Quantum phase transition induced by real-space topology
arXiv:1608.02786 · doi:10.1038/srep39416
Abstract
A quantum phase transition (QPT), including both topological and symmetry breaking types, is usually induced by the change of global parameters, such as external fields or global coupling constants. In this work, we demonstrate the existence of QPT induced by the real-space topology of the system. We investigate the groundstate properties of the tight-binding model on a honeycomb lattice with the torus geometry based on exact results. It is shown that the ground state experiences a second- order QPT, exhibiting the scaling behavior, when the torus switches to a tube, which reveals the connection between quantum phase and the real-space topology of the system.
6 pages, 4 figures
References in corpus (10)
- Topological Insulators
- Berry Phase Effects on Electronic Properties
- Ground state overlap and quantum phase transitions
- Topological Origin of Zero-Energy Edge States in Particle-Hole Symmetric Systems
- Fidelity approach to quantum phase transitions
- The Zak phase and the existence of edge states in graphene
- Topological phases of generalized Su-Schrieffer-Heeger models
- Impurity Quantum Phase Transitions
- Symmetry protected topological phases in non-interacting fermion systems
- Characterization of topological phase transitions via topological properties of transition points