The analysis of the quantum fidelity for the Majorana eigen vector, which is shown to be identical to the square of that for ground states of the XY model, indicates the signature of the gapless phase transition (GPT). We analyze the topological features of the quantum phase boundary of the XY model in a transverse magnetic field. 0000006706 00000 n 0000005109 00000 n Author information: (1)School of Physics, Nankai University, Tianjin 300071, People's Republic of China. Accepted 12 March 2019 Number 24, 1 School of Physics, Nankai University, Tianjin 300071, People's Republic of China, 2 College of Physics and Materials Science, Tianjin Normal University, Tianjin 300387, People's Republic of China, X M Yang https://orcid.org/0000-0002-6937-8402, Received 15 January 2019 0000019505 00000 n endstream endobj 161 0 obj<> endobj 162 0 obj<> endobj 163 0 obj<>stream Phase transitions in frustrated XY model on a square lattice M. H. Qin and X. Chen Laboratory of Solid State Microstructures, Nanjing University, Nanjing 210093, China J. M. Liu Laboratory of Solid State Microstructures, Nanjing University, Nanjing 210093, China; School of Physics, South China Normal University, Guangzhou 510006, China; 0000003342 00000 n 0000015089 00000 n We find that such a system can undergo three successive phase transitions. 0000001916 00000 n Matter 31 245401 View the article online for updates and enhancements. s�C0��� >������t�UmY�a��>�0�1-�� 0000011492 00000 n 0000003578 00000 n A Kosterlitz-Thouless transition is found at TKT ≈ 0.446, followed by an ordinary Ising transition at a slightly higher temperature, Tc ≈ 0.452. Matter 31 245401. 134 54 �ɦ�M���jB�t���v� : Condens. Find out more about journal subscriptions at your site. 0000008087 00000 n 0000002526 00000 n 0000010413 00000 n ��g����/�՜@��}H���C�Jɑ��겋��9,l������|���)� u�FEmy~�~���:����m(ZW$D�"�:������o �-� Screened for originality? Journal of Physics: Condensed Matter, 0000035647 00000 n 0000011669 00000 n management contact at your company. Find out more. <<61e41b7c2f7fcd4c9b400299b1dbd638>]>> Yes, X M Yang et al 2019 J. Form and we will follow up with your librarian or Institution on your behalf. To find out more, see our, Browse more than 100 science journal titles, Read the very best research published in IOP journals, Read open access proceedings from science conferences worldwide, Shandong Institute of Advanced Technology, International Max Planck Research School for Chemistry and Physics of Quantum Materials (IMPRS-CPQM), Postdoctoral Research Associate in Condensed Matter Theory, PhD Positions in Quantum Materials Research. Phys. Furthermore analytical and numerical results for second-order derivative of groundstate energy density show that such a GPT obeys scaling behavior. Published 2 April 2019 • Phase transitions in quantum systems, including symmetry breaking and topological types, always associate with gap closing and opening. 0000009083 00000 n 0000003697 00000 n Phase transition in phase transition lines of quantum XY model To cite this article: X M Yang et al 2019 J. startxref 0000040912 00000 n 0000002879 00000 n The analysis of the quantum fidelity for the Majorana eigen vector, which is shown to be identical to the square of that for ground states of the XY model, indicates the signature of the gapless phase transition (GPT). 0000003224 00000 n We analyze the topological features of the quantum phase boundary of the XY model in a transverse magnetic field. To gain access to this content, please complete the Recommendation 0000009381 00000 n 0000000016 00000 n 0000004284 00000 n Phys. Yang XM(1), Zhang G, Song Z. Since the discovery by Kosterlitz and Thouless (KT) of a phase transition in the two-dimensional XY model (Kosterlitz and Thouless 1973, Kosterlitz 1974), several 0000002992 00000 n The computer you are using is not registered by an institution with a subscription to this article. The two transition temperatures T, = 1.61 f 0.01 and T, = 0.95k0.05 are estimated by means of finite-size scaling. 0000034943 00000 n Furthermore analytical and numerical results for second-order derivative of groundstate energy density show that such a GPT obeys scaling behavior. endstream endobj 135 0 obj<> endobj 137 0 obj<> endobj 138 0 obj<> endobj 139 0 obj<>>> endobj 140 0 obj<> endobj 141 0 obj<> endobj 142 0 obj<> endobj 143 0 obj<> endobj 144 0 obj<> endobj 145 0 obj<> endobj 146 0 obj<> endobj 147 0 obj<> endobj 148 0 obj<> endobj 149 0 obj<> endobj 150 0 obj<> endobj 151 0 obj<> endobj 152 0 obj<> endobj 153 0 obj<> endobj 154 0 obj<> endobj 155 0 obj<> endobj 156 0 obj<> endobj 157 0 obj<>/ProcSet[/PDF/Text]/ExtGState<>>> endobj 158 0 obj<> endobj 159 0 obj<> endobj 160 0 obj<>stream %PDF-1.4 %���� 0000004165 00000 n Phase transitions in quantum systems, including symmetry breaking and topological types, always associate with gap closing and opening. 0000002355 00000 n By continuing to use this site you agree to our use of cookies. 0 0000003935 00000 n 136 0 obj<>stream Find out more. You will only need to do this once. On the other hand, in the framework of Majorana representation, the Majorana lattice is shown to be two coupled SSH chains. You do not need to reset your password if you login via Athens or an Institutional login. Published 2 April 2019 • x�b```f``����� � Ā B�@Q��&j�V��^��~�a@����^mM��9mv�I٪�z��[#˔R�=.rO�