Nuclear magnetism and electron order in interacting one-dimensional conductors

Bernd Braunecker; Pascal Simon; Daniel Loss

doi:10.1103/physrevb.80.165119

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arXiv · 0908.0904

Nuclear magnetism and electron order in interacting one-dimensional conductors

Bernd Braunecker·Pascal Simon·Daniel Loss

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Abstract

The interaction between localized magnetic moments and the electrons of a one-dimensional conductor can lead to an ordered phase in which the magnetic moments and the electrons are tightly bound to each other. We show here that this occurs when a lattice of nuclear spins is embedded in a Luttinger liquid. Experimentally available examples of such a system are single wall carbon nanotubes grown entirely from 13C and GaAs-based quantum wires. In these systems the hyperfine interaction between the nuclear spin and the conduction electron spin is very weak, yet it triggers a strong feedback reaction that results in an ordered phase consisting of a nuclear helimagnet that is inseparably bound to an electronic density wave combining charge and spin degrees of freedom. This effect can be interpreted as a strong renormalization of the nuclear Overhauser field and is a unique signature of Luttinger liquid physics. Through the feedback the order persists up into the millikelvin range. A particular signature is the reduction of the electric conductance by the universal factor 2.

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Bernd Braunecker, Pascal Simon, Daniel Loss. 2009-12-17. Nuclear magnetism and electron order in interacting one-dimensional conductors. https://doi.org/10.1103/physrevb.80.165119

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