Momentum-resolved tunneling between Luttinger liquids

Abstract

We study tunneling between two nearby cleaved edge quantum wires in a perpendicular magnetic field. Due to Coulomb forces between electrons, the wires form a strongly-interacting pair of Luttinger liquids. We calculate the low-temperature differential tunneling conductance, in which singular features map out the dispersion relations of the fractionalized quasiparticles of the system. The velocities of several such spin-charge separated excitations can be explicitly observed. Moreover, the proposed measurement directly demonstrates the splintering of the tunneling electrons into a multi-particle continuum of these quasiparticles, carrying separately charge from spin. A variety of corrections to the simple Luttinger model are also discussed.

4 pages, 5 figures (1 in color)

References in corpus (5)

• Luttinger Liquid Behavior in Carbon Nanotubes
• Observation of the e/3 Fractionally Charged Laughlin Quasiparticles
• Experimental Evidence for Resonant-Tunneling in a Luttinger-Liquid
• Tunneling between the Edges of Two Lateral Quantum Hall Systems
• Magnetotunneling as a Probe of Luttinger-Liquid Behavior

Cited by in corpus (19)

• Spin-charge separation and localization in one-dimension
• Probing spin-charge separation in a Tomonaga-Luttinger liquid
• Interference and zero-bias anomaly in tunneling between Luttinger-liquid wires
• Theory of momentum resolved tunneling into a short quantum wire
• Fabry-Perot interference and spin filtering in carbon nanotubes
• Inter edge Tunneling in Quantum Hall Line Junctions
• Time and momentum-resolved tunneling spectroscopy of pump-driven non-thermal excitations in Mott insulators
• Collective excitation of quantum wires and effect of spin-orbit coupling in the presence of a magnetic field along the wire
• Spectral functions of two-band spinless fermion and single-band spin-1/2 fermion models
• Electron Spectral Functions of Reconstructed Quantum Hall Edges
• Signatures of spin-charge separation in scanning probe microscopy
• Many-body dispersions in interacting ballistic quantum wires
• Spin current in an electron waveguide tunnel-coupled to topological insulator
• Effects of Quantum Hall Edge Reconstruction on Momenum-Resolved Tunneling
• Probing the $\nu =2/3$ fractional quantum Hall edge by momentum-resolved tunneling
• Semiconductor nanodevices as a probe of strong electron correlations
• Tunneling spectroscopy between one-dimensional helical conductors
• Finite-temperature spectroscopy of dirty helical Luttinger liquids
• Influences of an impurity on the transport properties of one-dimensional antisymmetric spin filter