PreprintarXiv licencearXiv
Quantum critical superconductivity in a dense fermi dilute bose mixture close to mechanical instability
Abstract
We couple a metal to an uncondensed bose gas with repulsive bose-fermi interactions in two dimensions. Within the random phase approximation, we show that the density fluctuations of the bosons, which mediate the effective fermion-fermion attraction, become long ranged on appropriate tuning of interactions. This leads to parametrically enhanced superconducting temperatures Tc ∝ g as opposed to Tc ∝ exp(−1/g) for the BCS case. The dilute bose gas density acts as the primary bottleneck to the enhancement. We discuss the conceptual difficulties of implementing this idea in electron-exciton mixtures.
Related
- Dimensionality of a strongly interacting 2D-3D Fermi-Fermi mixture from the perspective of superfluid instability and excitation properties
- On the structure of the critical Reynolds number for roll-wave instability in generalized Newtonian falling films
- Instability-driven segregation of V group transition metals on HEB2 grain boundaries influencing enhanced mechanical properties
- A critical coupling for the magnetic instability of holographic SU(2) plasmas
- A critical-layer instability of structural acoustic wall modes in a two-flexible-plate channel with Poiseuille flow: closed-form low-Mach corrections and parity-protected absorption
BibTeX
@misc{mishra2026quantum,
title = {{Quantum critical superconductivity in a dense fermi dilute bose mixture close to mechanical instability}},
author = {Vibhu Mishra},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.03094},
eprint = {2610.03094},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.03094},
}
RIS
TY - UNPB
TI - Quantum critical superconductivity in a dense fermi dilute bose mixture close to mechanical instability
AU - Vibhu Mishra
PY - 2026
DA - 2026/10/02
PB - arXiv
DO - 10.48550/arxiv.2610.03094
UR - https://arxiv.org/abs/2610.03094
AB - We couple a metal to an uncondensed bose gas with repulsive bose-fermi interactions in two dimensions. Within the random phase approximation, we show that the density fluctuations of the bosons, which mediate the effective fermion-fermion attraction, become long ranged on appropriate tuning of interactions. This leads to parametrically enhanced superconducting temperatures T_c ∝ g as opposed to T_c ∝ exp(−1/g) for the BCS case. The dilute bose gas density acts as the primary bottleneck to the enhancement. We discuss the conceptual difficulties of implementing this idea in electron-exciton mixtures.
ER -