title: Universal quantum correlation close to quantum critical phenomena.
abstract: We study the ground state quantum correlation of Ising model in a transverse field (ITF) by implementing the quantum renormalization group (QRG) theory. It is shown that various quantum correlation measures and the Clauser-Horne-Shimony-Holt inequality will highlight the critical point related with quantum phase transitions, and demonstrate nonanalytic phenomena and scaling behavior when the size of the systems becomes large. Our results also indicate a universal behavior of the critical exponent of ITF under QRG theory that the critical exponent of different measures is identical, even when the quantities vary from entanglement measures to quantum correlation measures. This means that the two kinds of quantum correlation criterion including the entanglement-separability paradigm and the information-theoretic paradigm have some connections between them. These remarkable behaviors may have important implications on condensed matter physics because the critical exponent directly associates with the correlation length exponent.
authors.affiliation: Department of Physics and Key Laboratory of Modern Acoustic, Nanjing University, Nanjing, 210093, China.|College of Sciences, PLA University of Science and Technology, Nanjing, 211101, China.
authors.forename: Meng
authors.initials: M
authors.lastname: Qin
authors.affiliation: Department of Physics and Key Laboratory of Modern Acoustic, Nanjing University, Nanjing, 210093, China.|Center of Theoretical Nuclear Physics, National Laboratory of Heavy-Ion Accelerator, Lanzhou, 730000, China.|Kavli Institute for Theoretical Physics China, Beijing, 100190, China.
authors.forename: Zhong-Zhou
authors.initials: ZZ
authors.lastname: Ren
authors.affiliation: Department of Physics and Key Laboratory of Modern Acoustic, Nanjing University, Nanjing, 210093, China.
authors.forename: Xin
authors.initials: X
authors.lastname: Zhang