Spectral signatures of the Luttinger liquid to charge-density-wave transition

Abstract

Electron- and phonon spectral functions of the one-dimensional, spinless-fermion Holstein model at half filling are calculated in the four distinct regimes of the phase diagram, corresponding to an attractive or repulsive Luttinger liquid at weak electron-phonon coupling, and a band- or polaronic insulator at strong coupling. The results obtained by means of kernel polynomial and systematic cluster approaches reveal substantially different physics in these regimes and further indicate that the size of the phonon frequency significantly affects the nature of the quantum Peierls phase transition.

5 pages, 4 figures; final version, accepted for publication in Physical Review B

References in corpus (6)

• The Kernel Polynomial Method
• Quantum lattice dynamical effects on the single-particle excitations in 1D Mott and Peierls insulators
• Phonon Effects on Spin-Charge Separation in One Dimension
• Polaronic Quasiparticles in a Strongly Correlated Electron Band
• Luttinger liquid versus charge density wave behaviour in the one-dimensional spinless fermion Holstein model
• Analytical approach to the quantum-phase transition in the one-dimensional spinless Holstein model

Cited by in corpus (29)

• Froehlich Polaron and Bipolaron: Recent Developments
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• Phase diagram of the one dimensional Hubbard-Holstein Model at 1/2 and 1/4 filling
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• Luttinger parameters and momentum distribution function for the half-filled spinless fermion Holstein model: A DMRG approach
• Chebyshev approach to quantum systems coupled to a bath
• Spin, charge and single-particle spectral functions of the one-dimensional quarter filled Holstein model
• Finite-size effects in Luther-Emery phases of Holstein and Hubbard models
• Dynamic charge correlations near the Peierls transition
• Pairing and density-wave phases in Boson-Fermion mixtures at fixed filling
• Density waves in strongly correlated quantum chains
• Quantum phase transition in a 1D transport model with boson affected hopping: Luttinger liquid versus charge-density-wave behavior
• Phonon spectral function of the one-dimensional Holstein-Hubbard model
• CDW and similarity of the Mott-Insulator-to-Metal transition in cuprates with the gas to liquid-liquid transition in supercooled water
• Phonon spectral function of the Holstein polaron
• Directed-Loop Quantum Monte Carlo Method for Retarded Interactions
• Interplay of charge, spin and lattice degrees of freedom on the spectral properties of the one-dimensional Hubbard-Holstein model
• Correlation-induced metal insulator transition in a two-channel fermion-boson model
• Dominant particle-hole contributions to the phonon dynamics in the spinless one-dimensional Holstein model
• Continuous-time quantum Monte Carlo for fermion-boson lattice models: Improved bosonic estimators and application to the Holstein model
• Optical conductivity of polaronic charge carriers
• Orbital-selective charge-density wave in TaTe${}_4$
• Thermal and quantum lattice fluctuations in Peierls chains
• Bipolaron formation in 1D-3D quantum dots: A lattice quantum Monte Carlo approach
• Charge-density-wave formation in a half-filled fermion-boson transport model: A projective renormalization approach
• Peierls to superfluid crossover in the one-dimensional, quarter-filled Holstein model
• Carrier-density effects in many-polaron systems
• Metal-insulator transition of spinless fermions coupled to dispersive optical bosons
• Band-selective Holstein polaron in Luttinger liquid material A0.3MoO3 (A = K, Rb)