Anomalous BCS equation for a Luttinger superconductor
Vieri Mastropietro
TL;DR
This paper develops a modified BCS theory for Luttinger liquids, revealing that strong interactions significantly alter the superconducting transition temperature, potentially leading to higher T_c than in Fermi liquids.
Contribution
It introduces a BCS framework tailored for Luttinger liquids, extending the traditional theory to strongly correlated one-dimensional systems.
Findings
Modified BCS equation for Luttinger liquids
Predicted higher T_c compared to Fermi liquids
Significant impact of strong interactions on superconductivity
Abstract
In the context of the Anderson theory of high T_c cuprates, we develop a BCS theory for Luttinger liquids. If the Luttinger interaction is much stronger than the BCS potential we find that the BCS equation is quite modified compared to usual BCS equation for Fermi liquids. In particular T_c predicted by the BCS equation for Luttinger liquids is quite higher than the usual T_c for Fermi liquids.
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