Graphene plasmon damping from BTZ quasinormal modes in AdS/CFT

Department of Physics, National Institute of Technology Srinagar - Srinagar 190006, India

Received: 19 March 2026
Accepted: 13 May 2026

Abstract

Screened graphene channels support a single longitudinal collective mode whose response can be fixed by exact AdS/CFT correlators. Using the exact neutral BTZ Dirichlet correlator together with a calibrated mixed-boundary prescription for a dynamical boundary electromagnetic field, we derive the leading collective plasmon response in a screened single-mode channel. The AdS/CFT Dirichlet sector determines a universal thermal pole structure and a real light-cone fundamental mode, while the mixed-boundary completion generates a controlled complex shift of the physical excitation. This implies a plasmon linewidth that scales as the square root of temperature and wave vector and obeys a simple leading relation between reactive shift and damping. The result provides a controlled holographic baseline for confined graphene plasmons and a starting point for finite-density, disorder, phonon, and parity-odd extensions.