Probe-Configuration-Dependent Decoherence in an Aharonov–Bohm Ring

Kobayashi, Kensuke; Aikawa, H.; Katsumoto, Shingo; Iye, Yasuhiro

doi:10.1143/jpsj.71.2094

Cited by 42 publications

(80 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We like to stress that a dephasing time varying as T −1 has been reported in Refs. [11,12] that seems to reinforce the thesis that electron-electron interactions should not be ignored in quantum wires. The work presented here can be extended in many directions: in particular, muti-channels and systems with backscattering may be considered.…”

Section: Regimesupporting

confidence: 53%

“…Of interest to us is thus to elucidate the notion of electron decoherence in a 1D very clean ballistic system with only one propagating channel by generically taking the electron-electron interaction into account, producing a Luttinger liquid (T is much smaller than the electron bandwidth). We shall explain why the dephasing time of ballistic 1D conductors in Aharonov-Bohm experiments follows τ φ ∝ T −1 , considering the one channel case, that seems to be of experimental interest [11,12]. One very peculiar aspect of the LL is the breakdown of the Landau's quasiparticle picture and the electron fractionalization mechanism implying that genuine charged excitations carry fractional quantum numbers (for spinful but also for spin-polarized electrons); consult Ref.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Electron lifetime in Luttinger liquids

Hur

2006

Phys. Rev. B

View full text Add to dashboard Cite

We investigate the decoherence of the electron wavepacket in purely ballistic one-dimensional systems described through the Luttinger liquid (LL). At a finite temperature T and long times t, we show that the electron Green's function for a fixed wavevector close to one Fermi point decays as exp(−t/τF ) -as opposed to the power-law behavior occurring at short times -and the emerging electron lifetime obeys τ −1 F ∝ T for spinful as well as spinless electrons. For strong interactions, (T τF ) ≪ 1, reflecting that the electron is not a good Landau quasiparticle in LLs. We justify that fractionalization is the main source of electron decoherence for spinful as well as spinless electrons clarifying the peculiar electron mass renormalization close to the Fermi points. For spinless electrons and weak interactions, our intuition can be enriched through a diagrammatic approach or Fermi Golden rule and through a Johnson-Nyquist noise picture. We stress that the electron lifetime (and the fractional quasiparticles) can be revealed from Aharonov-Bohm experiments or momentum resolved tunneling. We aim to compare the results with those of spin-incoherent and chiral LLs.

show abstract

Section: Regimesupporting

confidence: 53%

Section: Introductionmentioning

confidence: 99%

Electron lifetime in Luttinger liquids

Hur

2006

Phys. Rev. B

View full text Add to dashboard Cite

show abstract

“…Such temperature dependence of the coherence is reminiscent of that in an AB ring with the local and nonlocal configurations 28 , where the temperature dependence of the AB amplitude was found to be weaker in the nonlocal setup than in the local setup. Theoretically it was pointed out that the difference in the impedance of the probes seen from the sample is important 29 .…”

Section: B Temperature Dependence Of the Fano Effectmentioning

confidence: 70%

Fano resonance in a quantum wire with a side-coupled quantum dot

et al. 2004

Self Cite

View full text Add to dashboard Cite

We report a transport experiment on the Fano effect in a quantum connecting wire (QW) with a side-coupled quantum dot (QD). The Fano resonance occurs between the QD and the "T-shaped" junction in the wire, and the transport detects antiresonance or a forward scattered part of the wave function. While it is more difficult to tune the shape of the resonance in this geometry than in the previously reported Aharonov-Bohm-ring-type interferometer, the resonance purely consists of the coherent part of transport. Utilizing this advantage, we have quantitatively analyzed the temperature dependence of the Fano effect by including the thermal broadening and the decoherence. We have also proven that this geometry can be a useful interferometer for measuring the phase evolution of electrons at a QD.

show abstract

“…According to a simple capacitance model between the gate and the 2DEG, 44,45 this effect yields the phase difference ∆θ;…”

Section: Electrostatic Control Of the Fano Interferencementioning

confidence: 99%

Mesoscopic Fano effect in a quantum dot embedded in an Aharonov-Bohm ring

et al. 2003

Self Cite

View full text Add to dashboard Cite

The Fano effect, which occurs through the quantum-mechanical cooperation between resonance and interference, can be observed in electron transport through a hybrid system of a quantum dot and an Aharonov-Bohm ring. While a clear correlation appears between the height of the Coulomb peak and the real asymmetric parameter q for the corresponding Fano line shape, we need to introduce a complex q to describe the variation of the line shape by the magnetic and electrostatic fields. The present analysis demonstrates that the Fano effect with complex asymmetric parameters provides a good probe to detect a quantum-mechanical phase of traversing electrons.

show abstract

Probe-Configuration-Dependent Decoherence in an Aharonov–Bohm Ring

Cited by 42 publications

References 16 publications

Electron lifetime in Luttinger liquids

Electron lifetime in Luttinger liquids

Fano resonance in a quantum wire with a side-coupled quantum dot

Mesoscopic Fano effect in a quantum dot embedded in an Aharonov-Bohm ring

Contact Info

Product

Resources

About