Fig. 8: Algebraic decay of dimer correlators.
a the exponent β of the decay of dimer correlators \(\langle {b}_{i}^{{{\dagger}} }{b}_{j}\rangle \sim | i-j{| }^{-\beta }\), evaluated starting from i = L/2 for a chain of L = 120 sites, at the filling ν = 2/3, is obtained from a best-fit analysis (solid blue line), together with the associated errors ϵβ (shaded blue area between the dashed lines dermarking β ± ϵβ). It is shown that dimers display almost the same algebraic decay throughout the parameter regime between the two limiting cases of small and large electric field. The anomalous dimension η = β − 1 of such composite mesons is seen to vary with the ratio h/t. b we plot the fraction of the total number of particles that form dimers. The ground state results in being densely populated by dimers, even for intermediate values of h/t.
