Evidence of Fermion-to-Boson Crossover in the Fermionic Two-Leg Flux Ladder

Marcello Calvanese Strinati, Richard Berkovits, Efrat Shimshoni

Research output: Working paperPreprint


We study the crossover between fermions and bosons in a system of two coupled one-dimensional chains subjected to a gauge flux (two-leg flux ladder), with both attractive and repulsive interaction. In the presence of strong attractive nearest-neighbour interaction and repulsive next-to-nearest-neighbour interaction, the system crosses into a regime in which fermions form tightly-bound pairs, which behave as bosonic entities. By means of numerical simulations based on the density-matrix-renormalization-group (DMRG) method, we analyze such crossover in specific limits. We show in particular that in the strongly-paired regime, the gauge flux induces a quantum phase transition of the Ising type from vortex density wave (VDW) to a charge density wave (CDW), characteristic of bosonic systems.
Original languageEnglish
StatePublished - Aug 2019

Publication series

NamearXiv preprint arXiv:1908.02495


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