Violation of Luttinger's theorem in the simplest doped Mott insulator: Falicov-Kimball model in strong correlation limit
arXiv:2204.01203 · doi:10.1103/PhysRevB.106.195117
Abstract
The Luttinger's theorem has long been taken as the key feature of Landau's Fermi liquid, which signals the presence of quasiparticles. Here, by the unbiased Monte Carlo method, violation of Luttinger's theorem is clearly revealed in the Falicov-Kimball (FK) model, indicating the robust correlation-driven non-Fermi liquid characteristic under any electron density. Introducing hole carriers to the half-filled FK leads to Mott insulator-metal transition, where the Mott quantum criticality manifests unconventional scaling behavior in transport properties. Further insight on the violation of the Luttinger's theorem is examined by combining Hubbard-I approximation with a composite fermion picture, which emphasizes the importance of a mixed excitation of the itinerant electron and the composite fermion. Interestingly, when compared FK model with a binary disorder system, it suggests that the two-peak band structure discovered by Monte Carlo and Hubbard-I approaches is underlying the violation of Luttinger's theorem.
10 pages, 9 figures
References in corpus (16)
- Lattice symmetry breaking in cuprate superconductors: Stripes, nematics, and superconductivity
- Striped superconductors: How the cuprates intertwine spin, charge and superconducting orders
- Quantum frustration in organic Mott insulators: from spin liquids to unconventional superconductors
- Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids
- Appearance of fluctuating stripes at the onset of the pseudogap in the high-Tc Superconductor Bi2Sr2CaCu2O8+x
- Evidence for unusual superconducting correlations coexisting with stripe order in La(1.875)Ba(0.125)CuO(4)
- Broken translational and rotational symmetry via charge stripe order in underdoped YBCO
- Bulk magnetic order in a two dimensional Ni1+/Ni2+ (d9/d8) nickelate, isoelectronic with superconducting cuprates
- Spin stripe order in a square planar trilayer nickelate
- Hour-glass magnetic spectrum in an insulating, hole-doped antiferromagnet
- Luttinger sum rule for finite systems of correlated electrons
- A counterexample to the conjectured Planckian bound on transport
- Non-perturbative conserving approximations and Luttinger's sum rule
- Breakdown of the Luttinger sum rule within the Mott-Hubbard insulator
- The one-dimensional Long-Range Falikov-Kimball Model: Thermal Phase Transition and Disorder-Free Localisation
- Violation of the Luttinger sum rule within the Hubbard model on a triangular lattice