Interaction driven topological phase transitions of hardcore bosons on a two-leg ladder
arxiv(2024)
摘要
We investigate the topological properties of hardcore bosons possessing
nearest-neighbor repulsive interactions on a two-leg ladder. We show that by
allowing dimerized interactions instead of hopping dimerization, the system
exhibits topological phases and phase transitions under proper conditions.
First, by assuming uniform hopping throughout the ladder, we show that when
interaction along the legs are dimerized and the dimerization pattern is
different in the legs, a trivial rung-Mott insulator to a topological bond
order phase transition occurs as a function of the dimerization strength.
However, for a fixed dimerization strength, the system exhibits a topological
to trivial phase transition with increase in the rung hopping. A completely
different scenario appears when the rung interaction is turned on. We obtain
that for a ladder with uniform hopping, the repulsive interaction either turns
the topological phase into a trivial rung-Mott insulator or a charge density
wave phase. Such feature is absent when the dimerization pattern in the nearest
neighbour interaction is considered to be identical in both the legs of the
ladder. We numerically obtain the ground state properties and show the
signatures of topological phase transition through Thouless charge pumping.
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