@article{eae926db3e3b48aeb62b1fce4f1e0344,
title = "Supersymmetric multicritical point in a model of lattice fermions",
abstract = "We study a model of spinless fermions with infinite nearest-neighbor repulsion on the square ladder, which has microscopic supersymmetry. It has been conjectured that in the continuum, the model is described by the superconformal minimal model with central charge c=3/2. Thus far, it has not been possible to confirm this conjecture due to strong finite-size corrections in numerical data. We trace the origin of these corrections to the presence of unusual marginal operators that break Lorentz invariance but preserve part of the supersymmetry. By relying mostly on entanglement entropy calculations with the density-matrix renormalization group, we are able to reduce finite-size effects significantly. This allows us to unambiguously determine the continuum theory of the model. We also study perturbations of the model and establish that the supersymmetric model is a multicritical point. Our work underlines the power of entanglement entropy as a probe of the phases of quantum many-body systems.",
author = "Bela Bauer and Liza Huijse and Erez Berg and Matthias Troyer and Kareljan Schoutens",
note = "NSF [1066293, NSF PHY11-25915]; Netherlands Organisation for Scientific Research (NWO); National Science Foundation [DMR-0757145, DMR-0705472]; ISF [7113640101]; Robert Rees FundIt is a pleasure to thank Jan de Boer, Pasquale Calabrese, Massimo Campostrini, Paul Fendley, Robert Konik, Andreas Ludwig, John McGreevy, Bernard Nienhuis, Subir Sachdev, Ari Turner, Thomas Quella, Guifre Vidal, and Herman Verlinde for helpful discussions. We also thank the Aspen Center for Physics and the NSF under Grant No. 1066293 for hospitality during the early stages of this work and the Kavli Institute for Theoretical Physics and the NSF under Grant No. NSF PHY11-25915 for hospitality at the final stages of this work. Part of the calculations were performed on the Brutus cluster at ETH Zurich. The DMRG code was developed with support from the Swiss platform for High-Performance and High-Productivity Computing (HP2C) and based on the ALPS libraries.<SUP>43</SUP> L. H. acknowledges funding from the Netherlands Organisation for Scientific Research (NWO). E. B. was supported by the National Science Foundation under Grants DMR-0757145 and DMR-0705472, by the ISF under Grant No. 7113640101, and by the Robert Rees Fund.",
year = "2013",
month = apr,
day = "30",
doi = "10.1103/PhysRevB.87.165145",
language = "الإنجليزيّة",
volume = "87",
journal = "Physical Review B",
issn = "1098-0121",
publisher = "American Physical Society",
number = "16",
}