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We explore the gravitational backreaction of a system consisting in a very large number of elementary fermions at finite temperature, in asymptotically AdS space. We work in the hydrodynamic approximation, and solve the…

High Energy Physics - Theory · Physics 2019-11-12 Carlos R. Argüelles , Nicolás E. Grandi

In this study, we analytically examine the behavior of a fermion-antifermion pair near the horizon of a static BTZ black hole using a fully covariant two-body Dirac equation with a position-dependent mass. This formulation leads to a set of…

General Relativity and Quantum Cosmology · Physics 2025-03-26 Abdullah Guvendi , Omar Mustafa

Fermions scattering on a black hole background cannot develop an instability sourced by superradiance. However, in a global (or planar) AdS$_4$-Reissner-Nordstr\"om background fermions can violate the AdS$_2$ fermionic mass stability bound…

High Energy Physics - Theory · Physics 2020-05-20 Oscar J. C. Dias , Ramon Masachs , Olga Papadoulaki , Paul Rodgers

I provide a transfer matrix method for the Foldy-Wouthuysen representation of the Dirac equation. I derive the relationship between the reflection and transmission coefficients of the Dirac spinors and the wavefunction in the transformed…

Mesoscale and Nanoscale Physics · Physics 2024-11-26 Mark Behzad Doost

In this work we initiate the study of open effective field theories of fermions interacting with holographic baths. As a first step in this direction, we explain how the recently identified holographic Schwinger-Keldysh saddles naturally…

High Energy Physics - Theory · Physics 2020-11-18 R. Loganayagam , Krishnendu Ray , Akhil Sivakumar

We review in detail the derivation of the dielectric response function of a noninteracting system of spin-1/2 fermions in the random-phase approximation. Results for the response function of a Fermi gas in one, two and three dimensions can…

Quantum Gases · Physics 2011-11-24 Bogdan Mihaila

We perform de Haas-van Alphen measurements and quasiparticle self-consistent \textit{GW} (QS\textit{GW}) calculations on FeS. The calculated Fermi surface (FS) consists of two hole and two electron cylinders. We observe all the eight…

Electron stars are fluids of charged fermions in Anti-de Sitter spacetime. They are candidate holographic duals for gauge theories at finite charge density and exhibit emergent Lifshitz scaling at low energies. This paper computes in detail…

High Energy Physics - Theory · Physics 2015-05-28 Sean A. Hartnoll , Diego M. Hofman , David Vegh

Fermi arcs are disconnected contour of Fermi surface, which can be observed in the pseudo-gap phase of high temperature superconductors. Aiming to understand this pseudo-gap phenomena, we study a holographic Fermionic system coupled with a…

High Energy Physics - Theory · Physics 2019-07-11 Sayan Chakrabarti , Debaprasad Maity , Wadbor Wahlang

We study massive charged fermionic perturbations in the background of a charged two-dimensional dilatonic black hole, and we solve the Dirac equation analytically. Then, we compute the reflection and transmission coefficients and the…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Ramon Becar , P. A. Gonzalez , Joel Saavedra , Yerko Vasquez

We analyze fermionic response of strongly correlated holographic matter in presence of inhomogeneous periodically modulated potential mimicking the crystal lattice. The modulation is sourced by a scalar operator that explicitly breaks the…

High Energy Physics - Theory · Physics 2020-01-29 Askar Iliasov , Andrey A. Bagrov , Mikhail I. Katsnelson , Alexander Krikun

We investigate holographic fermions in general asymptotically scaling geometries with hyperscaling violation exponent $\theta$, which is a natural generalization of fermions in Lifshitz spacetime. We prove that the retarded Green functions…

High Energy Physics - Theory · Physics 2023-08-14 Zhong-Ying Fan

We investigate holographic fermions in uni-directional striped phases, where the breaking of translational invariance can be generated either spontaneously or explicitly. We solve the Dirac equation for a probe fermion in the associated…

High Energy Physics - Theory · Physics 2019-10-02 Sera Cremonini , Li Li , Jie Ren

In this paper we discuss two-dimensional holographic metals from a condensed matter physics perspective. We examine the spin structure of the Green's function of the holographic metal, demonstrating that the excitations of the holographic…

Strongly Correlated Electrons · Physics 2012-10-26 Victor Alexandrov , Piers Coleman

In this paper, we show that a system of localized particles, satisfying the Fermi statistics and subject to finite-range interactions, can be exactly solved in any dimension. In fact, in this case it is always possible to find a finite…

Strongly Correlated Electrons · Physics 2007-05-23 Ferdinando Mancini

Basically (2 + 1) dimensional Dirac equation with real deformed Lorentz scalar potential is investi gated in this study. The position dependent Fermi velocity function transforms Dirac Hamiltonian into a Klein-Gordon-like effective…

Mathematical Physics · Physics 2018-08-01 O. Yesiltas , B. Cagatay

Recent experimental and numerical evidence suggest an intriguing universal relationship between the Fermi surface anisotropy of the non-interacting parent two-dimensional electron gas and the strongly correlated composite Fermi liquid…

Strongly Correlated Electrons · Physics 2020-05-18 Jia Ning Leaw , Ho-Kin Tang , Maxim Trushin , Fakher F. Assaad , Shaffique Adam

In this paper, we develop the holographic mean field theory for strongly interacting fermion systems. We investigate various types of the symmetry-breakings and their effect on the spectral function. We found analytic expressions of fermion…

High Energy Physics - Theory · Physics 2024-06-24 Supalert Sukrakarn , Taewon Yuk , Sang-Jin Sin

The rising interest in Dirac materials, condensed matter systems where low-energy electronic excitations are described by the relativistic Dirac Hamiltonian, entails a need for microscopic effective models to analytically describe their…

Mesoscale and Nanoscale Physics · Physics 2025-08-06 Jeyson Támara-Isaza , Pablo Burset , William J. Herrera

We analyse the worldline holographic framework for fermions. Worldline holography is based on the observation that in the worldline approach to quantum field theory, sources of a quantum field theory over Mink$_4$ naturally form a field…

High Energy Physics - Theory · Physics 2017-10-04 Dennis D. Dietrich , Adrian Koenigstein
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