Wentzel-Bardeen singularity and phase diagram for interacting electrons coupled to acoustic phonons in one dimension
arXiv:cond-mat/9408086 · doi:10.1103/PhysRevB.50.12160
Abstract
Using a Luttinger liquid description, the correlation function exponents of various response functions are calculated. Their striking sensitivity to the non perturbative Wentzel-Bardeen singularity is discussed. For the Hubbard model coupled to phonons, the equivalent of a phase diagram is established. By increasing the filling factor towards half filling, the Wentzel-Bardeen singularity is rapidly approached. This suppresses antiferromagnetic fluctuations and drives the system in a metallic phase, and ultimately in the triplet superconducting regime.
4 pages, REVTex, 2 figures on request from [email protected], to appear in Phys Rev. B
Cited by in corpus (46)
- One-Dimensional Fermi liquids
- One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
- Superconductivity in Ropes of Single-Walled Carbon Nanotubes
- High-Tc superconductivity in entirely end-bonded multi-walled carbon nanotubes
- Bolometric detection of mechanical bending waves in suspended carbon nanotubes
- Quantum transport through carbon nanotubes: proximity induced and intrinsic superconductivity
- Electron-phonon interaction in ultrasmall-radius carbon nanotubes
- Phase diagram of the one dimensional Hubbard-Holstein Model at 1/2 and 1/4 filling
- Acoustic phonon exchange, attractive interactions, and the Wentzel-Bardeen singularity in single-wall nanotubes
- Microscopic model of superconductivity in carbon nanotubes
- Retardation effects in the Holstein-Hubbard chain at half-filling
- Coulomb screening and electronic instabilities of small-diameter (5,0) nanotubes
- Superconductivity in carbon nanotube ropes
- Phonon-assisted tunneling in interacting suspended single wall carbon nanotubes
- Multimer formation in 1D two-component gases and trimer phase in the asymmetric attractive Hubbard model
- Competition of superfluidity and density waves in one-dimensional Bose-Fermi mixtures
- Superconducting diamagnetic fluctuations in ropes of carbon nanotubes
- Duality of Weak and Strong Scatterer in Luttinger liquid Coupled to Massless Bosons
- Insulating, superconducting and large-compressibility phases in nanotube ropes
- Electron-phonon coupling in metallic carbon nanotubes: Dispersionless electron propagation despite dissipation
- Electron backscattering from dynamical impurities in a Luttinger liquid
- Dispersionless propagation of electron wavepackets in single-walled carbon nanotubes
- Strongly Interacting Holes in Ge/Si Nanowires
- Electronic instabilities in 3D arrays of small-diameter (3,3) carbon nanotubes
- Impurity Scattering in Luttinger Liquid with Electron-Phonon Coupling
- Electrically tunable correlated domain wall network in twisted bilayer graphene
- Dominant Superconducting Fluctuations in the One-Dimensional Extended Holstein-Extended Hubbard model
- Charge Density Wave Formation in the Low-Temperature-Tetragonal Phase of Cuprates
- On the Validity of the Tomonaga Luttinger Liquid Relations for the One-dimensional Holstein Model
- Conductance Increase by Electron-Phonon Interaction in Quantum Wires
- Instabilities in Luttinger liquids
- Phase diagram and phonon-induced backscattering in topological insulator nanowires
- Effect of electron-phonon coupling on transmission through Luttinger liquid hybridized with resonant level
- Multi-orbital physics in lithium-molybdenum purple-bronze: going beyond paradigm
- Response functions in multicomponent Luttinger liquids
- Density matrix of electrons coupled to phonons and the electron-phonon entanglement content of excited states
- Finite frequency noise in chiral Luttinger liquid coupled to phonons
- Entanglement of electrons and the lattice in a Luttinger system
- Decoherence of Schrodinger cat states in a Luttinger liquid
- Interaction- and phonon-induced topological phase transitions in double helical liquids
- Spectral function of a Luttinger liquid coupled to phonons and angle-resolved photoemission measurements in the cuprate superconductors
- Local Classical and Quantum Criticality due to Electron-Vibration Interaction
- Tunneling into a Luttinger-liquid coupled to acoustic phonons out of equilibrium
- Dominant superconducting correlations in a Luttinger liquid induced by spin fluctuations
- Coupled-wire descriptions of unconventional quantum states in twisted nanostructures
- Quasi-two-dimensional spin helix and magnon-induced singularity in twisted bilayer graphene