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We systematically investigate the finite size scaling behavior of the R\'enyi entanglement entropy (EE) of several representative 2d quantum many-body systems between a subregion and its complement, with smooth boundaries as well as…

Strongly Correlated Electrons · Physics 2024-07-18 Menghan Song , Jiarui Zhao , Zi Yang Meng , Cenke Xu , Meng Cheng

A quantum critical (QC) fluid exhibits universal subleading corrections to the area law of its entanglement entropies. In two dimensions when the partition involves a corner of angle $\theta$, the subleading term is logarithmic with…

Strongly Correlated Electrons · Physics 2016-09-28 Johannes Helmes , Lauren E. Hayward Sierens , Anushya Chandran , William Witczak-Krempa , Roger G. Melko

The free energy of a two-dimensional system at criticality has in general an universal part proportional the logarithm of the system size. This term was shown by Cardy and Peschel to be related to the curvature of the system, with smooth…

Statistical Mechanics · Physics 2009-11-10 Ruben Costa-Santos

We present a general theory of the corrections to the asymptotic behaviour of the Renyi entropies which measure the entanglement of an interval A of length L with the rest of an infinite one-dimensional system, in the case when this is…

Statistical Mechanics · Physics 2011-02-16 John Cardy , Pasquale Calabrese

The R\'enyi (Shannon) entropy, i.e. $Re_{\alpha}(Sh)$, of the ground state of quantum systems in local bases normally show a volume-law behavior. For a subsystem of quantum chains at critical point there is an extra logarithmic subleading…

Statistical Mechanics · Physics 2022-06-10 Babak Tarighi , Reyhaneh Khasseh , M. N. Najafi , M. A. Rajabpour

From the viewpoint of local quantum field theory, this letter investigates the high-order corrections to the holographic entropy bound. As a result, the logarithmic correction term appears naturally with the definite coefficient $-{1/2}$,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yi Ling , Hongbao Zhang

We consider Lifshitz criticalities with dynamical exponent $z=2$ that emerge in a class of topological chains. There, such a criticality plays a fundamental role in describing transitions between symmetry-enriched conformal field theories…

Statistical Mechanics · Physics 2022-04-26 Ke Wang , T. A. Sedrakyan

Exploiting a recently constructed target space action for the exact string black hole, logarithmic corrections to the leading order entropy are studied. There are contributions from thermal fluctuations and from corrections due to alpha'>0…

High Energy Physics - Theory · Physics 2007-05-23 Daniel Grumiller

In a $d$-dimensional conformal field theory, it has been known that a relevant deformation operator with the conformal dimension, $\Delta=\frac{d+2}{2}$, generates a logarithmic correction to the entanglement entropy. In the large 't Hooft…

High Energy Physics - Theory · Physics 2016-01-06 Chanyong Park

The entanglement entropy in three-dimensional conformal field theories (CFTs) receives a logarithmic contribution characterized by a regulator-independent function $a(\theta)$ when the entangling surface contains a sharp corner with opening…

High Energy Physics - Theory · Physics 2015-10-14 Pablo Bueno , Robert C. Myers , William Witczak-Krempa

We study the free energy of four-dimensional CFTs on deformed spheres. For generic nonsupersymmetric CFTs only the coefficient of the logarithmic divergence in the free energy is physical, which is an extremum for the round sphere. We then…

High Energy Physics - Theory · Physics 2021-03-10 Joseph A. Minahan , Usman Naseer , Charles Thull

Self-energy corrections involving logarithms of the parameter Zalpha can often be derived within a simplified approach, avoiding calculational difficulties typical of the problematic non-logarithmic corrections (as customary in bound-state…

High Energy Physics - Phenomenology · Physics 2009-11-07 U. D. Jentschura , I. Nandori

In the two-dimensional Ising model weak random surface field is predicted to be a marginally irrelevant perturbation at the critical point. We study this question by extensive Monte Carlo simulations for various strength of disorder. The…

Statistical Mechanics · Physics 2007-05-23 M. Pleimling , F. A. Bagamery , L. Turban , F. Igloi

We explore the R\'enyi entanglement entropies of a one-dimensional (line) subsystem of length $L$ embedded in two-dimensional $L\times L$ square lattice for quantum spin models whose ground-state breaks a continuous symmetry in the…

Strongly Correlated Electrons · Physics 2015-05-01 David J. Luitz , Xavier Plat , Fabien Alet , Nicolas Laflorencie

Two-loop contributions to the electromagnetic form factors are calculated in the kinematic regime close to the fermion-antifermion threshold. The results are presented in an expansion in the velocity $\beta$ of the fermions in the c.m.…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. H. Hoang

We investigate the corrections to scaling of the Renyi entropies of a region of size l at the end of a semi-infinite one-dimensional system described by a conformal field theory when the corrections come from irrelevant boundary operators.…

Statistical Mechanics · Physics 2011-02-02 Erik Eriksson , Henrik Johannesson

The entanglement entropy of the random transverse-field Ising model is calculated by a numerical implementation of the asymptotically exact strong disorder renormalization group method in 2d, 3d and 4d hypercubic lattices for different…

Statistical Mechanics · Physics 2012-03-23 István A. Kovács , Ferenc Iglói

Here, the entanglement entropy is calculated at the quantum multicritical point of the random transverse-field Ising model (RTIM). We use an efficient implementation of the strong disorder renormalization group method in two and three…

Disordered Systems and Neural Networks · Physics 2024-04-22 István Kovács

The entanglement and R\'{e}nyi entropies for spherical entangling surfaces in CFTs with gravity duals can be explicitly calculated by mapping these entropies first to the thermal entropy on hyperbolic space and then, using the AdS/CFT…

High Energy Physics - Theory · Physics 2016-09-12 Subhash Mahapatra

We study the one-loop correction to the near-extremal quantum entropy of the charged two-dimensional black hole introduced in \cite{McGuigan:1992}. In target space this background can be understood as arising from the dimensional reduction…

High Energy Physics - Theory · Physics 2026-04-28 Lorenzo Toni
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