Electron lifetime in Luttinger liquids

Hur, Karyn Le

doi:10.1103/physrevb.74.165104

Cited by 35 publications

(4 citation statements)

References 58 publications

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“…The full Beta function encodes the crossover between ω 2γ for high frequency ω ≫ ω * (low T ) and T 2γ at low frequency ω ≪ ω * (high T ). The former is precisely the ZBA discussed above; the latter is consistent with the result previously reported by Le Hur [67].…”

Section: Disorder-averaged Spectral Functionsupporting

confidence: 93%

“…For the former, the quasiparticle peak remains asymmetric, while for the latter, the smeared peak approaches a Lorentzian at high temperature. The broadening of the peak is nicely captured by a 2πγT inelastic rate as discussed by Le Hur [66,67]. We note that the linear in T and γ broadening is very robust starting from low temperature until T becomes comparable to the ultraviolet cutoff, as illustrated in Fig.…”

Section: Clean Spectral Functionsupporting

confidence: 66%

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Finite-temperature spectroscopy of dirty helical Luttinger liquids

Hsieh,

Chou,

Radzihovsky

2020

Preprint

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We develop a theory of finite-temperature momentum-resolved tunneling spectroscopy (MRTS) for disordered, interacting two-dimensional topological-insulator edges. The MRTS complements conventional electrical transport measurement in characterizing the properties of the helical Luttinger liquid edges. Using standard bosonization technique, we study low-energy spectral function and the MRTS tunneling current, providing a detailed description controlled by disorder, interaction, and temperature, taking into account Rashba spin orbit coupling, interedge interaction and distinct edge velocities. Our theory provides a systematic description of the spectroscopic signals in the MRTS measurement and we hope will stimulate future experimental studies on the two-dimensional time-reversal invariant topological insulator.

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Section: Disorder-averaged Spectral Functionsupporting

confidence: 93%

Section: Clean Spectral Functionsupporting

confidence: 66%

Finite-temperature spectroscopy of dirty helical Luttinger liquids

Hsieh,

Chou,

Radzihovsky

2020

Preprint

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“…it is non-analytic in U 0 ∝ α. Such dephasing rates proportional to T have also been found in non-chiral Luttinger liquids [31]- [32]. At large repulsive coupling, U 0 → +∞, we have the universal result ϕ → π T .…”

Section: Universal Dephasing For High-energy Electronssupporting

confidence: 79%

Dephasing by electron–electron interactions in a ballistic Mach–Zehnder interferometer

Neuenhahn

Marquardt

2008

New J. Phys.

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Abstract. We consider a ballistic Mach-Zehnder interferometer for electrons propagating chirally in one dimension (such as in an integer quantum Hall effect edge channel). In such a system, dephasing occurs when the finite range of the interaction potential is taken into account. Using the tools of bosonization, we discuss the decay of coherence as a function of propagation distance and energy. We supplement the exact solution by a semiclassical approach that is physically transparent and is exact at high energies. In particular, we study in more detail the recently predicted universal power-law decay of the coherence at high energies, where the exponent does not depend on the interaction strength. In addition, we compare against Keldysh perturbation theory, which works well for small interaction strength at short propagation distances.

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“…Being peculiar to closed geometry, ZMD is qualitatively different from dephasing in open geometry, where two quantum wires with a magnetic flux between them are weakly tunnel coupled at two points. In the latter case, the dephasing rate is given by the single particle decay rate in a homogeneous Lut tinger liquid (~α 2 T for spinless electrons) [42][43][44][45][46]. A remarkable feature of γ ϕ in Eq.…”

Section: Clean Interacting Ringmentioning

confidence: 99%

High-temperature Aharonov-Bohm effect in transport through a single-channel quantum ring

et al. 2015

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We overview transport properties of an Aharonov-Bohm interferometer made of a single channel quantum ring. Remarkably, in this setup, essentially quantum effects survive thermal averaging: the high temperature tunneling conductance G of a ring shows sharp dips (antiresonances) as a function of magnetic flux. We dis cuss effects of the electron-electron interaction, disorder, and spin-orbit coupling on the Aharonov-Bohm transport through the ring. The interaction splits the dip into series of dips broadened by dephasing. The physics behind this behavior is the persistent current blockade: the current through the ring is blocked by the circular current inside the ring. Dephasing is then dominated by tunneling induced fluctuations of the circu lar current. The short range disorder broadens antiresonances, while the long range one induces additional dips. In the presence of a spin-orbit coupling, G exhibits two types of sharp antiresonances: Aharonov-Bohm and Aharonov-Casher ones. In the vicinity of the antiresonances, the tunneling electrons acquire spin polar ization, so that the ring serves as a spin polarizer. Fig. 1. Single channel quantum ring and its energy levels.

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Electron lifetime in Luttinger liquids

Cited by 35 publications

References 58 publications

Finite-temperature spectroscopy of dirty helical Luttinger liquids

Finite-temperature spectroscopy of dirty helical Luttinger liquids

Dephasing by electron–electron interactions in a ballistic Mach–Zehnder interferometer

High-temperature Aharonov-Bohm effect in transport through a single-channel quantum ring

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