2018/11/30 by Paolo Maraner, Jiannis K. Pachos, Giandomenico Palumbo · 6 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Conformal field theory #Conformal map #Curvature #Fermion #Gapless playback #Holography #MAJORANA #Majorana fermion #Quantum Mechanics and Non-Hermitian Physics #Topological Materials and Phenomena #cond-mat.mes-hall #cond-mat.str-el #gr-qc #hep-th
paper · pdf · doi:10.1038/s41598-019-53771-5
published in Scientific Reports 9(1), 17308 (Nature Portfolio) · 6 pages, published version
openalex created_date 2018/11/16 · openalex publication_date 2019/11/21 · arxiv created 2020/03/05 · arxiv updated 2020/03/06 · openalex updated_date 2026/08/05
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.