Integer quantum Hall effect of two-component hardcore bosons in a topological triangular lattice
| Autor: | Tian-Sheng Zeng |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: |
Condensed Matter::Quantum Gases
Condensed Matter - Strongly Correlated Electrons Strongly Correlated Electrons (cond-mat.str-el) Condensed Matter - Mesoscale and Nanoscale Physics Quantum Gases (cond-mat.quant-gas) Mesoscale and Nanoscale Physics (cond-mat.mes-hall) FOS: Physical sciences Condensed Matter - Quantum Gases |
| Popis: | We study the many-body ground states of two-component hardcore bosons in topological triangular lattice models. Utilizing exact diagonalization and density-matrix renormalization group calculations, we demonstrate that at commensurate two-thirds filling per lattice site, two-component bosonic integer quantum hall (BIQH) effect emerges with the associated $\mathbf{K}=\begin{pmatrix} 0 & 1\\ 1 & 0\\ \end{pmatrix}$ matrix under strong intercomponent Hubbard repulsion. The topological nature is further elucidated by (i) a unique ground state degeneracy with a robust spectrum gap, (ii) a quantized topological Chern number matrix $\mathbf{C}=\mathbf{K}^{-1}$, and (iii) two counterpropagating edge branches. Moreover, with increasing nearest-neighbor repulsions, the ground state undergoes a first-order transition from a BIQH liquid to a commensurate solid order. 7 pages, 7 figures; revised version |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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