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25 April 2024
 
  » arxiv » 2111.11446

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Characterizing fractional topological phases of lattice bosons near the first Mott lobe
Julian Boesl ; Rohit Dilip ; Frank Pollmann ; Michael Knap ;
Date 22 Nov 2021
AbstractThe Bose-Hubbard model subjected to an effective magnetic field hosts a plethora of phases with different topological orders when tuning the chemical potential. Using the density matrix renormalization group method, we identify several gapped phases near the first Mott lobe at strong interactions. By a particle-hole symmetry, they are connected to a variety of quantum Hall states stabilized at low fillings. We characterize phases of both particle and hole type and identify signatures compatible with Laughlin, Moore-Read, and Bosonic Integer Quantum Hall states by calculating the quantized Hall conductance and by extracting the topological entanglement entropy. Furthermore, we analyze the entanglement spectrum of a Laughlin state of bosonic particles and holes for a range of interaction strengths. These results further corroborate the existence of topological states at high fillings, close to the first Mott lobe, as hole analogues of the respective low-filling states.
Source arXiv, 2111.11446
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