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Studying interacting fermions in one dimension at high energy, we find a hierarchy in the spectral weights of the excitations theoretically, and we observe evidence for second-level excitations experimentally. Diagonalizing a model of fermions (without spin), we show that levels of the hierarchy are separated by powers of R2/L2, where R is a length scale related to interactions and L is the system length. The first-level (strongest) excitations form a mode with parabolic dispersion, like that of a renormalized single particle. The second-level excitations produce a singular power-law line shape to the first-level mode and multiple power laws at the spectral edge. We measure momentum-resolved tunneling of electrons (fermions with spin) from or to a wire formed within a GaAs heterostructure, which shows parabolic dispersion of the first-level mode and well-resolved spin-charge separation at low energy with appreciable interaction strength. We find structure resembling the second-level excitations, which dies away quite rapidly at high momentum.
|Number of pages||5|
|Journal||Physical Review Letters|
|Publication status||Published - 11 May 2015|
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- 1 Finished
Beyond Luttinger Liquids-Spin-Charge Separation at High Excitation Energies
Engineering & Physical Science Research Council
31/10/12 → 29/04/15
Project: Research Councils
Hierarchy of modes in an interacting one-dimensional system
Tsyplyatyev, O. (Creator), Schofield, A. (Contributor), Jin, Y. (Contributor), Moreno, M. (Contributor), Tan, W. (Contributor), Ford, C. (Contributor), Griffiths, J. (Contributor), Farrer, I. (Contributor), Jones, G. (Contributor) & Ritchie, D. (Contributor), University of Birmingham, 24 Apr 2015
DOI: 10.25500/eData.bham.00000068, http://epapers.bham.ac.uk/1956/