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25 April 2024
 
  » arxiv » 0811.4579

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Emergent Lorentz symmetry with vanishing velocity in a critical two-subband quantum wire
M. Sitte ; A. Rosch ; J.S. Meyer ; K.A. Matveev ; M. Garst ;
Date 27 Nov 2008
AbstractWe 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.
Source arXiv, 0811.4579
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