PMID: 15601198Dec 17, 2004Paper

Finite-size scaling exponents of the Lipkin-Meshkov-Glick model

Physical Review Letters
Sébastien Dusuel, Julien Vidal

Abstract

We study the ground state properties of the critical Lipkin-Meshkov-Glick model. Using the Holstein-Primakoff boson representation, and the continuous unitary transformation technique, we compute explicitly the finite-size scaling exponents for the energy gap, the ground state energy, the magnetization, and the spin-spin correlation functions. Finally, we discuss the behavior of the two-spin entanglement in the vicinity of the phase transition.

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Citations

Nov 28, 2019·Physical Review. E·Michal KlocGernot Schaller
Jul 1, 2020·Physical Review Letters·Ricardo PueblaMartin B Plenio
Dec 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Octavio CastañosElvira Romera
May 16, 2015·Physical Review Letters·Steve CampbellRosario Fazio
Mar 4, 2017·Physical Review Letters·Ricardo PueblaMartin B Plenio
Jan 5, 2019·Physical Review Letters·Nicolò DefenuGiovanna Morigi
Oct 26, 2018·Scientific Reports·Marco GabbrielliLuca Pezzè
Feb 20, 2020·Physical Review. E·Saúl Pilatowsky-CameoJorge G Hirsch
Nov 14, 2015·Physical Review Letters·Myung-Joong HwangMartin B Plenio
Jan 3, 2015·Physical Review Letters·Tony E LeeNimrod Moiseyev
Aug 8, 2018·Physical Review Letters·Irénée Frérot, Tommaso Roscilde
Oct 22, 2019·Physical Review Letters·Vasiliy MakhalovSylvain Nascimbene
Aug 17, 2020·Physical Review Letters·Paraj Titum, Mohammad F Maghrebi
Nov 9, 2019·Physical Review Letters·Angelo PigaIrénée Frérot
Apr 28, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·H T Quan, F M Cucchietti
Oct 13, 2007·Physical Review Letters·Pedro RibeiroRémy Mosseri
Dec 13, 2006·Physical Review Letters·Thomas BarthelJulien Vidal
Oct 15, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Dirk Witthaut, Marc Timme
Oct 15, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Pedro RibeiroRémy Mosseri
Oct 15, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ho-Man KwokHai-Qing Lin
Aug 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ricardo Puebla, Armando Relaño
Dec 31, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jian MaXiaoguang Wang
Aug 11, 2005·Physical Review Letters·F Leyvraz, W D Heiss
Oct 2, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jian MaShi-Jian Gu
Sep 4, 2021·Physical Review Letters·Si-Yuan Bai, Jun-Hong An

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