Solid State Physics Seminar: Stability of Fermion Clusters: Application to Cold Atoms and Unconventional Superconductivity

Meissner effect and supeconductivity. image courtesy of wikipedia

Meissner effect and supeconductivity. image courtesy of wikipedia

We invite you to the next Solid State Physics seminar.

When: 17 December, Wednesday at 16:30

Where: Room Beijing-1, Moscow School of Management

Title:  Stability of Fermion Clusters: Application to Cold Atoms and Unconventional Superconductivity

Speaker:  Dr. Pavel Kornilovitch, Hewlett-Packard Company, Corvallis, Oregon, USA

Abstract:

Quantum mechanical lattice models with finite-range attraction between particles have applications for unconventional superconductivity and cold atoms in optical lattices. First, arguments in favor of the existence of short-range attractive correlations in high-temperature superconductors are reviewed. Then, a specific two-dimensional model with nearest-neighbor attraction is introduced and solved for two and three fermions. The bound cluster of three fermions with total spin S = 3/2 is found to be Borromean: it exists in the absence of bound pairs. In the S = 1/2 sector, a parameter region is identified where a fermion pair repels a third fermion, which indicates stability of pairs against clustering. The paramagnetic to ferromagnetic (Nagaoka) transition is predicted in the limit of strong attraction. Finally, an anisotropic three-dimensional model is considered. The pair condensation temperature is found to be maximal at intermediate interlayer hopping.  A phase diagram is proposed and its relevance to high-temperature superconductors is discussed.

Website of the Solid State Physics Seminar: https://www.skoltech.ru/research/en/events/solid-state-physics-seminar/

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