One-band tight-binding model parametrization of the high-$T_c$ cuprates, including the effect of $k_z$-dispersion

Abstract

We discuss the effects of interlayer hopping and the resulting $k_z$-dispersion in the cuprates within the framework of the one-band tight binding (TB) model Hamiltonian. Specific forms of the dispersion relations in terms of the in-plane hopping parameters $t$, $t^{\prime }$, $t^{\prime \prime }$ and $t^{\prime \prime \prime }$ and the effective interlayer hopping $t_z$ in La${}_{2-x}$Sr${}_x$CuO${}_4$ (LSCO) and Nd${}_{2-x}$Ce${}_x$CuO${}_4$ (NCCO) and the added intracell hopping $t_{bi}$ between the CuO${}_2$ bilayers in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_8$ (Bi2212) are presented. The values of the `bare' parameters are obtained via fits with the first principles LDA-based band structures in LSCO, NCCO and Bi2212. The corresponding `dressed' parameter sets which account for correlation effects beyond the LDA are derived by fitting experimental FS maps and dispersions near the Fermi energy in optimally doped and overdoped systems. The interlayer couplings $t_z$ and $t_{bi}$ are found generally to be a substantial fraction of the in-plane hopping $t$, although the value of $t_z$ in NCCO is anomalously small, reflecting absence of apical O atoms in the crystal structure. Our results provide some insight into the issues of the determination of doping from experimental FS maps in Bi2212, the role of intercell coupling in c-axis transport, and the possible correlations between the doping dependencies of the binding energies of the Van Hove singularities (VHSs) and various prominent features observed in the angle-resolved photoemission (ARPES) and tunneling spectra of the cuprates.

arXiv comment14 pages, 14 figures

References in corpus (24)

• Evidence for ubiquitous strong electron-phonon coupling in high-temperature superconductors
• LDA energy bands, low-energy Hamiltonians, t', t'', t_{perp}(k), and J_{perp}
• Band-structure trend in hole-doped cuprates and correlation with Tcmax
• Effect of chemical inhomogeneity in the bismuth-based copper oxide superconductors
• Doping dependence of an n-type cuprate superconductor investigated by ARPES
• Electronic structure and magnetism of Fe${}_{3-x}$V${}_x$X (X = Si, Ga and Al) alloys by the KKR-CPA method
• Electronic Spectra and Their Relation to the (pi,pi) Collective Mode in High-Tc Superconductors
• Doping dependent evolution of the electronic structure of La2-xSrxCuO4 in the superconducting and metallic phases
• Phenomenological Models for the Gap Anisotropy of Bi-2212 as Measured by ARPES
• The neutron resonance: modeling photoemission and tunneling data in the superconducting state of Bi_2Sr_2CaCu_2O_{8+d}
• Anomalous electronic structure and pseudogap effects in Nd_1.85Ce_0.15CuO_4
• Mass-renormalized electronic excitations at ($\pi$, 0) in the superconducting state of $B{i}_{2}S{r}_{2}CaC{u}_2{O}_{8+\delta }$
• The superfluid density in cuprate high-Tc superconductors - a new paradigm
• Doubling of the bands in overdoped Bi2Sr2CaCu2O8-probable evidence for c-axis bilayer coupling
• Dual Nature of the Electronic Structure of the Stripe Phase
• Surprises in the doping dependence of the Fermi surface in Bi(Pb)-2212
• Doping dependence of the Fermi surface in Bi(Pb)2212
• Effects of next-nearest-neighbor hopping $t^{\prime }$ on the electronic structure of cuprates
• Influence of the Third Dimension of Quasi-Two-Dimensional Cuprate Superconductors on Angle-Resolved Photoemission Spectra
• ARPES study of Pb doped Bi_2Sr_2CaCu_2O_8 - a new Fermi surface picture
• An angle-resolved photoemission spectral function analysis of the electron doped cuprate Nd_1.85Ce_0.15CuO_4
• Modeling scanning tunneling spectra of $B{i}_{2}S{r}_{2}CaC{u}_2{O}_{8+\delta }$
• Mode-Coupling Model of Mott Gap Collapse in the Cuprates: Natural Phase Boundary for Quantum Critical Points
• A Universal Intrinsic Scale of Hole Concentration for High-Tc Cuprates

Cited by in corpus (126)

• The Hubbard model: A computational perspective
• Charge density wave origin of cuprate checkerboard visualized by scanning tunneling microscopy
• Thermodynamic signatures of quantum criticality in cuprates
• Anomalous superconductivity and its competition with antiferromagnetism in doped Mott insulators
• A Systematic Study of Electron-Phonon Coupling to Oxygen Modes Across the Cuprates
• High-temperature topological superconductivity in twisted double layer copper oxides
• Evidence for complex order parameter in La_{1.83}Sr_{0.17}CuO_4
• High-energy kink in high-temperature superconductors
• Apical oxygens and correlation strength in electron and hole doped copper oxides
• Three-Dimensional Fermi Surface of Overdoped La-Based Cuprates
• Pseudogap phase of cuprate superconductors confined by Fermi surface topology
• Phase Diagram of Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ Revisited
• A Theory for the High-T_c Cuprates: Anomalous Normal-State and Spectroscopic Properties, Phase Diagram, and Pairing
• High Energy Dispersions in Bi2Sr2CaCu2O8 High Temperature Superconductor from Laser-Based Angle-Resolved Photoemission
• Raising Bi-O bands above the Fermi energy level of hole-doped Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ and other cuprate superconductors
• Nonequilibrium enhancement of high-temperature superconductivity in a 3D model of cuprates
• Intermediate Coupling Model of the Cuprates
• Low energy theory of the t-t'-t''-U Hubbard Model at half-filling: interaction strengths in cuprate superconductors and an effective spin-only description of La_2CuO_4
• Electronic Origin of High-Tc Maximization and Persistence in Trilayer Cuprate Superconductors
• Doping a moiré Mott Insulator: A t-J model study of twisted cuprates
• A competing order scenario of two-gap behavior in hole doped cuprates
• Origin of the high-energy kink or the waterfall effect in the photoemission spectrum of the $\mathrm{B}{\mathrm{i}}_2\mathrm{S}{\mathrm{r}}_2\mathrm{CaC}{\mathrm{u}}_2{\mathrm{O}}_8$ high-temperature superconductor
• Paramagnon-induced dispersion anomalies in the cuprates
• Correlation between Fermi surface transformations and superconductivity in the electron-doped high-$T_c$ superconductor Nd${}_{2-x}$Ce${}_x$CuO${}_4$
• Optical model-solution to the competition between a pseudogap phase and a Mott-gap phase in high-temperature cuprate superconductors
• Acoustic plasmons and conducting carriers in hole-doped cuprate superconductors
• Determining the Electron-Phonon Coupling in Superconducting Cuprates by Resonant Inelastic X-ray Scattering: Methods and Results on Nd${}_{1+x}$Ba${}_{2-x}$Cu${}_3$O${}_{7-\delta }$
• Mode-selective coupling of coherent phonons to the Bi2212 electronic band structure
• Nonmonotonic $d_{x^2-y^2}$ superconducting gap in electron-doped Pr${}_{0.89}$LaCe${}_{0.11}$CuO${}_4$: Evidence of coexisting antiferromagnetism and superconductivity?
• Magic angles and correlations in twisted nodal superconductors
• Saddle-point van Hove singularity and the phase diagram of high-Tc cuprates
• Excitation energy map of the high-energy dispersion anomalies in cuprates
• Gutzwiller Magnetic Phase Diagram of the Cuprates
• Finite band inversion of ARPES in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ in comparison with optics
• Spectral decomposition and matrix element effects in scanning tunneling spectroscopy of Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Current- and field-induced topology in twisted nodal superconductors
• First-Principles Calculation of Spin and Orbital Contributions to Magnetically Ordered Moments in Sr${}_2$IrO${}_4$
• Gapped collective charge excitations and interlayer hopping in cuprate superconductors
• Extremely Correlated Fermi Liquid Description of Normal State ARPES in Cuprates
• Superconducting electronic state in optimally doped YBa2Cu3O7-d observed with laser-excited angle-resolved photoemission spectroscopy
• Emergence of non-Fermi-liquid behavior due to Fermi surface reconstruction in the underdoped cuprate superconductors
• A candidate Theory for the "Strange Metal" phase at Finite Energy Window
• Distinct Superconducting Gap on Two Bilayer-Split Fermi Surface Sheets in $B{i}_{2}S{r}_{2}CaC{u}_2{O}_{8+\delta }$ Superconductor
• Revealing the Coulomb interaction strength in a cuprate superconductor
• Doping phase diagram of a Hubbard model for twisted bilayer cuprates
• Emergence of pseudogap from short-range spin-correlations in electron doped cuprates
• Fidelity and superconductivity in two-dimensional t-J models
• Momentum-space electronic structures and charge orders of high-temperature superconductors Ca2-xNaxCuO2Cl2 and Bi2Sr2CaCu2O8+delta
• Observation of cyclotron resonance and measurement of the hole mass in optimally-doped La${}_{2-x}$Sr${}_x$CuO${}_4$
• Spin fluctuations associated with the collapse of the pseudogap in a cuprate superconductor
• Reconstructing the bulk Fermi surface and the superconducting gap properties from Neutron Scattering experiments
• Continuous doping of a cuprate surface: new insights from in-situ ARPES
• Superfluid stiffness in cuprates: Effect of Mott transition and phase competition
• Charge trapping and super-Poissonian noise centers in a cuprate high-temperature superconductor
• Tunneling spectroscopy and Majorana modes emergent from topological gapless phases in high-Tc cuprate superconductors
• Phase Diagram, $d$-Wave Superconductivity, and Pseudogap of the $t$-$t^{\prime }$-$J$ Model at Finite Temperature
• Gutzwiller Magnetic Phase Diagram of the Undoped t-t'-U Hubbard Model
• Microscopic theory of resonant soft x-ray scattering in systems with charge order
• Extraction of Electron Self-Energy and Gap Function in the Superconducting State of Bi_2Sr_2CaCu_2O_8 Superconductor via Laser-Based Angle-Resolved Photoemission
• Probing the interlayer coupling in 2$H$-NbS${}_2$ via soft x-ray angle-resolved photoemission spectroscopy
• Mott transition and pseudogap of the square-lattice Hubbard model: results from center-focused cellular dynamical mean-field theory
• Theory of (001) surface and bulk states in Y${}_{1-y}$Ca${}_y$Ba${}_2$Cu${}_3$O${}_{7-\delta }$}
• Extremely Correlated Fermi Liquids: Self consistent solution of the second order theory
• Impact of $e-e$ interactions on the superfluid density of dirty superconductors
• Density Waves Cause Sub-Gap Structures but no Pseudogap in Superconducting Cuprates
• Aspects of the Normal State Resistivity of Cuprate Superconductors
• Out-of-plane thermopower of strongly correlated layered systems: an application to Bi_2(Sr,La)_2CaCu_2O_{8+δ}
• Superfluid ground state phase diagram of the two-dimensional Hubbard model in the emergent Bardeen-Cooper-Schrieffer regime
• Phenomenological model for the normal state ARPES line shapes of high temperature superconductors
• Interplay of spin and charge order in the electron-doped cuprates
• Landscape of coexisting excitonic states in the insulating single-layer cuprates and nickelates
• X-ray absorption near-edge spectra of overdoped La_2-xSr_xCuO_4 high-T_c superconductors
• Lindhard and RPA susceptibility computations in extended momentum space in electron doped cuprates
• Josephson effects in twisted nodal superconductors
• Extracting correlation effects from Momentum-Resolved Electron Energy Loss Spectroscopy (M-EELS): Synergistic origin of the dispersion kink in Bi${}_{2.1}$Sr${}_{1.9}$CaCu${}_2$O${}_{8+x}$
• Spin texture in a bilayer high-temperature cuprate superconductor
• Extremely Correlated Fermi Liquid theory of the $t$-$J$ model in 2 dimensions: Low Energy properties
• Model of charge triplets for high-T${}_c$ cuprates
• Nanoscale phase separation in deep underdoped Bi${}_2$Sr${}_2$CuO${}_{6+\delta }$ and Ca${}_2$CuO${}_2$Cl${}_2$
• Modulation of pairing interaction in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ by an O dopant: a density functional theory study
• A 3D Tight-Binding Model for La-Based Cuprate Superconductors
• Electronic band structure of a superconducting nickelate probed by the Seebeck coefficient in the disordered limit
• Impact of electron correlations on two-particle charge response in electron- and hole-doped cuprates
• Electron-like Fermi surface and in-plane anisotropy due to chain states in YBa${}_2$Cu${}_3$O${}_{7-\delta }$ superconductors
• Superconductivity in bilayer $t$-$t^{\prime }$ Hubbard models
• A picture of pseudogap phase related to charge fluxes
• Theory of charge dynamics in bilayer electron system with long-range Coulomb interaction
• Incoherent mid-infrared charge excitation and the high energy anomaly in the photoemission spectra of cuprates
• Origin of the Fermi arcs in cuprates: a dual role of quasiparticle and pair excitations
• Doping dependence of chiral superconductivity in near $45^{\circ }$ twisted bilayer cuprates
• Unusual Low-Energy Collective Charge Excitations in High-$T_c$ Cuprate Superconductors
• Interlayer Coupling Induced Quasiparticles
• Crossover from inelastic magnetic scattering of Cooper pairs to spin-wave dispersion produces low-energy kink in cuprates
• Self Energy and Fluctuation Spectra in Cuprates: Comparing Optical and Photoemission Results
• Manifestations of spin-orbit coupling in a cuprate superconductor
• Linking Dynamic and Thermodynamic Properties of Cuprates; an ARPES study of (CaLa)(BaLa)${}_2$Cu${}_3$O${}_y$
• Gutzwiller Charge Phase Diagram of Cuprates, including Electron-Phonon Coupling Effects
• Tuning topological superconductivity within the $t$-$J$-$U$ model of twisted bilayer cuprates
• The Hall Number, Optical Sum Rule and Carrier Density for the $t$-$t^{\prime }$-$J$ model
• Hole-Like Fermi Surface in the Overdoped Non-Superconducting Bi${}_{1.8}$Pb${}_{0.4}$Sr${}_2$CuO${}_{6+\delta }$
• Theory of symmetry-resolved quench-drive spectroscopy: Nonlinear response of phase-fluctuating superconductors
• First principle prediction of structural distortions in the cuprates and their impact on the electronic structure
• Supercurrent-induced Anomalous Thermal Hall Effect as a New Probe to Superconducting Gap Anisotropy
• Doping Dependence of Spin-Momentum Locking in Bismuth-Based High-Temperature Cuprate Superconductors
• Minimal model of charge and pairing density waves in X-ray scattering experiments
• Pairing susceptibility in the weakly interacting multilayer Hubbard model evaluated by direct perturbative expansion
• Two component spin-fermion model for high-$T_c$ cuprates: Applications to neutron scattering and ARPES experiments
• Incommensurate magnetic order: A fingerprint for electronic correlations in hole-doped cuprates
• Theory of anisotropic elastoresistivity of two-dimensional extremely strongly correlated metals
• A Unified Theory for the Cuprates, Iron-Based and Similar Superconducting Systems: Application for Spin and Charge Excitations in the Hole-Doped Cuprates
• Enhanced Josephson tunneling between high temperature superconductors through a normal pseudogap underdoped cuprate with a finite energy cooperon
• Nodeless superconducting gap induced by odd parity pair density wave in underdoped cuprates
• The k-space Origins of Scattering in Bi2Sr2CaCu2O8+x
• Twisted Nodal Superconductors
• Superconducting phase interference effect in momentum space
• Anomalous Nodal Gap in a Doped Spin-1/2 Antiferromagnetic Mott Insulator
• Cooper approach to pair formation in a tight-binding model of La-based cuprate superconductors
• Quantitative Determination of the Pairing Interactions for High Temperature Superconductivity in Cuprates
• Coulomb electron pairing in a tight-binding model of La-based cuprate superconductors
• Boosting superconductivity in ultrathin YBa${}_2$Cu${}_3$O${}_{7-\delta }$ films via nanofaceted substrates
• Shallow core levels, or how to determine the doping and $T_c$ of Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ and Bi${}_2$Sr${}_2$CuO${}_{6+\delta }$ without cooling
• Observation of correlated plasmons in low-valence nickelates
• Hartree-Fock with Nambu spinors, and d-wave condensation in the 2D Hubbard model
• Beyond on-site Hubbard interaction in charge dynamics of cuprate superconductors
• Electronic Structure and Superconducting Gap of HgBa${}_2$Ca${}_2$Cu${}_3$O${}_{8+\delta }$ Revealed by Laser-Based Angle-Resolved Photoemission Spectroscopy
• Transverse voltage in anisotropic hydrodynamic conductors