosen we find either the continuous replica symmetry breaking seen in the Sherrington-Kirkpartick model or a one-step solution similar to that found in structural glasses. Our results are confirmed by numerical simulations ...
متن کاملBeyond the Sherrington-kirkpatrick Model
The state of art in spin glass field theory is reviewed. We start from an Edwards-Anderson-type model in finite dimensions, with finite but long range forces, construct the effective field theory that allows one to extract the long wavelength behaviour of the model, and set up an expansion scheme (the loop expansion) in the inverse range of the interaction. At the zeroth order we recover mean f...
متن کاملSherrington-Kirkpatrick spin glass model
In a region above the Almeida-Thouless line, where we are able to control the thermodynamic limit of the Sherrington-Kirkpatrick model and to prove replica symmetry, we show that the fluctuations of the overlaps and of the free energy are Gaussian, on the scale 1/ √ N , for N large. The method we employ is based on the idea, we recently developed, of introducing quadratic coupling between two r...
متن کاملGeneralized Sherrington-Kirkpatrick glass without reflection symmetry.
We investigate generalized Sherrington-Kirkpatrick glassy systems without reflection symmetry. In the neighborhood of the transition temperature, we, in general, uncover the structure of the glass state building the full-replica-symmetry-breaking solution. A physical example of the explicitly constructed solution is given.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review B
سال: 2003
ISSN: 0163-1829,1095-3795
DOI: 10.1103/physrevb.67.245111