Specific heat of 2D interacting Majorana fermions from holography

Autor:	Maraner, Paolo, Pachos, Jiannis K., Palumbo, Giandomenico
Rok vydání:	2018
Předmět:	Condensed Matter - Strongly Correlated Electrons Condensed Matter - Mesoscale and Nanoscale Physics General Relativity and Quantum Cosmology High Energy Physics - Theory
Zdroj:	Scientific Reports 9, 17308 (2019)
Druh dokumentu:	Working Paper
DOI:	10.1038/s41598-019-53771-5
Popis:	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. Comment: 6 pages, published version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1811.02258 Zobrazit plný text záznamu View this record from Arxiv