Defect-induced multicomponent electron scattering in single-walled carbon nanotubes

Bercioux, Dario; Buchs, Gilles; Grabert, Hermann; Gröning, Oliver

doi:10.1103/physrevb.83.165439

Cited by 23 publications

(39 citation statements)

References 52 publications

(80 reference statements)

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“…Local Coulomb scatterers can flip the valley index (Pályi and Burkard, 2010;Bercioux et al, 2011), and spin-carrying impurities can flip both spin and valley with comparable rates (Pályi and Burkard, 2009). One example is hyperfine coupling to nuclear 13 C spins, which can cause both spin and valley relaxation (Sec.…”

Section: Semiconducting Metallicmentioning

confidence: 99%

Quantum transport in carbon nanotubes

et al. 2015

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Carbon nanotubes are a versatile material in which many aspects of condensed matter physics come together. Recent discoveries have uncovered new phenomena that completely change our understanding of transport in these devices, especially the role of the spin and valley degrees of freedom. This review describes the modern understanding of transport through nanotube devices. Unlike in conventional semiconductors, electrons in nanotubes have two angular momentum quantum numbers, arising from spin and valley freedom. The interplay between the two is the focus of this review. The energy levels associated with each degree of freedom, and the spin-orbit coupling between them, are explained, together with their consequences for transport measurements through nanotube quantum dots. In double quantum dots, the combination of quantum numbers modifies the selection rules of Pauli blockade. This can be exploited to read out spin and valley qubits and to measure the decay of these states through coupling to nuclear spins and phonons. A second unique property of carbon nanotubes is that the combination of valley freedom and electron-electron interactions in one dimension strongly modifies their transport behavior. Interaction between electrons inside and outside a quantum dot is manifested in SU(4) Kondo behavior and level renormalization. Interaction within a dot leads to Wigner molecules and more complex correlated states. This review takes an experimental perspective informed by recent advances in theory. As well as the well-understood overall picture, open questions for the field are also clearly stated. These advances position nanotubes as a leading system for the study of spin and valley physics in one dimension where electronic disorder and hyperfine interaction can both be reduced to a low level.

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Section: Semiconducting Metallicmentioning

confidence: 99%

Quantum transport in carbon nanotubes

et al. 2015

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“…The STM tip is modeled as a semi-infinite Fermi contact, with the Hamiltonian H tip , placed above the dot at a position y. The tunnel coupling H tip t is expressed in terms of the tip Fermi field operator ψ s,F (z) (z is the coordinate along the tip with z = 0 at the vertex) [64], with tunneling barrier transparency τ…”

Section: Couplingsmentioning

confidence: 99%

Temperature-induced emergence of Wigner correlations in a STM-probed one-dimensional quantum dot

2013

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The temperature-induced emergence of Wigner correlations over finite-size effects in a strongly interacting one-dimensional quantum dot is studied in the framework of the spin coherent Luttinger liquid. We demonstrate that, for temperatures comparable with the zero mode spin excitations, Friedel oscillations are suppressed by the thermal fluctuations of higher spin modes. On the other hand, the Wigner oscillations, sensitive to the charge mode only, are stable and become more visible. This behavior has been proved to be robust both in the thermal electron density and in the linear conductance in the presence of a scanning tunnel microscope tip. The latter probe is not directly proportional to the electron density and may confirm the above phenomena with complementary and additional information.

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“…1] is a direct probe of the locally available electronic states in the TLL, assuming the density of states in the STM tip to be a constant. In a TLL wire the STM current has been shown to vary as a power of the bias voltage: dI/dV ∝ ρ(ω) ∝ ω ∆−1 , with the TDOS exponent ∆ depending on the strength of the e-e interaction strength [41][42][43][44][45][46][47]. The TDOS exponent in a spinless two wire junction tuned to the connected (or a single wire without impurity) [5 and 48] and disconnected fixed points (single wire with impurity) [5,[49][50][51], are known to be ∆ = (g + g −1 )/2 and ∆ = 1/g respectively, where g denotes the TLL interaction parameter.…”

Section: Introductionmentioning

confidence: 99%

Enhancement of tunneling density of states at a Y junction of spin-12Tomonaga–Luttinger liquid wires

Mardanya

Agarwal

2015

Phys. Rev. B

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We calculate the tunneling density of states (TDOS) in a dissipationless three wire junction of interacting spin-1/2 electrons, and find an anomalous enhancement of the TDOS in the zero bias limit, even for repulsive interactions for several bosonic fixed points. This enhancement is physically related to the reflection of holes from the junction for incident electrons, and it occurs only in the vicinity of the junction (x < vmin/2ω where vmin is the minimum of the velocity of charge or spin excitations and ω is the bias frequency), crossing over to the bulk value which is always suppressed, at larger distances. The TDOS exponent can be directly probed in a STM experiment by measuring the differential tunneling conductance as a function of either the bias voltage or temperature as done in C. Blumenstein et al., Nat. Phys. 7, 776 (2011).

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Defect-induced multicomponent electron scattering in single-walled carbon nanotubes

Cited by 23 publications

References 52 publications

Quantum transport in carbon nanotubes

Quantum transport in carbon nanotubes

Temperature-induced emergence of Wigner correlations in a STM-probed one-dimensional quantum dot

Enhancement of tunneling density of states at a Y junction of spin-12Tomonaga–Luttinger liquid wires

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