Soliton stars as holographic confined Fermi liquids

• Published in: The journal of high energy physics Vol. 2012; no. 2
• Main Authors: Bhattacharya, Jyotirmoy, Ogawa, Noriaki, Takayanagi, Tadashi, Ugajin, Tomonori
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer-Verlag 01.02.2012; Springer Nature B.V
• Subjects: Charge density; Classical and Quantum Gravitation; Elementary Particles; Fermi liquids; Fermions; High energy physics; Phase transitions; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Relativity Theory; Solitary waves; String Theory; AdS-CFT Correspondence; Holography and condensed matter physics (AdS/CMT)
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP02(2012)137

A bstract In this paper, we study a holographic dual of a confined Fermi liquid state by putting a charged fluid of fermions in the AdS soliton geometry. This can be regarded as a confined analogue of electron stars. Depending on the parameters such as the mass and charge of the bulk fermion field, we found three different phase structures when we change the values of total charge density at zero temperature. In one of the three cases, our confined solution (called soliton star) is always stable and this solution approaches to the electron star away from the tip. In both the second and third case, we find a confinement/deconfinement phase transition. Moreover, in the third one, there is a strong indication that the soliton star decays into an inhomogeneous solution. We also analyze the probe fermion equations (in the WKB approximation) in the background of this soliton star geometry to confirm the presence of many Fermi-surfaces in the system.