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Quantum Monte Carlo simulations of bosonic and fermionic impurities in a two-dimensional hard-core boson system
1Department of Physics, Boston University, 590 Commonwealth Avenue, Boston, MA 02215, USA.
Abstract:
A two-dimensional lattice hard-core boson system with a small fraction of bosonic or fermionic impurities is studied. The impurity hopping and interactions are identical to those of the dominant bosons, so that effects due to quantum statistics can be isolated. A quantum Monte Carlo scheme is developed in which bosonic paths are sampled and the impurities are introduced at the level of summing over permutation cycles. For both types of impurities, an anomaly in the effective impurity interaction energy is found at the Kosterlitz-Thouless temperature; it changes from attractive for T>T(KT) to repulsive for T
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