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

Abstract

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.

4 pages, 3 figures, minor changes, published version

References in corpus (6)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Marginal Fermi liquid behavior from 2d Coulomb interaction
• Wigner crystal physics in quantum wires
• Transition from a one-dimensional to a quasi-one-dimensional state in interacting quantum wires
• ``X-Ray Edge'' Singularities in Nanotubes and Quantum Wires with Multiple Subbands
• Critical conductance of a one-dimensional doped Mott insulator

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