We study the frequency and space dependence of the local tunneling density of states (DOS) of a Luttinger liquid (LL) connected to a superconductor. This coupling strongly modifies the single-particle properties of the LL. It significantly enhances the DOS near the Fermi level, whereas this quantity vanishes as a power law for an isolated LL. The enhancement is due to the interplay between electron-electron interactions and multiple backscattering processes of low-energy electrons at the interface between the LL and the superconductor. This anomalous behavior extends over large distances from the interface and may be detected by coupling normal probes to the system.We study the frequency and space dependence of the local tunneling density of states (DOS) of a Luttinger liquid (LL) connected to a superconductor. This coupling strongly modifies the single-particle properties of the LL. It significantly enhances the DOS near the Fermi level, whereas this quantity vanishes as a power law for an isolated LL. The enhancement is due to the interplay between electron-electron interactions and multiple backscattering processes of low-energy electrons at the interface between the LL and the superconductor. This anomalous behavior extends over large distances from the interface and may be detected by coupling normal probes to the system.

arXiv:cond-mat/9605107Physical Review LettersOct 7, 199640 citations

Transport in Luttinger Liquids

Thierry Giamarchi, Thomas Nattermann, Pierre Le Doussal

Springer eBooksJan 1, 20040 citations

Charging of a quantum dot coupled to Luttinger-liquid leads

P. Wächter, V. Meden, Kurt Schönhammer

Luttinger-liquid behavior of one-dimensional correlated electron systems is characterized by power-law scaling of a variety of physical observables with exponents determined by a single interaction dependent parameter $K$ . We suggest a setup to study Luttinger-liquid behavior in quantum wires which allows us to determine $K$ from two independent measurements: transport through a quantum dot embedded in the wire and the charge on the dot. Consistency of the two $K$ 's for a single probe would provide strong experimental evidence for the Luttinger-liquid paradigm.Luttinger-liquid behavior of one-dimensional correlated electron systems is characterized by power-law scaling of a variety of physical observables with exponents determined by a single interaction dependent parameter $K$. We suggest a setup to study Luttinger-liquid behavior in quantum wires which allows us to determine $K$ from two independent measurements: transport through a quantum dot embedded in the wire and the charge on the dot. Consistency of the two $K$'s for a single probe would provide strong experimental evidence for the Luttinger-liquid paradigm.

arXiv:0705.0929Physical Review BSep 19, 200717 citations

Thermal disruption of a Luttinger liquid

Danyel Cavazos-Cavazos, Ruwan Senaratne, Aashish Kafle +1 more

Abstract The Tomonaga–Luttinger liquid (TLL) theory describes the low-energy excitations of strongly correlated one-dimensional (1D) fermions. In the past years, a number of studies have provided a detailed understanding of this universality class. More recently, theoretical investigations that go beyond the standard low-temperature, linear-response TLL regime have been developed. While these provide a basis for understanding the dynamics of the spin-incoherent Luttinger liquid, there are few experimental investigations in this regime. Here we report the observation of a thermally induced, spin-incoherent Luttinger liquid in a 6Li atomic Fermi gas confined to 1D. We use Bragg spectroscopy to measure the suppression of spin-charge separation and the decay of correlations as the temperature is increased. Our results probe the crossover between the coherent and incoherent regimes of the Luttinger liquid and elucidate the roles of the charge and the spin degrees of freedom in this regime.Abstract The Tomonaga–Luttinger liquid (TLL) theory describes the low-energy excitations of strongly correlated one-dimensional (1D) fermions. In the past years, a number of studies have provided a detailed understanding of this universality class. More recently, theoretical investigations that go beyond the standard low-temperature, linear-response TLL regime have been developed. While these provide a basis for understanding the dynamics of the spin-incoherent Luttinger liquid, there are few experimental investigations in this regime. Here we report the observation of a thermally induced, spin-incoherent Luttinger liquid in a 6Li atomic Fermi gas confined to 1D. We use Bragg spectroscopy to measure the suppression of spin-charge separation and the decay of correlations as the temperature is increased. Our results probe the crossover between the coherent and incoherent regimes of the Luttinger liquid and elucidate the roles of the charge and the spin degrees of freedom in this regime.

arXiv:2210.06306Nature CommunicationsMay 31, 202315 citations

K

. We suggest a setup to study Luttinger-liquid behavior in quantum wires which allows us to determine

K

from two independent measurements: transport through a quantum dot embedded in the wire and the charge on the dot. Consistency of the two

K

's for a single probe would provide strong experimental evidence for the Luttinger-liquid paradigm.