Momentum-dependent power law measured in an interacting quantum wire beyond the Luttinger limit

Abstract

Power laws in physics have until now always been associated with a scale invariance originating from the absence of a length scale. Recently, an emergent invariance even in the presence of a length scale has been predicted by the newly-developed nonlinear-Luttinger-liquid theory for a one-dimensional (1D) quantum fluid at finite energy and momentum, at which the particle's wavelength provides the length scale. We present the first experimental example of this new type of power law in the spectral function of interacting electrons in a quantum wire using a transport-spectroscopy technique. The observed momentum dependence of the power law in the high-energy region matches the theoretical predictions, supporting not only the 1D theory of interacting particles beyond the linear regime but also the existence of a new type of universality that emerges at finite energy and momentum.

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Cited by in corpus (16)

• Magnon damping in the zigzag phase of the Kitaev-Heisenberg-$\Gamma$ model on a honeycomb lattice
• 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
• Finite-temperature charge and spin transport in the one-dimensional Hubbard model accounting for its global [SU (2) X SU(2) X U(1)]/Z_2^2$ symmetry
• Splitting of Fermi point of strongly interacting electrons in one dimension: A nonlinear effect of spin-charge separation
• Semiconductor nanodevices as a probe of strong electron correlations
• Quasi-1D Coulomb drag in the nonlinear regime
• Quasiparticle energy relaxation in a gas of one-dimensional fermions with Coulomb interaction
• Finite-temperature spectroscopy of dirty helical Luttinger liquids
• Decoupling of the many-body effects from the electron mass in GaAs by means of reduced dimensionality
• Nonlinear effects on charge fractionalization in critical chains
• Universal quasi-Fermi liquid physics of one-dimensional interacting fermions
• Momentum-dependent scaling exponents of nodal self-energies measured in strange metal cuprates and modelled using semi-holography
• Dominant end-tunneling effect in two distinct Luttinger liquids coexisting in one quantum wire
• Investigating the roots of the nonlinear Luttinger liquid phenomenology