Gianaurelio Cuniberti et al 1996 J. Phys.: Condens. Matter 8 L21 doi:10.1088/0953-8984/8/2/002
Transport and elementary excitations of a Luttinger liquid
Gianaurelio Cuniberti
, Maura Sassetti
and Bernhard Kramer§
LETTER TO THE EDITOR
The low-temperature AC conductance of a one-dimensional electron system with a strong interaction of finite range is calculated by using linear response theory. The conductance factorizes into parts which depend on the internal properties of the system, and the external probe. For short-range interaction, the result resembles that for non-interacting electrons, but with the zero-frequency limit and the Fermi velocity renormalized by the interaction strength. For strong and long-range interaction, the conductance shows a peak that is related to charge-wave excitations. In this limit, the AC conductance can be simulated by a quantum capacitance and a quantum inductance.
- PACS
-
71.10.Pm Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.)
71.45.Gm Exchange, correlation, dielectric and magnetic response functions, plasmons
- Subjects
- Dates
-
Issue 2 (8 January 1996)
Received 10 November 1995
-
Transport and elementary excitations of a Luttinger liquid
Gianaurelio Cuniberti et al 1996 J. Phys.: Condens. Matter 8 L21
-
Comparison of GaP and PH3 as dopant sources for STM-based device fabrication
Kuan Eng Johnson Goh et al 2007 Nanotechnology 18 065301
-
Narrow, highly P-doped, planar wires in silicon created by scanning probe microscopy
F J Rueß et al 2007 Nanotechnology 18 044023
-
The use of etched registration markers to make four-terminal electrical contacts to STM-patterned nanostructures
F J Rueß et al 2005 Nanotechnology 16 2446
-
Coupled dynamics of fast spins and slow interactions in neural networks and spin systems
R W Penney et al 1993 J. Phys. A: Math. Gen. 26 3681
-
Universality classes for extreme-value statistics
Jean-Philippe Bouchaud and Marc Mézard 1997 J. Phys. A: Math. Gen. 30 7997
-
Statistical mechanics of the knapsack problem
E Korutcheva et al 1994 J. Phys. A: Math. Gen. 27 L645
-
The Nishimori line and Bayesian statistics
Yukito Iba 1999 J. Phys. A: Math. Gen. 32 3875
-
The replica method and solvable spin glass model
J L van Hemmen and R G Palmer 1979 J. Phys. A: Math. Gen. 12 563
-
Statistical-mechanical approach to image processing
Kazuyuki Tanaka 2002 J. Phys. A: Math. Gen. 35 R81
Related review articles
What's this?- Quantum criticality in organic conductors? Fermi liquid versus non-Fermi-liquid behaviour
- Singular responses of spin-incoherent Luttinger liquids
- Local geometry of the Fermi surface and its effect on the electronic characteristics of normal metals