Emergent Lorentz symmetry with vanishing velocity in a critical two-subband quantum wire

Details Emergent Lorentz symmetry with vanishing velocity in a critical two-subband quantum wire Emergent Lorentz symmetry with vanishing velocity in a critical two-subband quantum wire

2008-11-27

arxiv.org/abs/0811.4579v2

Phys. Rev. Lett. 102, 176404 (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 3 figures, minor changes, published version

Scientific paper

We consider a quantum wire with two subbands of spin-polarized electrons in the presence of strong interactions. We focus on the quantum phase transition when the second subband starts to get filled as a function of gate voltage. Performing a one-loop renormalization group (RG) analysis of the effective Hamiltonian, we identify the critical fixed-point theory as a conformal field theory having an enhanced SU(2) symmetry and central charge 3/2. While the fixed point is Lorentz invariant, the effective 'speed of light' nevertheless vanishes at low energies due to marginally irrelevant operators leading to a diverging critical specific heat coefficient.

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