Holographic Fermi Liquids in a Spontaneously Generated Lattice
James Alsup, Eleftherios Papantonopoulos, George Siopsis, Kubra Yeter
TL;DR
This paper investigates how a spontaneously generated holographic lattice affects fermionic properties, revealing band gap formation and Fermi surface modifications in a strongly coupled system.
Contribution
It introduces a higher-derivative interaction to generate a lattice holographically and analyzes its impact on fermionic spectral functions.
Findings
Lattice formation occurs below a critical temperature.
Fermi surface is altered by the lattice structure.
A band gap appears in the fermion spectrum due to lattice effects.
Abstract
We discuss fermions in a spontaneously generated holographic lattice background. The lattice structure at the boundary is generated by introducing a higher-derivative interaction term between a U(1) gauge field and a scalar field. We solve the equations of motion below the critical temperature at which the lattice forms, and analyze the change in the Fermi surface due to the lattice. The fermion band structure is found to exhibit a band gap due to lattice effects.
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