2002
DOI: 10.1103/physrevb.65.085104
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Tomonaga-Luttinger parameters for quantum wires

Abstract: The low-energy properties of a homogeneous one-dimensional electron system are completely specified by two Tomonaga-Luttinger parameters $K_{\rho}$ and $v_{\sigma}$. In this paper we discuss microscopic estimates of the values of these parameters in semiconductor quantum wires that exploit their relationship to thermodynamic properties. Motivated by the recognized similarity between correlations in the ground state of a one-dimensional electron liquid and correlations in a Wigner crystal, we evaluate these the… Show more

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Cited by 44 publications
(63 citation statements)
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“…Hartree-Fock estimates are given in Ref. [30]. Related estimates of the spin velocity are given in Ref.…”
Section: E Spin Exchange Energymentioning
confidence: 99%
See 1 more Smart Citation
“…Hartree-Fock estimates are given in Ref. [30]. Related estimates of the spin velocity are given in Ref.…”
Section: E Spin Exchange Energymentioning
confidence: 99%
“…We will be particularly interested in the situation where the density in the upper wire is small, so that when two electrons come close together, the electron-electron repulsion is strong compared to the average kinetic energy, and it is difficult for two electrons to change places. At low densities, it can be helpful to think about the one-dimensional electron system as a kind of fluctuating Wigner crystal, 28,29 with a Heisenberg antiferromagnetic exchange coupling 30,31,32 J between successive spins that is small compared to the energy for short-wavelength charge fluctuations or the original Fermi energy. Long-range interactions are expected to enhance the Wigner crystal-like correlations, 33 and further reduce J.…”
Section: Introductionmentioning
confidence: 99%
“…This model was studied recently by Häusler et al 21 who surmised that K → 1/2 and v ϰ n 2 /ln͑D / R͒ at low n. In the regime a ӷ D 2 / a B ӷ a B the validity of these statements can be examined in a controlled fashion. The interaction potential is short range, U͑x͒ ϰ x −3 at x ϳ a, and opaque, so the system is in the GIF limit.…”
mentioning
confidence: 99%
“…[52] LL theory predicts the conduction exponents α as being (1/g -1)/2 for impurity barriers, and (g + 1/g -2)/4 for interchain tunneling. [60] The relative contribution of these parallel conduction channels depends on the strength of impurities, temperature and electric field. The latter equation for the interchain tunneling allows g to be estimated as ~ 0.08 for the most conductive R-hel PA sample.…”
Section: Applicability Of Different 1d Tunneling Models To Polymer Namentioning
confidence: 99%