Quantum phase transition in a 1D transport model with boson affected hopping: Luttinger liquid versus charge-density-wave behavior

Abstract

We solve a very general two-channel fermion-boson model describing charge transport within some background medium by means of a refined pseudo-site density matrix renormalization group (DMRG) technique. Performing a careful finite-size scaling analysis, we determine the ground-state phase diagram and convincingly prove that the model exhibits a metal-insulator quantum phase transition for the half-filled band case. In order to characterize the metallic and insulating regimes we calculate besides the local particle densities and fermion-boson correlation functions, the kinetic energy, the charge structure factor, the Luttinger liquid charge exponent and the single-particle excitation gap for a one-dimensional infinite system.

revised version (including new data) accepted for publication in Phys. Rev. Lett

References in corpus (11)

• Density matrix renormalization group study of the polaron problem in the Holstein model
• Phase diagram of the one-dimensional half-filled extended Hubbard model
• Phase diagram of the one-dimensional Holstein model of spinless fermions
• Intermediate phase of the one dimensional half-filled Hubbard-Holstein model
• Metallicity in the half-filled Holstein-Hubbard model
• Tomonaga-Luttinger parameters for doped Mott insulators
• Smooth Boundary Conditions For Quantum Lattice Systems
• Density-matrix renormalization group study of pairing when electron-electron and electron-phonon interactions coexist: effect of the electronic band structure
• Boson-controlled quantum transport
• Spectral signatures of the Luttinger liquid to charge-density-wave transition
• Correlation-induced metal insulator transition in a two-channel fermion-boson model

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• One-Dimensional Quantum Transport Affected by a Background Medium: Fluctuations versus Correlations
• Orbital-selective charge-density wave in TaTe${}_4$
• Phase separation in the Edwards model
• Edwards polaron formation : From one to three dimension
• Charge-density-wave formation in a half-filled fermion-boson transport model: A projective renormalization approach
• Analytical calculation of the Green's function and Drude weight for a correlated fermion-boson system
• Unconventional superconductivity and interaction induced Fermi surface reconstruction in the two-dimensional Edwards model
• Anderson localization versus charge-density-wave formation in disordered electron systems
• A Green's function decoupling scheme for the Edwards fermion-boson model
• Charge-density-wave formation in the Edwards fermion-boson model at one-third band filling
• Charge-order melting in the one-dimensional Edwards model
• Quantum transport in an environment parametrized by dispersive bosons
• Metal-insulator transition in the Edwards model
• Metal-insulator transition of spinless fermions coupled to dispersive optical bosons
• Binding carriers to a non-magnetic impurity in a two-dimensional square Ising antiferromagnet
• Band-selective Holstein polaron in Luttinger liquid material A0.3MoO3 (A = K, Rb)