Equivalence of Rashba-Hubbard and Hubbard chains

Bosonization of dimerized Hubbard chains

The foundations of bosonization were laid more than 50 years ago in a seminal paper by Tomonaga [1]. During the following decades the method was worked out and successfully applied to one-dimensional electron and spin systems [2, 3, 4]. Despite its long history there are still some subtle points in the bosonization formalism which are not taken into consideration in the majority of the literatu...

Rashba spin orbit coupling in the Kane-Mele-Hubbard model

Spin-orbit (SO) coupling is the crucial parameter to drive topological insulating phases in electronic band models. In particular, the generic emergence of SO coupling involves the Rashba term which fully breaks the SU(2) spin symmetry. As soon as interactions are taken into account, however, many theoretical studies have to content themselves with the analysis of a simplified U(1) conserving S...

Charge and spin dynamics of the Hubbard chains

We calculate the local correlation functions of charge and spin for the one-chain and two-chain Hubbard model using the density matrix renormalization group method and the recursion technique. Keeping only finite number of states we get good accuracy for the low energy excitations. We study the charge and spin gaps, bandwidths and weights of the spectra for various values of the on-site Coulomb...

Spreading of entanglement and steering along small Bose-Hubbard chains

We investigate how entanglement spreads along small Bose-Hubbard chains, with only the first well initially occupied by a mesoscopic number of atoms, as the number of sites increases. For twoand three-well chains in the noninteracting case, we are able to obtain analytical solutions and show that the presence of entanglement depends on having a sub-Poissonian state of the atoms in the first wel...

Bosonization of Dimerized Spinless-fermion and Hubbard Chains