Full-bandwidth anisotropic Migdal-Eliashberg theory and its application to superhydrides

Fuente: arXiv
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Main Authors: Lucrezi, Roman, Ferreira, Pedro P., Hajinazar, Samad, Mori, Hitoshi, Paudyal, Hari, Margine, Elena R., Heil, Christoph
Format: Preprint
Published: 2023
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author Lucrezi, Roman
Ferreira, Pedro P.
Hajinazar, Samad
Mori, Hitoshi
Paudyal, Hari
Margine, Elena R.
Heil, Christoph
author_facet Lucrezi, Roman
Ferreira, Pedro P.
Hajinazar, Samad
Mori, Hitoshi
Paudyal, Hari
Margine, Elena R.
Heil, Christoph
contents Migdal-Eliashberg theory is one of the state-of-the-art methods for describing conventional superconductors from first principles. However, widely used implementations assume a constant density of states around the Fermi level, which hinders a proper description of materials with distinct features in its vicinity. Here, we present an implementation of the Migdal-Eliashberg theory within the EPW code that considers the full electronic structure and accommodates scattering processes beyond the Fermi surface. To significantly reduce computational costs, we introduce a non-uniform sampling scheme along the imaginary axis. We demonstrate the power of our implementation by applying it to the sodalite-like clathrates YH$_6$ and CaH$_6$, and to the covalently-bonded H$_3$S and D$_3$S. Furthermore, we investigate the effect of maximizing the density of states at the Fermi level in doped H$_3$S and BaSiH$_8$ within the full-bandwidth treatment compared to the constant-density-of-states approximation. Our findings highlight the importance of this advanced treatment in such complex materials.
format Preprint
id arxiv_https___arxiv_org_abs_2310_00056
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Full-bandwidth anisotropic Migdal-Eliashberg theory and its application to superhydrides
Lucrezi, Roman
Ferreira, Pedro P.
Hajinazar, Samad
Mori, Hitoshi
Paudyal, Hari
Margine, Elena R.
Heil, Christoph
Superconductivity
Materials Science
Migdal-Eliashberg theory is one of the state-of-the-art methods for describing conventional superconductors from first principles. However, widely used implementations assume a constant density of states around the Fermi level, which hinders a proper description of materials with distinct features in its vicinity. Here, we present an implementation of the Migdal-Eliashberg theory within the EPW code that considers the full electronic structure and accommodates scattering processes beyond the Fermi surface. To significantly reduce computational costs, we introduce a non-uniform sampling scheme along the imaginary axis. We demonstrate the power of our implementation by applying it to the sodalite-like clathrates YH$_6$ and CaH$_6$, and to the covalently-bonded H$_3$S and D$_3$S. Furthermore, we investigate the effect of maximizing the density of states at the Fermi level in doped H$_3$S and BaSiH$_8$ within the full-bandwidth treatment compared to the constant-density-of-states approximation. Our findings highlight the importance of this advanced treatment in such complex materials.
title Full-bandwidth anisotropic Migdal-Eliashberg theory and its application to superhydrides
topic Superconductivity
Materials Science
url https://arxiv.org/abs/2310.00056