# Superconducting dome in doped 2D superconductors with broken inversion symmetry

## TL;DR

This paper investigates how inversion symmetry affects inter-subband pairing in 2D doped superconductors, revealing a dome-shaped critical temperature dependence on asymmetry, relevant to interfaces like LaAlO3/SrTiO3.

## Contribution

It demonstrates the emergence of a superconducting dome due to inter-subband pairing in systems with broken inversion symmetry, linking it to experimental observations.

## Key findings

- Inter-subband pairing appears at high doping levels in symmetric systems.
- Broken inversion symmetry leads to a dome-shaped Tc as a function of asymmetry.
- The results relate to the Tc dome observed in LaAlO3/SrTiO3 interfaces.

## Abstract

We analyze an unconventional inter-subband paired phase in a 2D doped superconductor considering both systems with the inversion symmetry and with the inversion symmetry broken. We find that for a centro-symmetric system the inter-subband pairing can appear in the high concentration regime when the repulsive Coulomb interaction leads to the nearly degenerate symmetric and antisymmetric state. We discuss in detail the mutual competition between the intra- and inter-subband paired phase. For systems with broken inversion symmetry, we find that the critical temperature has a characteristic domelike shape as a function of the asymmetry parameter, which is explained as resulting form the inter-subbband pairing. This results is discussed in the context of the domelike shape of $T_c$ in the LaAlO$_3$/SrTiO$_3$ interface.