Remarks on Bloch's Method of Sound Waves applied to Many-Fermion Problems

Tomonaga, Sin-itirô

doi:10.1143/ptp.5.544

Cited by 660 publications

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“…This sound-wave-like dispersion was introduced in the early theory of 1D electron systems by Tomonaga in 1950 [43] and some further theoretical works were subsequently carried out [44,45]. Even for a metallic atomic wire as thin as 0.3 nm, this mode can be detected by EELS [46,47].…”

Section: Fundamental Properties Of Plasmons Probed By Electron Energymentioning

confidence: 97%

Plasmons in nanoscale and atomic-scale systems

Nagao

Han

Hoang

et al. 2010

Science and Technology of Advanced Materials

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Plasmons in metallic nanomaterials exhibit very strong size and shape effects, and thus have recently gained considerable attention in nanotechnology, information technology, and life science. In this review, we overview the fundamental properties of plasmons in materials with various dimensionalities and discuss the optical functional properties of localized plasmon polaritons in nanometer-scale to atomic-scale objects. First, the pioneering works on plasmons by electron energy loss spectroscopy are briefly surveyed. Then, we discuss the effects of atomistic charge dynamics on the dispersion relation of propagating plasmon modes, such as those for planar crystal surface, atomic sheets and straight atomic wires. Finally, standing-wave plasmons, or antenna resonances of plasmon polariton, of some widely used nanometer-scale structures and atomic-scale wires (the smallest possible plasmonic building blocks) are exemplified along with their applications.

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Section: Fundamental Properties Of Plasmons Probed By Electron Energymentioning

confidence: 97%

Plasmons in nanoscale and atomic-scale systems

Nagao

Han

Hoang

et al. 2010

Science and Technology of Advanced Materials

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“…[1][2][3][4] Due to the prominent role of interactions in low dimensions, the nature of these one-dimensional electronic systems is dramatically different from their higher-dimensional counterparts described by Landau's Fermi-liquid theory. 5 The TLL state of matter in one-dimensional quantum wires has been realized in numerous experiments over the last few years.…”

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confidence: 99%

Junctions of multiple quantum wires with different Luttinger parameters

et al. 2012

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Within the framework of boundary conformal field theory, we evaluate the conductance of stable fixed points of junctions of two and three quantum wires with different Luttinger parameters. For two wires, the physical properties are governed by a single effective Luttinger parameters for each of the charge and spin sectors. We present numerical density-matrix-renormalization-group calculations of the conductance of a junction of two chains of interacting spinless fermions with different interaction strengths, obtained using a recently developed method [Phys. Rev. Lett. 105, 226803 (2010)]. The numerical results show very good agreement with the analytical predictions. For three spinless wires, i.e., a Y junction, we analytically determine the full phase diagram, and compute all fixed-point conductances as a function of the three Luttinger parameters.

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“…The Hamiltonian density is given by H(x) = h j 2 + + j 2 − /2e 2 uK, where u and K are interaction parameters. 17 Without interactions, j ± = ev F ρ ± , u = v F and K = 1. j ± propagate freely at the sound velocity u, thus…”

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confidence: 99%

A dynamic scattering approach for a gated interacting wire

Safi

1999

Eur. Phys. J. B

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A new scattering approach for correlated one-dimensional systems is developed. The adiabatic contact to charge reservoirs is encoded in time-dependent boundary conditions. The conductance matrix for an arbitrary gated wire, respecting charge conservation, is expressed through a dynamic scattering matrix. It is shown that the dc conductance is equal to e 2 /h for any model with conserved total left-and right-moving charges. The ac conductance matrix is explicitly computated for the interacting Tomonaga-Luttinger model (TLL).

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Remarks on Bloch's Method of Sound Waves applied to Many-Fermion Problems

Cited by 660 publications

References 0 publications

Plasmons in nanoscale and atomic-scale systems

Plasmons in nanoscale and atomic-scale systems

Junctions of multiple quantum wires with different Luttinger parameters

A dynamic scattering approach for a gated interacting wire

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