Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2005-08-10
Phys. Rev. Lett. 96, 106401 (2006)
Physics
Condensed Matter
Other Condensed Matter
4 pages, accepted by Phys. Rev. Lett
Scientific paper
10.1103/PhysRevLett.96.106401
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 (TR) 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 TR invariance. The Kondo effect in such a liquid exhibits new features in the structure of the screening cloud.
Bernevig Andrei B.
Wu Congjun
Zhang Shou-Cheng
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