Decoupling of the many-body effects from the electron mass in GaAs by means of reduced dimensionality

Abstract

Determining the (bare) electron mass $m_0$ in crystals is often hindered by many-body effects since Fermi-liquid physics renormalises the band mass, making the observed effective mass $m^{\ast }$ depend on density. Here, we use a one-dimensional (1D) geometry to amplify the effect of interactions, forcing the electrons to form a nonlinear Luttinger liquid with separate holon and spinon bands, therefore separating the interaction effects from $m_0$. Measuring the spectral function of gated quantum wires formed in GaAs by means of magnetotunnelling spectroscopy and interpreting them using the 1D Fermi-Hubbard model, we obtain $m_0=(0.0525\pm 0.0015)m_{\text{e}}$ in this material, where $m_{\text{e}}$ is the free-electron mass. By varying the density in the wires, we change the interaction parameter $r_{\text{s}}$ in the range from $\sim$1-4 and show that $m_0$ remains constant. The determined value of $m_0$ is $\sim 22$% lighter than observed in GaAs in geometries of higher dimensionality $D$ ($D>1$), consistent with the quasi-particle picture of a Fermi liquid that makes electrons heavier in the presence of interactions.

13 pages, 9 figures

References in corpus (12)

• Spin-charge separation and localization in one-dimension
• Probing spin-charge separation in a Tomonaga-Luttinger liquid
• Measurements of the density-dependent many-body electron mass in 2D GaAs/AlGaAs Heterostructures
• Beyond the GW approximation: combining correlation channels
• Quasiparticle effective mass divergence in two dimensional electron systems
• Hierarchy of modes in an interacting system
• Diffusion quantum Monte Carlo calculation of the quasiparticle effective mass of the two-dimensional homogeneous electron gas
• Mesoscopic Elastic Distortions in GaAs Quantum Dot Heterostructures
• Extended Hubbard model in the presence of a magnetic field
• Observing separate spin and charge Fermi seas in a strongly correlated one-dimensional conductor
• Spectral edge mode in interacting one-dimensional systems
• Microscopic metallic air-bridge arrays for connecting quantum devices

Cited by in corpus (1)

• Dominant end-tunneling effect in two distinct Luttinger liquids coexisting in one quantum wire