Phase separation in the Edwards model
arXiv:1209.1810 · doi:10.1103/PhysRevB.86.155149
Abstract
The nature of charge transport within a correlated background medium can be described by spinless fermions coupled to bosons in the model introduced by Edwards. Combining numerical density matrix renormalization group and analytical projector-based renormalization methods we explore the ground-state phase diagram of the Edwards model in one dimension. Below a critical boson frequency any long-range order disappears and the system becomes metallic. If the charge carriers are coupled to slow quantum bosons the Tomonaga-Luttinger liquid is attractive and finally makes room for a phase separated state, just as in the t-J model. The phase boundary separating repulsive from the attractive Tomonaga-Luttinger liquid is determined from long-wavelength charge correlations, whereas fermion segregation is indicated by a vanishing inverse compressibility. On approaching phase separation the photoemission spectra develop strong anomalies.
6 pages, 5 figures, final version
References in corpus (20)
- Electric Field Effect in Atomically Thin Carbon Films
- Many-Body Physics with Ultracold Gases
- Dynamical density-matrix renormalization-group method
- Effect of Holstein phonons on the electronic properties of graphene
- Tomonaga-Luttinger parameters for doped Mott insulators
- Ground-State Phase Diagram of the 1D t-J model
- Microscopic modelling of doped manganites
- Single-particle excitations and phonon softening in the one-dimensional spinless Holstein model
- Orbitally induced string formation in the spin-orbital polarons
- Boson-controlled quantum transport
- Momentum average approximation for models with boson-modulated hopping: Role of closed loops in the dynamical generation of a finite quasiparticle mass
- Renormalization approach to many-particle systems
- Quantum phase transition in a 1D transport model with boson affected hopping: Luttinger liquid versus charge-density-wave behavior
- Controlled hole doping of a Mott insulator of ultracold fermionic atoms
- Fluctuation induced hopping and spin polaron transport
- Correlation-induced metal insulator transition in a two-channel fermion-boson model
- One-Dimensional Quantum Transport Affected by a Background Medium: Fluctuations versus Correlations
- Analytical calculation of the Green's function and Drude weight for a correlated fermion-boson system
- Charge-density-wave formation in a half-filled fermion-boson transport model: A projective renormalization approach
- A Green's function decoupling scheme for the Edwards fermion-boson model
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- Edwards polaron formation : From one to three dimension
- Unconventional superconductivity and interaction induced Fermi surface reconstruction in the two-dimensional Edwards model
- Linear response within the projection-based renormalization method: Many-body corrections beyond the random phase approximation
- Charge-density-wave formation in the Edwards fermion-boson model at one-third band filling
- Metal-insulator transition of spinless fermions coupled to dispersive optical bosons