Back to Search
Start Over
Synthetic helical liquids with ultracold atoms in optical lattices
- Publication Year :
- 2015
- Publisher :
- American Physical Society, 2015.
-
Abstract
- We discuss a platform for the synthetic realization of key physical properties of helical Tomonaga Luttinger liquids (HTLLs) with ultracold fermionic atoms in one-dimensional optical lattices. The HTLL is a strongly correlated metallic state where spin polarization and propagation direction of the itinerant particles are locked to each other. We propose an unconventional one-dimensional Fermi-Hubbard model which, at quarter filling, resembles the HTLL in the long wavelength limit, as we demonstrate with a combination of analytical (bosonization) and numerical (density matrix renormalization group) methods. An experimentally feasible scheme is provided for the realization of this model with ultracold fermionic atoms in optical lattices. Finally, we discuss how the robustness of the HTLL against back-scattering and imperfections, well known from its realization at the edge of two-dimensional topological insulators, is reflected in the synthetic one-dimensional scenario proposed here.
- Subjects :
- Bosonization
FOS: Physical sciences
01 natural sciences
010305 fluids & plasmas
Condensed Matter - Strongly Correlated Electrons
Luttinger liquid
Ultracold atom
Quantum mechanics
Mesoscale and Nanoscale Physics (cond-mat.mes-hall)
0103 physical sciences
Electronic
Optical and Magnetic Materials
010306 general physics
Physics
Condensed Matter::Quantum Gases
Electronic, Optical and Magnetic Materials
Condensed Matter Physics
Strongly Correlated Electrons (cond-mat.str-el)
Condensed matter physics
Spin polarization
Condensed Matter - Mesoscale and Nanoscale Physics
Long wavelength limit
Density matrix renormalization group
Quantum Gases (cond-mat.quant-gas)
Topological insulator
Condensed Matter::Strongly Correlated Electrons
Condensed Matter - Quantum Gases
Realization (systems)
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....e5750640b41b05ed08a3f1cd6808505d