Adventures in Holographic Dimer Models

TL;DR

This paper explores holographic dimer models, revealing phase transitions, band structure modifications, and tools for constructing holographic analogs of the Hubbard model, advancing understanding of strongly correlated systems.

Contribution

It introduces new applications of holographic dimer models, including phase transition analysis, band structure engineering, and foundational tools for holographic Hubbard models.

Findings

Identified phase transitions between Fermi liquids and non-Fermi liquids.

Demonstrated propagation of dimer vibrations through the crystal via double trace deformations.

Reorganized band topology by varying deformation strength.

Abstract

We abstract the essential features of holographic dimer models, and develop several new applications of these models. First, semi-holographically coupling free band fermions to holographic dimers, we uncover novel phase transitions between conventional Fermi liquids and non-Fermi liquids, accompanied by a change in the structure of the Fermi surface. Second, we make dimer vibrations propagate through the whole crystal by way of double trace deformations, obtaining nontrivial band structure. In a simple toy model, the topology of the band structure experiences an interesting reorganization as we vary the strength of the double trace deformations. Finally, we develop tools that would allow one to build, in a bottom-up fashion, a holographic avatar of the Hubbard model.