Condensed matter

Electron–phonon driven unconventional superconductivity: The role of small Fermi energies and of nonadiabatic processes

High-T_c superconductivity in cuprates challenged conventional theory by highlighting the roles of strong correlations and nonadiabatic electron–phonon interactions. This work reviews microscopic nonadiabatic theories, compares them with polaronic models, and discusses related many-body approaches.

E Cappelluti, C Grimaldi, L Pietronero, Physica C 613, 1354343 (2023)

Unconventional dc transport in Rashba electron gases

In a disordered two-dimensional electron gas with strong Rashba spin–orbit coupling, Drude’s law holds at high carrier densities but breaks down in the strong spin–orbit regime, where conductivity becomes highly dependent on spin–orbit coupling strength.

V Brosco, L Benfatto, E Cappelluti, C Grimaldi, Phys Rev Lett 116 166602 (2016)

Topological Change of the Fermi Surface in Low-Density Rashba Gases: Application to Superconductivity

In a disordered two-dimensional electron gas with strong Rashba spin–orbit coupling, Drude’s law holds at high carrier densities but breaks down in the strong spin–orbit regime, where conductivity becomes highly dependent on spin–orbit coupling strength.

E Cappelluti, C Grimaldi, F Marsiglio, Phys Rev Lett 98 167002 (2007)

Condensed matter papers

E Cappelluti, C Grimaldi, L Pietronero, Electron–phonon driven unconventional superconductivity: The role of small Fermi energies and of nonadiabatic processes, Physica C  613, 1354343 (2023)

V Brosco, C Grimaldi, E Cappelluti, L Benfatto, Two-dimensional Rashba metals: unconventional low-temperature transport properties, Journal of Physics and Chemistry of Solids  128, 152-160 (2019)

V Brosco, C Grimaldi, Anisotropy of transport in bulk Rashba metals, Phys Rev B  95 195164 (2017)

V Brosco, L Benfatto, E Cappelluti, C Grimaldi, Unconventional dc transport in Rashba electron gases, Phys Rev Lett  116 166602 (2016)

C Grimaldi, Large polaron formation induced by Rashba spin-orbit coupling, Phys Rev B  81 075306 (2010)

JLM Van Mechelen, D Van der Marel, C Grimaldi, AB Kuzmenko, NP Armitage, N Reyren, H Hagemann, II Mazin, Electron-Phonon Interaction and Charge Carrier Mass Enhancement in SrTiO3, Phys Rev Lett  100 226403 (2008)

C Grimaldi, Energy levels of a two-dimensional hydrogen atom with spin-orbit Rashba interaction, Phys Rev B  77 113308 (2008)

C Grimaldi, Weak-and strong-coupling limits of the two-dimensional Fröhlich polaron with spin-orbit Rashba interaction, Phys Rev B  77 024306 (2008)

E Cappelluti, C Grimaldi, F Marsiglio, Electron-phonon effects on spin-orbit split bands of two-dimensional systems, Phys Rev B  76 085334 (2007)^

E Cappelluti, C Grimaldi, F Marsiglio, Topological Change of the Fermi Surface in Low-Density Rashba Gases: Application to Superconductivity, Phys Rev Lett  98 167002 (2007)

E Cappelluti, C Grimaldi, F Marsiglio, Electron-phonon effects on spin-orbit split bands of two-dimensional systems
Phys Rev B  76 85334 (2007)

P Paci, M Capone, E Cappelluti, S Ciuchi, C Grimaldi, Isotope effects in the Hubbard-Holstein model within dynamical mean-field theory, Phys Rev B  74 205108 (2006)

C Grimaldi, E Cappelluti, F Marsiglio, Spin-hall conductivity in electron-phonon coupled systems, Phys Rev Lett  97 6066601 (2006)

C Grimaldi, E Cappelluti, F Marsiglio, Off-Fermi surface cancellation effects in spin-Hall conductivity of a two-dimensional Rashba electron gas, Phys Rev B  73 081303 (2006)

D Di Castro, R Khasanov, C Grimaldi, J Karpinski, SM Kazakov, R Brütsch, H Keller, Pressure effect on the magnetic penetration depth in MgB2, Phys Rev B  72 094504 (2005)

C Grimaldi, Electron spin dynamics in impure quantum wells for arbitrary spin-orbit coupling,
Phys Rev B  72 075307 (2005)

E Cappelluti, P Paci, C Grimaldi, L Pietronero, Relevance of multiband Jahn-Teller effects on the electron-phonon interaction in A3C60, Phys Rev B  72 (5), 054521 (2005)

P Paci, M Capone, E Cappelluti, S Ciuchi, C Grimaldi, L Pietronero, Polaronic and nonadiabatic phase diagram from anomalous isotope effects, Phys Rev Lett  94 036406 (2005)

P Paci, E Cappelluti, C Grimaldi, L Pietronero, S Strässler, Nonadiabatic high-Tc superconductivity in hole-doped fullerenes,
Phys Rev B 69 024507 (2004)

L Boeri, E Cappelluti, C Grimaldi, L Pietronero, Poor screening and nonadiabatic superconductivity in correlated systems,
Phys Rev B  68 214514 (2003)

E Cappelluti, S Ciuchi, C Grimaldi, L Pietronero, Band-filling effects on electron-phonon properties of normal and superconducting states, Phys Rev B  68 174509 (2003)

E Cappelluti, C Grimaldi, L Pietronero, Spin susceptibility in small Fermi energy systems: effects of nonmagnetic impurities,
Eur Phys J B  30 511 (2002)

M Botti, E Cappelluti, C Grimaldi, L Pietronero, Nonadiabatic theory of the superconducting state, Phys Rev B  66 054532 (2002)

E Cappelluti, S Ciuchi, C Grimaldi, L Pietronero, S Strässler, High Superconductivity in by Nonadiabatic Pairing,
Phys Rev Lett  88 117003 (2002)

C Grimaldi, Zeeman effects on the impurity-induced resonances in d-wave superconductors, Phys Rev B  65 094502 (2002)

C Grimaldi, Unitary limit of spin-orbit scattering in two-dimensional s- and d-wave superconductors
Phys Rev B  65 024507 (2001)

P Paci, E Cappelluti, C Grimaldi, L Pietronero, Nonadiabatic superconductivity and vertex corrections in uncorrelated systems, Phys Rev B  65 012512 (2001)

E Cappelluti, C Grimaldi, L Pietronero, Nonadiabatic Pauli susceptibility in fullerene compounds,
Phys Rev B  64 125104 (2001)

E Cappelluti, C Grimaldi, L Pietronero, S Strässler, GA Ummarino, Superconductivity of Rb3C60: breakdown of the Migdal-Eliashberg theory, Eur Phys J B  21 383 (2001)

E Cappelluti, C Grimaldi, L Pietronero, S Strässler, Nonadiabatic channels in the superconducting pairing of fullerides,
Phys Rev Lett  85 4771 (2000)

P Paci, C Grimaldi, L Pietronero, d-wave nonadiabatic superconductivity, Eur Phys J B 17 235 (2000)

C Grimaldi, Zeeman response of d-wave superconductors: Born approximation for impurity and spin-orbit scattering potentials, J Phys Cond Mat 12 1329 (2000)

C Grimaldi, Spin-orbit scattering in d-wave superconductors, EPL 48  306 (1999)

C Grimaldi, L Pietronero, Pauli susceptibility of nonadiabatic Fermi liquids, EPL 47 681 (1999)

M Scattoni, C Grimaldi, L Pietronero, Anomalous impurity effects in nonadiabatic superconductors, EPL 47 588 (1999)

C Grimaldi, L Pietronero, M Scattoni, The physical origin of the electron-phonon vertex correction, Eur Phys J B  10 247 (1999)

Nonadiabatic pairing effects for tight-binding electrons interacting with phononsA Perali, C Grimaldi, L Pietronero
Physical Review B 58 (9), 5736 (1998)

C Grimaldi, E Cappelluti, L Pietronero, Isotope effect on m* in high-Tc materials due to the breakdown of Migdal's theorem,
EPL 42 667 (1998)

M Capone, S Ciuchi, C Grimaldi, The small-polaron crossover: Comparison between exact results and vertex correction approximation, EPL  42 523 (1998)

C Grimaldi, P Fulde, Nonequilibrium superconductivity in spin-polarized superconducting tunneling junctions,
Phys Rev B 56 2751 (1997)

C Grimaldi, P Fulde, Theory of screening of the phonon-modulated spin-orbit interaction in metals, Phys Rev B  55 15523 (1997)

L Pietronero, S Strässler, C Grimaldi, Nonadiabatic superconductivity. I. Vertex corrections for the electron-phonon interactions, Phys Rev B 52 10516 (1995)

C Grimaldi, L Pietronero, S Strässler, Nonadiabatic superconductivity. II. Generalized Eliashberg equations beyond Migdal’s theorem, Phys Rev B 52 10530 (1995)

C Grimaldi, L Pietronero, S Strässler, Nonadiabatic superconductivity: electron-phonon interaction beyond Migdal's theorem,
Phys Rev Lett 75 1158 (1995)

P Benedetti, C Grimaldi, L Pietronero, G Varelogiannis, Superconductivity beyond Migdal's Theorem and High-Tc Phenomenology, EPL 28 351 (1994)


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