Hierarchy of modes in an interacting system

Abstract

Studying interacting fermions in 1D at high energy, we find a hierarchy in the spectral weights of the excitations theoretically and we observe evidence for second-level excitations experimentally. Diagonalising a model of fermions (without spin), we show that levels of the hierarchy are separated by powers of ${\mathcal{R}}^2/L^2$, where $\mathcal{R}$ 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 renormalised 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 tunnelling of electrons (fermions with spin) from/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.

arXiv comment5 pages, 3 figures, 1 table

References in corpus (13)

• One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
• Bosonization for Beginners --- Refermionization for Experts
• Form factors of the XXZ Heisenberg spin-1/2 finite chain
• Correlation functions of the XXZ Heisenberg spin-1/2 chain in a magnetic field
• Probing spin-charge separation in a Tomonaga-Luttinger liquid
• Computation of dynamical correlation functions of Heisenberg chains in a field
• Dynamic response of one-dimensional interacting fermions
• Phenomenology of One-Dimensional Quantum Liquids Beyond the Low-Energy Limit
• Solution of the quantum inverse problem
• Magnetotunneling as a Probe of Luttinger-Liquid Behavior
• Spectral edge mode in interacting one-dimensional systems
• Form factors and correlation functions of an interacting spinless fermion model
• Luttinger parameters of interacting fermions in 1D at high energies

Cited by in corpus (17)

• Magnon damping in the zigzag phase of the Kitaev-Heisenberg-$\Gamma$ model on a honeycomb lattice
• Momentum-dependent power law measured in an interacting quantum wire beyond the Luttinger limit
• Spectroscopic study on hot-electron transport in a quantum Hall edge channel
• Nonlinear spectra of spinons and holons in short GaAs quantum wires
• Nature of the many-body excitations in a quantum wire: theory and experiment
• Observing separate spin and charge Fermi seas in a strongly correlated one-dimensional conductor
• Microscopic metallic air-bridge arrays for connecting quantum devices
• Platforms for the realization and characterization of Tomonaga-Luttinger liquids
• Spin Hartree-Fock approach to quantum Heisenberg antiferromagnets in low dimensions
• Splitting of Fermi point of strongly interacting electrons in one dimension: A nonlinear effect of spin-charge separation
• Sliding Luttinger liquid with alternating interwire couplings
• Many-body theory of magneto-elasticity in one dimension
• Semiconductor nanodevices as a probe of strong electron correlations
• Decoupling of the many-body effects from the electron mass in GaAs by means of reduced dimensionality
• Finite-temperature spectroscopy of dirty helical Luttinger liquids
• Heat capacity of anisotropic Heisenberg antiferromagnet within the spin Hartree-Fock approach in quasi-1D Regime
• Dominant end-tunneling effect in two distinct Luttinger liquids coexisting in one quantum wire