Metal-insulator transition of spinless fermions coupled to dispersive optical bosons

Abstract

Including the previously ignored dispersion of phonons we revisit the metal-insulator transition problem in one-dimensional electron-phonon systems on the basis of a modified spinless fermion Holstein model. Using matrix-product-state techniques we determine the global ground-state phase diagram in the thermodynamic limit for the half-filled band case, and show that in particular the curvature of the bare phonon band has a significant effect, not only on the transport properties characterized by the conductance and the Luttinger liquid parameter, but also on the phase space structure of the model as a whole. While a downward curved (convex) dispersion of the phonons only shifts the Tomonaga-Luttinger-liquid to charge-density-wave quantum phase transition towards stronger EP coupling, an upward curved (concave) phonon band leads to a new phase-separated state which, in the case of strong dispersion, can even completely cover the charge-density wave. Such phase separation does not occur in the related Edwards fermion-boson model.

arXiv comment9 pages, 4 figures

References in corpus (42)

• The density-matrix renormalization group in the age of matrix product states
• The Kernel Polynomial Method
• The ITensor Software Library for Tensor Network Calculations
• Unifying time evolution and optimization with matrix product states
• Variational optimization algorithms for uniform matrix product states
• Density matrix renormalization group study of the polaron problem in the Holstein model
• Mobile small polaron
• Phase diagram of the one-dimensional Holstein model of spinless fermions
• Metal-insulator transition in the one-dimensional Holstein model at half filling
• Lattice polaron formation: Effects of non-screened electron-phonon interaction
• Infinite boundary conditions for matrix product state calculations
• Tomonaga-Luttinger parameters for doped Mott insulators
• Diagrammatic Monte Carlo method for many-polaron problems
• Phonon dispersion and the competition between pairing and charge order
• Optimized phonon approach for the diagonalization of electron-phonon problems
• Quantum Monte Carlo study of the one-dimensional Holstein model of spinless fermions
• Time Evolution within a Comoving Window: Scaling of signal fronts and magnetization plateaus after a local quench in quantum spin chains
• Peierls instability and optical response in the one--dimensional half--filled Holstein model of spinless fermions
• Single-particle excitations and phonon softening in the one-dimensional spinless Holstein model
• Variational Matrix Product Ansatz for Nonuniform Dynamics in the Thermodynamic Limit
• Boson-controlled quantum transport
• Spectral signatures of the Luttinger liquid to charge-density-wave transition
• Numerical solution of the Holstein polaron problem
• Luttinger parameters and momentum distribution function for the half-filled spinless fermion Holstein model: A DMRG approach
• Luttinger liquid physics from infinite-system DMRG
• Effect of Electron-Phonon Interaction Range for a Half-Filled Band in One Dimension
• Controlled bond expansion for DMRG ground state search at single-site costs
• Comparative Study of State-of-the-Art Matrix-Product-State Methods for Lattice Models with Large Local Hilbert Spaces
• Many-Polaron Effects in the Holstein Model
• Dynamic charge correlations near the Peierls transition
• 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
• The effect of dispersive optical phonons on the behaviour of a Holstein polaron
• Interplay of Site and Bond Electron-Phonon Coupling in One Dimension
• Correlation-induced metal insulator transition in a two-channel fermion-boson model
• Continuous-time quantum Monte Carlo for fermion-boson lattice models: Improved bosonic estimators and application to the Holstein model
• Phase separation in the Edwards model
• Two-wire Junction of Inequivalent Tomonaga-Luttinger Liquids
• Light bipolarons in a system of electrons coupled to dispersive optical phonons
• The one-dimensional Holstein model revisited
• Quantum transport in an environment parametrized by dispersive bosons
• Charge-order melting in the one-dimensional Edwards model