Loading...

Infinite projected entangled-pair state algorithm for ruby and triangle-honeycomb lattices

Jahromi, S ; Sharif University of Technology | 2018

373 Viewed
  1. Type of Document: Article
  2. DOI: 10.1103/PhysRevB.97.115161
  3. Publisher: American Physical Society , 2018
  4. Abstract:
  5. The infinite projected entangled-pair state (iPEPS) algorithm is one of the most efficient techniques for studying the ground-state properties of two-dimensional quantum lattice Hamiltonians in the thermodynamic limit. Here, we show how the algorithm can be adapted to explore nearest-neighbor local Hamiltonians on the ruby and triangle-honeycomb lattices, using the corner transfer matrix (CTM) renormalization group for 2D tensor network contraction. Additionally, we show how the CTM method can be used to calculate the ground-state fidelity per lattice site and the boundary density operator and entanglement entropy (EE) on an infinite cylinder. As a benchmark, we apply the iPEPS method to the ruby model with anisotropic interactions and explore the ground-state properties of the system. We further extract the phase diagram of the model in different regimes of the couplings by measuring two-point correlators, ground-state fidelity, and EE on an infinite cylinder. Our phase diagram is in agreement with previous studies of the model by exact diagonalization. © 2018 American Physical Society
  6. Keywords:
  7. Quantum entanglement ; Quantum phase transitions ; Topological phases of matter
  8. Source: Physical Review B ; Volume 97, Issue 11 , 2018 ; 24699950 (ISSN)
  9. URL: https://journals.aps.org/prb/abstract/10.1103/PhysRevB.97.115161