Possible charge instabilities in two-dimensional doped Mott insulators

Abstract

Motivated by the growing evidence of the importance of charge fluctuations in the pseudogap phase in high-temperature cuprate superconductors, we apply a large-N expansion formulated in a path integral representation of the two-dimensional t-J model on a square lattice. We study all possible charge instabilities of the paramagnetic state in leading order of the 1/N expansion. While the d-wave charge density wave (flux phase) becomes the leading instability for various choices of model parameters, we find that a d-wave Pomeranchuk (electronic nematic phase) instability occurs as a next leading one. In particular, the nematic state has a strong tendency to become inhomogeneous. In the presence of a large second nearest-neighbor hopping integral, the flux phase is suppressed and the electronic nematic instability becomes leading in a high doping region. Besides these two major instabilities, bond-order phases occur as weaker instabilities close to half-filling. Phase separation is also detected in a finite temperature region near half-filling.

28 pages, 6 figures

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Cited by in corpus (56)

• Bond order in two-dimensional metals with antiferromagnetic exchange interactions
• Charge Order in the Pseudogap Phase of Cuprate Superconductors
• Robust d-wave superconductivity in the square-lattice $t$-$J$ model
• Bond order instabilities in a correlated two-dimensional metal
• Connecting high-field quantum oscillations to zero-field electron spectral functions in the underdoped cuprates
• Interplay between pair-density-wave and charge-density-wave orders in underdoped cuprates
• Density-wave instabilities of fractionalized Fermi liquids
• Mean field theory of competing orders in metals with antiferromagnetic exchange interactions
• Plasmon excitations in layered high-Tc cuprates
• Origin of the high-energy charge excitations observed by resonant inelastic x-ray scattering in cuprate superconductors
• Charge ordering in three-band models of the cuprates
• Metal-insulator transition in the ground-state of the three-band Hubbard model at half-filling
• Close inspection of plasmon excitations in cuprate superconductors
• Generalized one-band model based on Zhang-Rice singlets for Tetragonal CuO
• Dual structure in the charge excitation spectrum of electron-doped cuprates
• Strong particle-hole asymmetry of charge instabilities in doped Mott insulators
• Magnetic orders in the hole doped three-band Hubbard model: spin spirals, nematicity, and ferromagnetic domain walls
• $d$-wave bond-order charge excitations in electron-doped cuprates
• Phase Competition and Anomalous Thermal Evolution in High-Temperature Superconductors
• Charge- and pair-density-wave orders in the one-band Hubbard model with dynamical mean field theory
• Out-of-plane bond-order phase, superconductivity, and their competition in the $t$-$J_{\parallel }$-$J_{\perp }$ model: Possible implications for bilayer nickelates
• Impact of electron correlations on two-particle charge response in electron- and hole-doped cuprates
• Electron self-energy from quantum charge fluctuations in the layered t-J model with long-range Coulomb interaction
• Charge-Density-Excitation Spectrum in the t-t'-J-V Model
• Theoretical insights into electronic nematic order, bond-charge orders, and plasmons in cuprate superconductors
• Emergence of charge order in a staggered loop-current phase of cuprate high-temperature superconductors
• Structure of the Charge-Density Wave in Cuprate Superconductors: Lessons from NMR
• Doping dependence of d-wave bond-charge excitations in electron-doped cuprates
• Short-range charge fluctuations in the two-dimensional Hubbard model
• Theory of charge dynamics in bilayer electron system with long-range Coulomb interaction
• Superconductivity with and without glue and the role of the double-occupancy forbidding constraint in the t-J-V model
• Real space Eliashberg approach to charge order of electrons coupled to dynamic antiferromagnetic fluctuations
• Ring-like shaped charge modulations in the t-J model with long-range Coulomb interaction
• Quantum Oscillation as Diagnostics of Pseudogap State in Underdoped Cuprates
• Electronic nematic phase transition in the presence of anisotropy
• Renormalization Group Analysis of a Fermionic Hot Spot Model
• Competition between spin-induced charge instabilities in underdoped cuprates
• The Effect of Pointlike Impurities on d_{x^2-y^2} Charge Density Waves in Cuprate Superconductors
• Low-energy plasmon excitations in infinite-layer nickelates
• Mean-field theory on a coupled system of ferromagnetism and electronic nematic order
• Flux phase as possible time-reversal symmetry breaking surface states of high-$T_C$ cuprate superconductors
• Flux Phase as a Possible Ordered State in t-J Model
• Plasmarons in high-temperature cuprate superconductors
• Spin and bond-charge excitation spectra in correlated electron systems near antiferromagnetic phase
• Flux Phase in Bilayer $t-J$ Model: Time-Reversal Symmetry Breaking Surface State without Spontaneous Magnetic Field
• Flux Phase in Bilayer $t-J$ Model
• Ginzburg-Landau Theory for Flux Phase and Superconductivity in $t-J$ Model
• Self-energy effects in cuprates and the dome-shaped behavior of the superconducting critical temperature
• Strong-coupling theory of bilayer plasmon excitations
• Pseudogap in cuprates driven by d-wave flux-phase order proximity effects: A theoretical analysis from Raman and ARPES experiments
• Spontaneous Magnetic Field near a Time-Reversal Symmetry Broken Surface State of YBCO
• Beyond on-site Hubbard interaction in charge dynamics of cuprate superconductors
• Spontaneous Magnetic Field and Local Density of States near a Time-Reversal Symmetry Broken Surface State of YBCO
• Strongly correlated model of acousticlike plasmons persisting across the phase diagram of cuprate superconductors
• Symmetry classification of bond order parameters in cuprates
• Theoretical perspectives on charge dynamics in high-temperature cuprate superconductors