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 (51)

• Mott transition in VO2 revealed by infrared spectroscopy and nano-imaging
• Magic continuum in twisted bilayer WSe2
• Strong electronic correlations from Hund's coupling
• The break up of heavy electrons at a quantum critical point
• Electric Field Tunable Correlated States and Magnetic Phase Transitions in Twisted Bilayer-Bilayer Graphene
• How do Fermi liquids get heavy and die?
• Origin of Mott insulating behavior and superconductivity in twisted bilayer graphene
• Quantum magnetism and criticality
• High Temperature Superconductivity in Iron Pnictides and Chalcogenides
• Discovery of Orbital-Selective Cooper Pairing in FeSe
• Janus-faced influence of the Hund's rule coupling in strongly correlated materials
• Orbital-Selective Mott transition out of band degeneracy lifting
• Slave-rotor mean field theories of strongly correlated systems and the Mott transition in finite dimensions
• 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
• Observation of universal strong orbital-dependent correlation effects in iron chalcogenides
• Orbital-selective Mott Phase in Multiorbital Models for Alkaline Iron Selenides K(1-x)Fe(2-y)Se2
• Orbital selective pairing and gap structures of iron-based superconductors
• Theory of the Magnetic Moment in Iron Pnictides
• Visualizing the evolution from the Mott insulator to a charge ordered insulator in lightly doped cuprates
• Kondo Breakdown as a Selective Mott Transition in the Anderson Lattice
• Orbital-selective Mott transitions: Heavy fermions and beyond
• Self-energy-functional theory
• Band insulator to Mott insulator transition in a bilayer Hubbard model
• Emulating heavy fermions in twisted trilayer graphene
• Hundness versus Mottness in a three-band Hubbard-Hund model: On the origin of strong correlations in Hund metals
• Observation of a novel orbital selective Mott transition in Ca${}_{1.8}$Sr${}_{0.2}$RuO${}_4$
• The dual nature of 5f electrons and origin of heavy fermions in U compounds
• Selective Mott transition and heavy fermions
• Electronic phase separation: recent progress in the old problem
• Spontaneous orbital-selective Mott transitions and the Jahn-Teller metal of A${}_3$C${}_{60}$
• Orbital-selective Mott phase in multiorbital models for iron pnictides and chalcogenides
• Underdoped cuprates phenomenology in the 2D Hubbard model within COM(SCBA)
• The Orbitally Selective Mott Phase in Electron Doped Twisted TMDs: A Possible Realization of the Kondo Lattice Model
• Electronic instability, layer selectivity and Fermi arcs in La${}_3$Ni${}_2$O${}_7$
• The Hund-metal path to strong electronic correlations
• From basic properties to the Mott design of correlated delafossites
• Orbital-selective Mott transitions in a doped two-band Hubbard model with crystal field splitting
• Ground state phase diagram of the half-filled bilayer Hubbard model
• Mott Quantum Critical Points at finite doping
• Composite Operator Method analysis of the underdoped cuprates puzzle
• Analytical slave-spin mean-field approach to orbital selective Mott insulators
• High-order correlation effects in the two-dimensional Hubbard model
• Competition between band and Mott insulator in the bilayer Hubbard model: a dynamical cluster approximation study
• Orbital-selective Mott transition and heavy fermion behavior in a bilayer Hubbard model for 3He
• Bands renormalization and superconductivity in the strongly correlated Hubbard model using composite operators method
• The two-orbital Hubbard model and the OSMT
• Hund bands in spectra of multiorbital systems
• Violation of Luttinger's theorem in the simplest doped Mott insulator: Falicov-Kimball model in strong correlation limit

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