Format

Send to

Choose Destination
Phys Rev Lett. 2006 Mar 17;96(10):106401. Epub 2006 Mar 14.

Helical liquid and the edge of quantum spin Hall systems.

Author information

1
Department of Physics, Stanford University, California 94305, USA.

Abstract

The edge states of the recently proposed quantum spin Hall systems constitute a new symmetry class of one-dimensional liquids dubbed the "helical liquid," where the spin orientation is determined by the direction of electron motion. We prove a no-go theorem which states that a helical liquid with an odd number of components cannot be constructed in a purely 1D lattice system. In a helical liquid with an odd number of components, a uniform gap in the ground state can appear when the time-reversal symmetry is spontaneously broken by interactions. On the other hand, a correlated two-particle backscattering term by an impurity can become relevant while keeping the time-reversal invariance.

Supplemental Content

Full text links

Icon for American Physical Society
Loading ...
Support Center