hrvatski jezikClear Cookie - decide language by browser settings

The frustration of being odd: universal area law violation in local systems

Giampaolo, Salvatore Marco; Braga Ramos, F.; Franchini, Fabio (2019) The frustration of being odd: universal area law violation in local systems. Journal of Physics Communications, 3 (8). ISSN 2399-6528

PDF - Published Version - article
Available under License Creative Commons Attribution.

Download (679kB) | Preview


At the core of every frustrated system, one can identify the existence of frustrated rings that are usually interpreted in terms of single–particle physics. We check this point of view through a careful analysis of the entanglement entropy of both models that admit an exact single–particle decomposition of their Hilbert space due to integrability and those for which the latter is supposed to hold only as a low energy approximation. In particular, we study generic spin chains made by an odd number of sites with short-range antiferromagnetic interactions and periodic boundary conditions, thus characterized by a weak, i.e. nonextensive, frustration. While for distances of the order of the correlation length the phenomenology of these chains is similar to that of the non-frustrated cases, we find that correlation functions involving a number of sites scaling like the system size follow different rules. We quantify the long-range correlations through the von Neumann entanglement entropy, finding that indeed it violates the area law, while not diverging with the system size. This behavior is well fitted by a universal law that we derive from the conjectured single–particle picture.

Item Type: Article
Additional Information: We thank Andrea Trombettoni, Rosario Fazio, Marcello Dalmonte and Alexander Abanov for useful discussions and Ryan Requist for his careful reading of the first version of the manuscript and his comments. Weare grateful for the computational resources provided by the High Performance Computing Center (NPAD) at UFRN. FF and SMG acknowledge support from the H2020 CSA Twinning project No. 692194, ` RBI-T-WINNING' and from RBI TWINSIN project. FF's work is also partially suppported by the Croatian Science Fund Project No. IP2016-6-3347.
Uncontrolled Keywords: frustration; entanglement; area law violation
Subjects: NATURAL SCIENCES > Physics > Condensed Matter Physics
Divisions: Theoretical Physics Division
Project titleProject leaderProject codeProject type
Novel Characterizations of Classical and Quantum Many-Body Systems-ManyBodyCharacterizaFabio FranchiniIP-2016-06-3347HRZZ
Ruđer Bošković Institute: Twinning for a step forward of the Theoretical Physics Division-RBI-T-WINNINGFabrizio NESTI692194EK
Sinergijom do uspjeha: RBI-T-WINNING i ESIF udruženi u jačanju izvrsnosti Zavoda za teorijsku fiziku Instituta Ruđer Bošković-RBI-TWINN-SINBlazenka MelicKK.
Depositing User: Salvatore Marco Giampaolo
Date Deposited: 29 Apr 2020 12:59
DOI: 10.1088/2399-6528/ab3ab3

Actions (login required)

View Item View Item


Downloads per month over past year

Increase Font
Decrease Font
Dyslexic Font