Exact solutions for the periodic Anderson model in 2D: A Non-Fermi liquid state in normal phase

Abstract

Presenting exact solutions for the two dimensional periodic Anderson model with finite and nonzero on-site interaction U>0, we are describing a rigorous non-Fermi liquid phase in normal phase and 2D. This new state emerges in multi-band interacting Fermi systems above half filling, being generated by a flat band effect. The momentum distribution function n_k together with its derivatives of any order is continuous. The state possesses a well defined Fermi energy, but the Fermi momentum concept is not definable, so the Fermi surface in k-space is missing. The state emerges in the vicinity of a Mott insulating phase when lattice distortions are present, is highly degenerated and paramagnetic. A gap is present at high U in the density of low lying excitations. During low lying excitations, quasi-particles are not created above the Fermi level, only the number of particles at the Fermi energy increases.

46 pages, 2 ps files, to be published in Phys. Rev. B

Cited by in corpus (18)

• Exact Insulating and Conducting Ground States of a Periodic Anderson Model in Three Dimensions
• Exact Ground States of the Periodic Anderson Model in D=3 Dimensions
• Exact multi-electronic electron-concentration dependent ground-states for disordered two-dimensional two-band systems in presence of disordered hoppings and finite on-site random interactions
• Exact stripe, checkerboard, and droplet ground states in two dimensions
• Plaquette operators used in the rigorous study of ground-states of the Periodic Anderson Model in $D=2$ dimensions
• Gutzwiller Wave-Function Solution for Anderson Lattice Model: Emerging Universal Regimes of Heavy Quasiparticle States
• Delocalization effect of the Hubbard repulsion in exact terms and two dimensions
• Exact ground states of correlated electrons on pentagon chains
• Correlation and confinement induced itinerant ferromagnetism in chain structures
• Interaction created effective flat bands in conducting polymers
• A path to poor coherence in heavy fermions from Mott physics and hybridization
• Ferromagnetism without flat bands in thin armchair nanoribbons
• Pentagon chain in external fields
• Insulator-pseudogap crossover in the Lieb lattice
• Spin-orbit interactions may relax the rigid conditions leading to flat bands
• Flat band ferromagnetism without connectivity conditions in the flat band
• Itinerant surfaces with spin-orbit couplings, correlations and external magnetic fields: Exact results
• Magnetic phases of the periodic Anderson model in two dimensions