Dominant end-tunneling effect in two distinct Luttinger liquids coexisting in one quantum wire
arXiv:2501.13549 · doi:10.1038/s41467-025-62325-5
Abstract
Luttinger liquids occupy a special place in physics as the most understood case of essentially quantum many-body systems. The experimental mission of measuring its main prediction, power laws in observable quantities, has already produced a body of exponents in different semiconductor and metallic structures. Here, we combine tunneling spectroscopy with density-dependent transport measurements in the same quantum wires over more than two orders of magnitude in temperature to very low electron temperatures down to 40 mK. This reveals that, when the second 1D subband becomes populated, the temperature dependence splits into two ranges with different exponents in the power-law dependence of the conductance, both dominated by the finite-size effect of the end-tunneling process. This result demonstrates the importance of measuring the Luttinger parameters as well as the number of modes independently through spectroscopy in addition to the transport exponent in the characterization of Luttinger liquids. This opens a new pathway to unambiguous interpretation of the exponents observed in quantum wires.
arXiv comment30 pages, 9 figures
References in corpus (34)
- Luttinger Liquid Behavior in Carbon Nanotubes
- Coulomb Interactions and Mesoscopic Effects in Carbon Nanotubes
- Effective low-energy theory for correlated carbon nanotubes
- Interacting one dimensional electron gas with open boundaries
- Universal theory of nonlinear Luttinger liquids
- Probing spin-charge separation in a Tomonaga-Luttinger liquid
- Revealing Hidden Antiferromagnetic Correlations in Doped Hubbard Chains via String Correlators
- Suppression of tunneling into multi-wall carbon nanotubes
- One-dimensional conduction in Charge-Density Wave nanowires
- Electron Transport in a Multi-Channel One-Dimensional Conductor: Molybdenum Selenide Nanowires
- Time-Resolved Observation of Spin-Charge Deconfinement in Fermionic Hubbard Chains
- Phenomenology of One-Dimensional Quantum Liquids Beyond the Low-Energy Limit
- 1D-1D Coulomb Drag Signature of a Luttinger Liquid
- Boundary Effects on Spectral Properties of Interacting Electrons in One Dimension
- Waveform measurement of charge- and spin-density wave packets in a Tomonaga-Luttinger liquid
- Coulomb drag by small momentum transfer between quantum wires
- Direct observation of incommensurate magnetism in Hubbard chains
- Current drag in capacitevly coupled Luttinger constrictions
- GaAs Quantum Dot Thermometry Using Direct Transport and Charge Sensing
- Interference and zero-bias anomaly in tunneling between Luttinger-liquid wires
- The fate of 1D spin-charge separation away from Fermi points
- Silver-Epoxy Microwave Filters and Thermalizers for Millikelvin Experiments
- Magnetotunneling as a Probe of Luttinger-Liquid Behavior
- On-and-off chip cooling of a Coulomb blockade thermometer down to 2.8 mK
- Metallic Coulomb Blockade Thermometry down to 10 mK and below
- Momentum-dependent power law measured in an interacting quantum wire beyond the Luttinger limit
- Nonlinear spectra of spinons and holons in short GaAs quantum wires
- Hierarchy of modes in an interacting system
- 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
- Spectral edge mode in interacting one-dimensional systems
- 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
- Decoupling of the many-body effects from the electron mass in GaAs by means of reduced dimensionality