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AbstractAbstract
[en] Full text: We employ the weak-coupling renormalization group approach to study unconventional superconducting phases emerging in the extended, repulsive Hubbard model on paradigmatic two-dimensional lattices. Repulsive interactions usually lead to higher-angular momentum Cooper pairing. By considering not only longer-ranged hoppings, but also non-local electron-electron interactions, we are able to find superconducting solutions for all irreducible representations on the square and hexagonal lattices, including extended regions of chiral topological superconductivity. For paradigmatic 2D lattices, we provide detailed superconducting phase diagrams as well as the coupling strengths which quantify the corresponding critical temperatures depending on the band structure parameters, band filling, and interaction parameters. We discuss the sensitivity of the method with respect to the numerical resolution of the integration grid and show how to efficiently reach a high numerical accuracy. One of our future goals is to study spin orbit coupled superconductors and thus the properties of the superconducting states that may arise in doped topological insulators and Weyl semimetals.
Source
Rachel, Stephan; McCallum, Jeff (School of Physics, University of Melbourne, Parkville, NSW (Australia)); Karel, Julie (Materials Science and Engineering, Monash University, Clayton, VIC (Australia)); Parish, Meera (School of Physics and Astronomy, Monash University, Clayton, VIC (Australia)); The Australian Institute of Physics, North Melbourne, VIC (Australia); New Zealand Institute of Physics (New Zealand); 96 p; Feb 2019; p. 74; 43. Annual condensed matter and materials meeting; Wagga Wagga, NSW (Australia); 5-8 Feb 2019; Available online from: http://aip.org.au/annual-cmm-meetings/; Also available online from: https://aip.org.au/wp-content/uploads/cmm/2019/Wagga_2019_Conference_Handbook.pdf; Abstract only, full text entered in this record, 1 ref.
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