2019/06/30 by Nguyen H. Le, A. J. Fisher, Andrew J. Fisher +2 · 1 citation
Physics and Astronomy · #Condensed matter physics #Hubbard model #Phase transition #Physics #Quantum #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Quantum phases #Realization (probability) #Spins #Superconductivity #Topological Materials and Phenomena #Topological order #Topology (electrical circuits) #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1038/s41534-020-0253-9
published as npj Quantum Information 6, 24 (2020) · 11 pages, 7 figures
openalex publication_date 2020/02/14 · arxiv created 2020/02/15 · arxiv updated 2020/02/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
Abstract Motivated by recent advances in fabricating artificial lattices in semiconductors and their promise for quantum simulation of topological materials, we study the one-dimensional dimerized Fermi–Hubbard model. We show how the topological phases at half-filling can be characterized by a reduced Zak phase defined based on the reduced density matrix of each spin subsystem. Signatures of bulk–boundary correspondence are observed in the triplon excitation of the bulk and the edge states of uncoupled spins at the boundaries. At quarter-filling, we show that owing to the presence of the Hubbard interaction the system can undergo a transition to the topological ground state of the non-interacting Su–Schrieffer–Heeger model with the application of a moderate-strength external magnetic field. We propose a robust experimental realization with a chain of dopant atoms in silicon or gate-defined quantum dots in GaAs where the transition can be probed by measuring the tunneling current through the many-body state of the chain.