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Journal Article

Luttinger liquid with complex forward scattering: Robustness and Berry phase


Moessner,  Roderich
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Dora, B., & Moessner, R. (2016). Luttinger liquid with complex forward scattering: Robustness and Berry phase. Physical Review B, 93(7): 075127. doi:10.1103/PhysRevB.93.075127.

Cite as: http://hdl.handle.net/11858/00-001M-0000-002A-09BA-8
Luttinger liquids (LLs) are one-dimensional systems with well-understood instabilities due to Umklapp or backscattering. We study a generalization of the Luttinger model, which incorporates a time reversal symmetry breaking interaction producing a complex forward scattering amplitude (g(2) process). The resulting low energy state is still a LL and belongs to the family of interacting Schulz-Shastry models. Remarkably, it becomes increasingly robust against additional perturbations-for purely imaginary g(2), both Umklapp and local backscattering are always irrelevant. Changing the phase of the interaction generates a nontrivial Berry phase, with a universal geometric phase difference between ground and a one boson excited state depending only on the LL parameter.