Spontaneous layer selective Mott phase in the bilayer Hubbard model

Abstract

Quantum materials featuring both itinerant and localized degrees of freedom exhibit numerous exotic phases and transitions that deviate from the Ginzburg-Landau paradigm. This work uses the composite operator formalism to examine the bilayer strongly correlated Hubbard model. We observe the spontaneous breaking of layer symmetry, where the electron density in one of the layer reaches half-filling, resulting in a layer selective Mott phase (LSMP). This broken symmetry phase becomes unstable at a critical average electronic density away from half-filling. Furthermore, significant layer differentiation persists up to a moderate inter-layer hopping, beyond which the system abruptly transitions to an layer uniform phase (LUP). In the LSMP phase, the electrons in the two layers are weakly hybridized, resulting in a small Fermi surface. The volume of the Fermi surface jumps at the transition from the LSMP to the uniform phase. We also discuss the physical mechanisms leading to the collapse of the LSMP phase under different perturbations.

References in corpus (21)

• Mott transition in VO2 revealed by infrared spectroscopy and nano-imaging
• Strong electronic correlations from Hund's coupling
• Quantum magnetism and criticality
• Orbital-Selective Mott transition out of band degeneracy lifting
• Orbital selective Mott transition in multi-band systems: slave-spin representation and dynamical mean-field theory
• Critical fermi surfaces and non-fermi liquid metals
• High-spin to low-spin and orbital polarization transitions in multiorbital Mott systems
• Hund's coupling key role in multi-orbital correlations
• Orbital-selective Mott Phase in Multiorbital Models for Alkaline Iron Selenides K(1-x)Fe(2-y)Se2
• Theory of the Magnetic Moment in Iron Pnictides
• Kondo Breakdown as a Selective Mott Transition in the Anderson Lattice
• Orbital-selective Mott transitions: Heavy fermions and beyond
• Band insulator to Mott insulator transition in a bilayer Hubbard model
• Selective Mott transition and heavy fermions
• Orbital-selective Mott phase in multiorbital models for iron pnictides and chalcogenides
• Underdoped cuprates phenomenology in the 2D Hubbard model within COM(SCBA)
• The Hund-metal path to strong electronic correlations
• Ground state phase diagram of the half-filled bilayer Hubbard model
• Composite Operator Method analysis of the underdoped cuprates puzzle
• Analytical slave-spin mean-field approach to orbital selective Mott insulators
• Orbital-selective Mott transition and heavy fermion behavior in a bilayer Hubbard model for 3He

Cited by in corpus (5)

• Charge density wave solutions of the Hubbard model in the composite operator formalism
• Topological charge excitations and Green's function zeros in paramagnetic Mott insulators
• Impurity-induced Mott ring states and Mott zeros ring states in the Hubbard operator formalism
• Probing quasiparticle excitations in a doped Mott insulator via Friedel oscillations
• Inverted duality of Hubbard model and an equation for the Green's function