Bosonization of Interacting Fermions in Arbitrary Dimensions

Density-density propagator for one-dimensional interacting spinless fermions with nonlinear dispersion and calculation of the Coulomb drag resistivity

“…Different methods were used to address the issue of the nonlinear dispersion. [5][6][7][8][9][10][11][12][13][14] Unfortunately, these papers either rely on numerical calculation or exact solubility or employ uncontrollable approximations or devise methods suitable for a particular task at hand. No universal approach emerged from those works.…”

Haldane liquid with mutual exclusion statistics

“…15 However, I feel that the concept of Haldane liquids with MHWS is important as a candidate in order to understand non-Fermi liquid behaviors of the strongly interacting many-body systems in higher dimensions. In this context, the relationship between the Haldane liquid presented in this paper and the bosonization approach to the non-Fermi liquids in higher dimensions 15,41,42 is worth investigating. Furthermore, it seems very important to study how the MHWS parameters are obtained from scattering matrices in the scattering process between multispecies quasiparticles in reality as was discussed in the pure HWS case.…”

Spin current through superconductor—Tomonaga Luttinger liquid hybrid systems

“…We calculate the spin current-phase relations using functional bosonization method [5,7], in which low energy fluctuations due to the Coulomb interactions are treated as a kind of ''environment''. Therefore, the Andreev bound states in TLL become ill-defined, which results in the renormalization of the TDOS.…”