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The Hamiltonian $H={1\over2} p^2+{1\over2}m^2x^2+gx^2(ix)^\delta$ with $\delta,g\geq0$ is non-Hermitian, but the energy levels are real and positive as a consequence of ${\cal PT}$ symmetry. The quantum mechanical theory described by $H$ is…

High Energy Physics - Theory · Physics 2009-11-07 Carl M. Bender , Stefan Boettcher , Peter N. Meisinger , Qinghai Wang

We calculate the effect of infrared fluctuations of the Chern-Simons gauge field on the single-particle Green's function of composite fermions in the half-filled Landau level via higher-dimensional bosonization on a curved Fermi surface. We…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Peter Kopietz , Guillermo E. Castilla

Detailed Fermi-surface structures are essential to describe the upper critical field $H_{c2}$ in type-II superconductors, as first noticed by Hohenberg and Werthamer [Phys. Rev. {\bf 153}, 493 (1967)] and shown explicitly by Butler for…

Superconductivity · Physics 2009-11-10 Takafumi Kita , Masao Arai

In this work we provide a new direct and non-numerical technique to obtain the surface Green's functions for three-dimensional systems. This technique is based on the ideas presented in Phys. Rev. B 100, 081106(R), in which we start with an…

Mesoscale and Nanoscale Physics · Physics 2020-03-11 Sarah Pinon , Vardan Kaladzhyan , Cristina Bena

Higher Green functions are real-valued functions of two variables on the upper half plane which are bi-invariant under the action of a congruence subgroup, have logarithmic singularity along the diagonal, but instead of the usual equation…

Number Theory · Mathematics 2008-04-22 Anton Mellit

Using numerical techniques we study the spectral function $A(k,\omega)$ of a spin-fermion model for cuprates in the regime where magnetic and charge domains (stripes) are developed upon hole-doping. From $A(k,\omega)$ we study the…

Superconductivity · Physics 2009-10-31 M. Moraghebi , C. Buhler , S. Yunoki , A. Moreo

Using the gauge-gravity duality, we investigate the fermionic spectroscopy in the D(-1)-D3 brane system. The background geometry of this system described by IIB supergravity includes a black (deconfined) and bubble (confined) D3-brane which…

High Energy Physics - Theory · Physics 2025-08-05 Si-wen Li , Yi-peng Zhang , Hao-qian Li

We argue that the holographic formula relating entanglement entropy and the area of a minimal surface is the key to define the area of surfaces in the (emergent) spacetime from the dual theory on the boundary. So we promote the entropy/area…

High Energy Physics - Theory · Physics 2014-04-14 Marcelo Botta Cantcheff

We summarize the dual gravity description for a thermal gauge theory, reviewing the key features of our holographic model of large N QCD and elaborating on some new results.The theory has matter in the fundamental representation and the…

High Energy Physics - Theory · Physics 2015-05-30 Mohammed Mia , Keshav Dasgupta , Charles Gale , Sangyong Jeon

The generating functional of two dimensional $BF$ field theories coupled to fermionic fields and conserved currents is computed in the general case when the base manifold is a genus g compact Riemann surface. The lagrangian density…

High Energy Physics - Theory · Physics 2009-10-31 A. Restuccian , J. Stephany

We present an infinite class of 2+1 dimensional field theories which, after coupling to semi-holographic fermions, exhibit strange metallic behavior in a suitable large $N$ limit. These theories describe lattices of hypermultiplet defects…

High Energy Physics - Theory · Physics 2013-05-29 Kristan Jensen , Shamit Kachru , Andreas Karch , Joseph Polchinski , Eva Silverstein

We study fermions in an electrically-probed and asymptotically anti-de Sitter Schwarzschild spacetime which interact via novel chiral symmetry-preserving interactions. Computing the dual fermion two-point correlator, we show that these bulk…

Strongly Correlated Electrons · Physics 2018-09-11 Garrett Vanacore , Srinidhi T. Ramamurthy , Philip W. Phillips

We continue our recently proposed holographic description of single-particle correlation functions for four-dimensional chiral fermions with Lifshitz scaling at zero chemical potential, paying particular attention to the dynamical exponent…

High Energy Physics - Theory · Physics 2014-07-11 Umut Gursoy , Vivian Jacobs , Erik Plauschinn , Henk Stoof , Stefan Vandoren

We report extensive measurements of quantum oscillations in the normal state of the Fe-based superconductor LaFePO, (Tc ~ 6 K) using low temperature torque magnetometry and transport in high static magnetic fields (45 T). We find that the…

The Fermi surface symmetric mass generation (SMG) is an intrinsically interaction-driven mechanism that opens an excitation gap on the Fermi surface without invoking symmetry-breaking or topological order. We explore this phenomenon within…

Strongly Correlated Electrons · Physics 2023-07-25 Da-Chuan Lu , Meng Zeng , Yi-Zhuang You

At the low energy regime, the decay rate of two-dimensional massless Dirac fermions due to interactions can be written as $\mathrm{Im}\Sigma(\omega) \propto |\omega|^{x}$ at zero temperature. We find that the fermion system has: I) no sharp…

Strongly Correlated Electrons · Physics 2010-04-13 Jing-Rong Wang , Guo-Zhu Liu

We study the low energy effective theory for a non-Fermi liquid state in 2+1 dimensions, where a transverse U(1) gauge field is coupled with a patch of Fermi surface with N flavors of fermion in the large N limit. In the low energy limit,…

Strongly Correlated Electrons · Physics 2009-10-01 Sung-Sik Lee

In anti-de Sitter (AdS) space, classical supergravity solutions are represented "holographically" by conformal field theory (CFT) states in which operators have expectation values. These 1-point functions are directly related to the…

High Energy Physics - Theory · Physics 2009-10-31 Vijay Balasubramanian , Simon F. Ross

We carry out the first holographic calculation of a fermionic response function for a strongly coupled $d=3$ system with an explicit D=10 or D=11 supergravity dual. By considering the supersymmetry current, we obtain a universal result…

High Energy Physics - Theory · Physics 2013-05-29 Jerome P. Gauntlett , Julian Sonner , Daniel Waldram

Geometric electron optics may be implemented in solid state when transport is ballistic on the length scale of a device. Currently, this is realized mainly in 2D materials characterized by circular Fermi surfaces. Here we demonstrate that…