Objective
In trying to find a better approach to the Hubbard and other strongly correlated models, the Wolff model, an impurity model closely related to the Hubbard's model, was reconsidered. A simple solution of this model (and of any other impurity model) in 3 steps was proposed. Firstly, use finite temperature to eliminate the small momentum singularities. Secondly, construct a new representation of the model that associates one auxiliary fermion to each point of the spectrum of the local Green's function. Thirdly, approximate this representation with a finite number of auxiliary fermions to arbitrary precision. The outcome is a terminator dependent Hamiltonian that devises Kondo crossover without Wilson's renormalization group. Because the Hamiltonian only involves a small number of fermions, one has reduced the Kondo problem to the interaction of a small number of fermions.
Applications include the nuclear magnetic resonance (NMR) response of impurity systems, strongly correlated lattice models in the limit of infinite dimension, calculation of interaction between 2 impurities in a metal and an extension of this work to magnetic tunnelling microscopy seems possible.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences physical sciences theoretical physics particle physics fermions
- natural sciences physical sciences optics microscopy
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Programme(s)
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Multi-annual funding programmes that define the EU’s priorities for research and innovation.
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Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
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Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Coordinator
38042 Grenoble
France
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