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We report a non-trivial feature of the vacuum structure of free massive or massless Dirac fields in the hyperbolic de Sitter spacetime. Here we have two causally disconnected regions, say $R$ and $L$ separated by another region, $C$. We are…

High Energy Physics - Theory · Physics 2019-10-23 Sourav Bhattacharya , Shankhadeep Chakrabortty , Shivang Goyal

We consider a spinless $t$-$t'$ ionic Hubbard chain at 1/2 filling and large hopping ratio $t'/t$. In this limit the model adequately maps onto a weakly coupled triangular ladder with a potential interchain bias. The low-energy properties…

Strongly Correlated Electrons · Physics 2024-10-10 Shota Garuchava , G. I. Japaridze , A. A. Nersesyan

We investigate a separability criterion based on the computable cross-norm (CCNR), and a related quantity called the CCNR negativity. We introduce a reflected version of the CCNR negativity, and discuss its connection with other…

High Energy Physics - Theory · Physics 2023-10-04 Clément Berthiere , Gilles Parez

We investigate the ground state of a (1+1)-dimensional conformal field theory built with $M$ species of massless free Dirac fermions coupled at one boundary point via a conformal junction/interface. Each CFT represents a wire of finite…

High Energy Physics - Theory · Physics 2022-09-21 Luca Capizzi , Sara Murciano , Pasquale Calabrese

We analytically study interacting Dirac fermions, described by the Thirring model, under weak local particle number measurements with monitoring rate $\gamma$. This system maps to a bosonic replica field theory, analyzed via the…

Statistical Mechanics · Physics 2025-02-24 Thomas Martin Müller , Michael Buchhold , Sebastian Diehl

In this paper, we calculate the entanglement negativity in free-fermion systems by use of the overlap matrices. For a tripartite system, if the ground state can be factored into triples of modes, we show that the partially transposed…

Statistical Mechanics · Physics 2016-05-23 Po-Yao Chang , Xueda Wen

In three dimensions there is a logarithmically divergent contribution to the entanglement entropy which is due to the vertices located at the boundary of the region considered. In this work we find the corresponding universal coefficient…

High Energy Physics - Theory · Physics 2009-04-02 H. Casini , M. Huerta , L. Leitao

We consider a quench in a free-fermion chain by joining two homogeneous half-chains via a defect. The time evolution of the entanglement negativity is studied between adjacent segments surrounding the defect. In case of equal initial…

Statistical Mechanics · Physics 2020-05-07 Matthias Gruber , Viktor Eisler

Recently, in an attempt to study disordered criticality in Quantum Hall systems and $d$-wave superconductivity, it was found that two dimensional random Dirac fermion systems contain a line of critical points which is connected to the pure…

Condensed Matter · Physics 2016-08-31 Claudio de C. Chamon , Christopher Mudry , Xiao-Gang Wen

We study a two-dimensional system of spin-polarized fermions on the kagome lattice at filling fraction f=1/3 interacting through a nearest-neighbor interaction V. Above a critical interaction strength V_c a charge-density wave with a broken…

Strongly Correlated Electrons · Physics 2015-03-17 Andreas Ruegg , Gregory A. Fiete

We consider Dirac fermions interacting with a disordered non-Abelian vector potential. The exact solution is obtained through a special type of conformal field theory including logarithmic correlators, without resorting to the replica or…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 J. -S. Caux , N. Taniguchi , A. M. Tsvelik

We develop a method to detect instabilities leading to nematic phases in strongly coupled metallic systems. We do so by adapting the well-known Pomeranchuk technique to a weakly coupled system of fermions in a curved asymptotically AdS…

High Energy Physics - Theory · Physics 2021-07-23 Gastón Giordano , Nicolás Grandi , Adrián Lugo

Self-consistent dynamical approximations for strongly correlated fermion systems are particularly successful in capturing the dynamical competition of local correlations. In these, the effect of spatially extended degrees of freedom is…

Strongly Correlated Electrons · Physics 2014-06-12 Andrey E. Antipov , Emanuel Gull , Stefan Kirchner

Dynamical correlations of various local operators are studied in the spin-half two-channel Kondo (2CK) model in the presence of channel anisotropy or external magnetic field. A conformal field theory-based scaling approach is used to…

Strongly Correlated Electrons · Physics 2009-11-13 A. I. Toth , G. Zarand

We introduce regular series expansion for weakly- and moderately-correlated fermionic systems, based on Fluctuating Local Field approach. The method relies on the explicit account of leading fluctuating mode(s) and is therefore suitable for…

Strongly Correlated Electrons · Physics 2024-12-25 Ya. S. Lyakhova , S. D. Semenov , A. I. Lichtenstein , A. N. Rubtsov

We consider the fermionic entanglement entropy for the free Dirac field in a bounded spatial region of Minkowski spacetime. In order to make the system ultraviolet finite, a regularization is introduced. An area law is proven in the…

Mathematical Physics · Physics 2024-12-20 Felix Finster , Magdalena Lottner , Alexander V. Sobolev

We study fermionic fields localized on topologically unstable domain walls bounded by strings in a grand unified theory theoretical framework. Particularly, we found that the localized fermionic degrees of freedom, which are up and down…

High Energy Physics - Theory · Physics 2015-06-16 V. K. Oikonomou

The presence of a global internal symmetry in a quantum many-body system is reflected in the fact that the entanglement between its subparts is endowed with an internal structure, namely it can be decomposed as sum of contributions…

Statistical Mechanics · Physics 2023-03-31 Gilles Parez , Riccarda Bonsignori , Pasquale Calabrese

In this paper, we study the localized states of a generic quadratic fermionic chain with finite-range couplings and an inhomogeneity in the hopping (defect) that breaks translational invariance. When the hopping of the defect vanishes,…

Mesoscale and Nanoscale Physics · Physics 2022-01-13 Filiberto Ares , José G. Esteve , Fernando Falceto

We make several observations concerning the low quark mass region with Wilson fermions and how this is connected with the epsilon regime in the continuum. A transition from tiny cutoff effects to rather large discretization errors would…

High Energy Physics - Lattice · Physics 2009-02-27 Andrea Shindler