Specific heat of 2D interacting Majorana fermions from holography

Abstract

Majorana fermions are a fascinating medium for discovering new phases of matter. However, the standard analytical tools are very limited in probing the non-perturbative aspects of interacting Majoranas in more than one dimensions. Here, we employ the holographic correspondence to determine the specific heat of a two-dimensional interacting gapless Majorana system. To perform our analysis we first describe the interactions in terms of a pseudo-scalar torsion field. We then allow fluctuations in the background curvature thus identifying our model with a $(2+1)$-dimensional Anti-de Sitter (AdS) geometry with torsion. By employing the AdS/CFT correspondence, we show that the interacting model is dual to a $(1+1)$-dimensional conformal field theory (CFT) with central charge that depends on the interaction coupling. This non-perturbative result enables us to determine the effect interactions have in the specific heat of the system at the zero temperature limit.

6 pages, published version

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• Dirac materials
• $\alpha$-RuCl3: a Spin-Orbit Assisted Mott Insulator on a Honeycomb Lattice
• Models and Materials for Generalized Kitaev Magnetism
• Vaporization of Kitaev spin liquids
• Four-loop critical exponents for the Gross-Neveu-Yukawa models
• Topological field theory and thermal responses of interacting topological superconductors
• Strongly interacting Majorana fermions
• Interacting Majorana Fermions
• Majorana-Hubbard model on the square lattice
• The CFT dual of AdS gravity with torsion
• Renormalization group analysis of phase transitions in the two dimensional Majorana-Hubbard model
• Conformal energy currents on the edge of a topological superconductor

Cited by in corpus (6)

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• Torsional Landau levels and geometric anomalies in condensed matter Weyl systems
• Probing non-Hermitian phase transitions in curved space via quench dynamics
• Geometric description of the Kitaev honeycomb lattice model
• Extended Nappi-Witten Geometry for the Fractional Quantum Hall Effect
• Massive Higher-Spin Fields in the Fractional Quantum Hall Effect