Dresden 2020 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 14: Superconductivity: Theory 1

TT 14.2: Vortrag

Montag, 16. März 2020, 15:30–15:45, HSZ 204

Electron-lattice coupling and the superconductivity in hydrogen-rich systems — •Andrzej P. Kadzielawa1,2, Andrzej Biborski3, and Jozef Spalek21IT4Innovations, Vysoka skola banska - Technicka univerzita Ostrava, Ostrava, 17. listopadu 15/2172, 708 33 Ostrava-Poruba, Czech Republic — 2Instyut Fizyki im. Mariana Smoluchowskiego, Uniwersytet Jagielloński, ulica Łojasiewicza 11, 30-348 Kraków, Poland — 3Akademickie Centrum Materiałów i Nanotechnologii, AGH Akademia Górniczo-Hutnicza, Al. Mickiewicza 30, 30-059 Kraków, Poland

Recent development in the high-pressure physics provides us with a new class of the superconducting materials, namely with the hydrogen-rich materials, such as hydrogen sulphide (Tc = 203 K @ 150 GPa) or hydrogen lanthanide (Tc = 274−286 K @ 210 GPa).

We will discuss the versatility of the molecular-to-atomic transitions in one-, two-, and quasi-three-dimensional hydrogen systems, using our own original approach - the Exact Diagonalization Ab-Initio (EDABI) method. Starting from the extended Hubbard model, we examine an electron-correlation-driven conductivity connected with the creation of high-symmetry hydrogen molecular and atomic planes, as well as a series of both structural and electronic-in-nature quantum phase transitions. We obtain an effective electron-phonon Hamiltonian for which we estimate both the zero-point motion of the lattice ions, as well as of the electron-lattice coupling. Next, by using the McMillan formula we estimate the superconducting transition temperature versus the effective pressure (external and/or chemical).

We acknowledge the support of Grant Agency of the Czech Republic (GAČR) No. 20-18392S and the National Science Centre (NCN) grant OPUS, No. UMO-2018/29/B/ST3/02646.

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