Cooper pair distribution function of misaligned graphene sheets and determination of superconducting properties

High-T c superconductivity in H3S: pressure effects on the superconducting critical temperature and Cooper pair distribution function

“…The effects of pressure on T c were incorporated using the Functional Derivative Method (FDM). We present for the first time the Cooper-Pairs Distribution Functions (D cp (ω, T c )) calculated for H 3 S, following the procedure proposed by González-Pedreros et al [19].…”

Cooper Pairs Distribution function for bcc Niobium under pressure from first-principles

“…On the other hand, Struzhkin et al . 3 and one previous study 9 showed that the electron–phonon parameter , has a good correlation with the critical temperature behavior. However, ours specifically show that a small region of the whole vibrational spectrum contributes to the Cooper pair formation (Fig.…”

“…Now, the probability that a pair of electrons is coupled by a phonon with energy between and is obtained by simultaneous likelihood, summed over all electronic states, that one electron with energy interacts with the lattice and transfers to it an energy , taking the state, and a second electron with energy , by interaction with the lattice, absorbs the phonon of energy and goes to state, at the temperature , ergo: where , namely Cooper Pairs Distribution function 9 , 10 , tells us the range of vibrational spectrum where the Cooper pairs are formed. Since electrons that form the Cooper pairs are near to the Fermi level , interacting through the lattice phonons, it implies that these are into energy interval.…”

High-TC Superconductivity Originating from Interlayer Coulomb Coupling in Gate-Charged Twisted Bilayer Graphene Moiré Superlattices

“…Most importantly, the behavior reported in [2] confirms that the fundamental requirement for superconductivity in TBG is formation of a Moiré superlattice with flat electron bands. Current theoretical viewpoints on the superconductivity consider involvement of electron-phonon interactions [5][6][7][8][9][10][11][12][13][14][15][16][17][18] and novel electronic-based alternatives without phonon involvement . Works considering phonon [5][6][7][8][9][10][11] and electronic [19] interactions have predicted T C values ranging from 0.04 to 10 K. The tight-binding description of relaxed TBG near magic θ and half-filling of holes in [7] shows two types of Fermi surface sheets, located near the Moiré Brillouin zone boundary and zone center.…”

“…Current theoretical viewpoints on the superconductivity consider involvement of electron-phonon interactions [5][6][7][8][9][10][11][12][13][14][15][16][17][18] and novel electronic-based alternatives without phonon involvement . Works considering phonon [5][6][7][8][9][10][11] and electronic [19] interactions have predicted T C values ranging from 0.04 to 10 K. The tight-binding description of relaxed TBG near magic θ and half-filling of holes in [7] shows two types of Fermi surface sheets, located near the Moiré Brillouin zone boundary and zone center. Electrostatic effects in electronelectron interactions within low-energy bands are shown to be favorable for superconductivity in only one type of Fermi pocket [28].…”