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Majorana fermions are often proposed to be realized by first singling out one Fermi surface without spin degeneracy via spin-orbit coupling, and then imposing boundaries or defects. In this work, we take a different route starting with two…

Superconductivity · Physics 2021-01-04 Wang Yang , Chao Xu , Congjun Wu

We study fermionic zero modes in the background of self-dual vortex on a two-dimensional non-compact extra space in 5+1 dimensions. In the Abelian Higgs model, we present an unified description of the topological and non-topological…

High Energy Physics - Theory · Physics 2015-06-26 Yong-Qiang Wang , Tie-Yan Si , Yu-Xiao Liu , Yi-Shi Duan

We consider ferromagnetic instabilities of two-dimensional helical Dirac fermions hosted on the surface of three-dimensional topological insulators. We investigate ways to increase the role of interactions by means of modifying the bulk…

Strongly Correlated Electrons · Physics 2013-11-13 Matthias Sitte , Achim Rosch , Lars Fritz

Holographic properties of a finite density fermion system have been shown to exhibit many interesting behaviours which can be observed in future. In this paper, we study low energy fermion properties in the framework of the holographic…

High Energy Physics - Theory · Physics 2022-03-01 Sayan Chakrabarti , Debaprasad Maity , Wadbor Wahlang

We develop a bosonization formalism that captures non-perturbatively the interaction effects on the $\mathbf{Q}=0$ continuum of excitations of nodal fermions above one dimension. Our approach is a natural extension of the classic…

Strongly Correlated Electrons · Physics 2020-09-16 Sebastian Mantilla , Inti Sodemann

This paper aims to theoretically analyze the behavior of Dirac fermions in tilted Dirac cone material, particularly those that have diffused a barrier potential.Our results show that the degree of tilt in the y-direction can lead to…

We study the holographic Fermion as a probe over the background with ionic lattice, which may undergo a phase transition with the development of charge density wave by the spontaneous breaking of the translational symmetry. We focus on the…

High Energy Physics - Theory · Physics 2026-02-05 Kai Li , Yi Ling , Peng Liu , Chao Niu , Meng-He Wu

We consider a holographic theory as a Ginzberg-Landau theory working for strongly interacting system near the quantum critical point: we take the bulk matter field $\Phi^I(r,x)$, the dual of the fermion bilinear, as the order parameter. We…

High Energy Physics - Theory · Physics 2021-02-03 Eunseok Oh , Yunseok Seo , Taewon Yuk , Sang-Jin Sin

We consider a 2+1 dimensional model of charged fermions coupled to a $\mathbb{Z}_2$ gauge field, and study the confinement transition in this regime. To elucidate the phase diagram of this model, we introduce a method to handle the Gauss…

Strongly Correlated Electrons · Physics 2017-02-09 Snir Gazit , Mohit Randeria , Ashvin Vishwanath

The phenomenon of particle production for quantum field theories in curved spacetimes is crucial to understand the large-scale structure of a universe from an inflationary epoch. In contrast to the free and fixed-background case, the…

General Relativity and Quantum Cosmology · Physics 2025-12-04 Carlos Fulgado-Claudio , Pablo Sala , Daniel González-Cuadra , Alejandro Bermudez

We develop a theory of weakly interacting fermionic atoms in shaken optical lattices based on the orbital mixing in the presence of time-periodic modulations. Specifically, we focus on fermionic atoms in circularly shaken square lattice…

Quantum Gases · Physics 2017-06-27 Ahmet Keles , Erhai Zhao , W. Vincent Liu

We investigate the semiclassical dynamics of massless Dirac fermions in 2+1 dimensions in the presence of external electromagnetic fields. By generalizing the $\alpha$ matrices to the spin-$S$ matrices and doing a certain scaling, we…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Moitri Maiti , R. Shankar

We use the equations of motion in combination with crossing symmetry to constrain the properties of interacting fermionic boundary conformal field theories. This combination is an efficient way of determining operator product expansion…

High Energy Physics - Theory · Physics 2024-10-16 Christopher P. Herzog , Vladimir Schaub

Due to the interaction between topological defects of an order parameter and underlying fermions, the defects can possess induced fermion numbers, leading to several exotic phenomena of fundamental importance to both condensed matter and…

Strongly Correlated Electrons · Physics 2017-09-05 Chia-Chuan Liu , Pallab Goswami , Qimiao Si

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

Boundary conditions for massive fermions are investigated in AdS_d for $d \ge 2$. For fermion masses in the range $0 \le |m| < 1/2\ell$ with $\ell$ the AdS length, the standard notion of normalizeability allows a choice of boundary…

High Energy Physics - Theory · Physics 2009-01-08 Aaron J. Amsel , Donald Marolf

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

We extend the Kac-Moody (KM) boundary conditions of AdS$_3$ gravity by incorporating fermionic fields. For $\mathcal{N}=(1,1)$ AdS$_3$ supergravity, we show that there are two possible ways to implement the fermionic extension. In the…

High Energy Physics - Theory · Physics 2025-12-02 Nabamita Banerjee , Vedant Bhutra , Suvankar Dutta , Soumava Kundu

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

Starting from the nearest-neighbor tight-binding model on {10,3} and {14,3} hyperbolic lattices that, for a uniform hopping amplitude, gives rise to emergent Dirac fermions on a curved space with a constant negative curvature, displaying a…

Strongly Correlated Electrons · Physics 2025-11-21 Christopher A. Leong , Bitan Roy
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