Ground-state phase diagram of the frustrated spin-12 two-leg honeycomb ladder

Qiang Luo, Shijie Hu, Jize Zhao, Alexandros Metavitsiadis, Sebastian Eggert, and Xiaoqun Wang
Phys. Rev. B 97, 214433 – Published 27 June 2018

Abstract

We investigate a spin-1/2 two-leg honeycomb ladder with frustrating next-nearest-neighbor (NNN) coupling along the legs, which is equivalent to two J1J2 spin chains coupled with J at odd rungs. The full parameter region of the model is systematically studied using conventional and infinite density-matrix renormalization group as well as bosonization. The rich phase diagram consists of five distinct phases: a Haldane phase, a NNN-Haldane phase, and a staggered dimer phase when J<0; a rung singlet phase and a columnar dimer phase when J>0. An interesting reentrant behavior from the dimerized phase into the Haldane phase is found as the frustration J2 increases. The universalities of the critical phase transitions are fully analyzed. Phase transitions between dimerized and disordered phases belong to the two-dimensional Ising class with a central charge c=1/2. The transition from the Haldane phase to NNN-Haldane phase is of a weak topological first order, while the continuous transition between the Haldane phase and rung singlet phase has a central charge c=2.

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  • Received 22 March 2018
  • Revised 8 June 2018

DOI:https://doi.org/10.1103/PhysRevB.97.214433

©2018 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Qiang Luo1, Shijie Hu2,*, Jize Zhao3, Alexandros Metavitsiadis2,4, Sebastian Eggert2, and Xiaoqun Wang5,6,†

  • 1Department of Physics, Renmin University of China, Beijing 100872, China
  • 2Department of Physics and Research Center Optimas, Technische Universität Kaiserslautern, 67663 Kaiserslautern, Germany
  • 3Center for Interdisciplinary Studies, Lanzhou University, Lanzhou 730000, China
  • 4Institute for Theoretical Physics, Technical University Braunschweig, 38106 Braunschweig, Germany
  • 5Key Laboratory of Artificial Structures and Quantum Control (Ministry of Education), School of Physics and Astronomy, Tsung-Dao Lee Institute, Shanghai Jiao Tong University, Shanghai 200240, China
  • 6Collaborative Innovation Center for Advanced Microstructures, Nanjing 210093, China

  • *shijiehu201@gmail.com
  • xiaoqunwang@sjtu.edu.cn

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Issue

Vol. 97, Iss. 21 — 1 June 2018

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