Hierarchy of modes in an interacting one-dimensional system

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Hierarchy of modes in an interacting one-dimensional system. / Tsyplyatyev, Oleksandr; Schofield, Andrew; Jin, Y; Tan, WK; Ford, CJB; Griffiths, JP; Farrer, I; Jones, GAC; Ritchie, DA.

In: Physical Review Letters, Vol. 114, 196401 , 11.05.2015.

Research output: Contribution to journalArticle

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Tsyplyatyev, O, Schofield, A, Jin, Y, Tan, WK, Ford, CJB, Griffiths, JP, Farrer, I, Jones, GAC & Ritchie, DA 2015, 'Hierarchy of modes in an interacting one-dimensional system', Physical Review Letters, vol. 114, 196401 . https://doi.org/10.1103/PhysRevLett.114.196401

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Tsyplyatyev, Oleksandr ; Schofield, Andrew ; Jin, Y ; Tan, WK ; Ford, CJB ; Griffiths, JP ; Farrer, I ; Jones, GAC ; Ritchie, DA. / Hierarchy of modes in an interacting one-dimensional system. In: Physical Review Letters. 2015 ; Vol. 114.

Bibtex

@article{f6d275c603bc42e29262d108ae35feb4,
title = "Hierarchy of modes in an interacting one-dimensional system",
abstract = "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.",
author = "Oleksandr Tsyplyatyev and Andrew Schofield and Y Jin and WK Tan and CJB Ford and JP Griffiths and I Farrer and GAC Jones and DA Ritchie",
year = "2015",
month = "5",
day = "11",
doi = "10.1103/PhysRevLett.114.196401",
language = "English",
volume = "114",
journal = "Phys. Rev. Lett.",
issn = "0031-9007",
publisher = "American Physical Society (APS)",

}

RIS

TY - JOUR

T1 - Hierarchy of modes in an interacting one-dimensional system

AU - Tsyplyatyev, Oleksandr

AU - Schofield, Andrew

AU - Jin, Y

AU - Tan, WK

AU - Ford, CJB

AU - Griffiths, JP

AU - Farrer, I

AU - Jones, GAC

AU - Ritchie, DA

PY - 2015/5/11

Y1 - 2015/5/11

N2 - 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.

AB - 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.

U2 - 10.1103/PhysRevLett.114.196401

DO - 10.1103/PhysRevLett.114.196401

M3 - Article

VL - 114

JO - Phys. Rev. Lett.

JF - Phys. Rev. Lett.

SN - 0031-9007

M1 - 196401

ER -