2018/06/28 by Yafei Ren, Tian-Sheng Zeng, T. -S. Zeng +2
Physics and Astronomy · #Advanced Condensed Matter Physics #Condensed matter physics #Electron #Fermion #Lattice (music) #Physics #Quantum #Quantum Hall effect #Quantum anomalous Hall effect #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Quantum phases #Topological Materials and Phenomena #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.98.205146
published as Phys. Rev. B 98, 205146 (2018) · 5 pages, 4 figures
arxiv created 2018/06/28 · openalex created_date 2018/07/10 · openalex publication_date 2018/11/26 · arxiv updated 2018/12/05 · openalex updated_date 2026/08/06
We study the quantum phases of spinless fermions at one-third filling on a kagome lattice featuring a quadratic band touching Fermi point. In the presence of weak first and second nearest-neighbor repulsive interactions (V1 and V2), we demonstrate an interaction driven quantum anomalous Hall effect by employing exact diagonalization and density-matrix renormalization group methods. The time-reversal symmetry is broken spontaneously by forming loop currents that exhibit long-range correlation. Quantized Hall conductance corresponding to a Chern number of \ifmmode±\else\textpm\fi1 is obtained by measuring the pumped charge through inserting flux in a cylinder geometry. We find that the energy gap, which topologically protects the emerging ground states, can be enhanced remarkably by a moderate V2<V1 via calculating the spectrum and charge excitation gaps, which highlights the experimentally feasible scheme of realizing the interaction driven topological phase by spatially decaying interactions on topologically trivial lattice models.