Slave-boson approach to the metallic stripe phases with large unit cells

Abstract

Using a rotationally invariant version of the slave-boson approach in spin space we analyze the stability of stripe phases with large unit cells in the two-dimensional Hubbard model. This approach allows one to treat strong electron correlations in the stripe phases relevant in the low doping regime, and gives results representative of the thermodynamic limit. Thereby we resolve the longstanding controversy concerning the role played by the kinetic energy in stripe phases. While the transverse hopping across the domain walls yields the largest kinetic energy gain in the case of the insulating stripes with one hole per site, the holes propagating along the domain walls stabilize the metallic vertical stripes with one hole per two sites, as observed in the cuprates. We also show that a finite next-nearest neighbor hopping $t^{\prime }$ can tip the energy balance between the filled diagonal and half-filled vertical stripes, which might explain a change in the spatial orientation of stripes observed in the high $T_c$ cuprates at the doping $x\simeq 1/16$.

arXiv comment16 pages, 14 figures

References in corpus (48)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• How to detect fluctuating order in the high-temperature superconductors
• Band-structure trend in hole-doped cuprates and correlation with Tcmax
• Coexistence of, and Competition between, Superconductivity and Charge-Stripe Order in La(1.6-x)Nd(0.4)Sr(x)CuO(4)
• Quantum Magnetic Excitations from Stripes in Copper-Oxide Superconductors
• Spatially modulated "Mottness" in La2-xBaxCuO4
• Evolution of the resonance and incommensurate spin fluctuations in superconducting YBa${}_2$Cu${}_3$O${}_{6+x}$
• Stripe order, depinning, and fluctuations in La${}_{1.875}$Ba${}_{0.125}$CuO${}_4$ and La${}_{1.875}$Ba${}_{0.075}$Sr${}_{0.050}$CuO${}_4$
• Static magnetic correlations near the insulating-superconducting phase boundary in La${}_{2-x}$Sr${}_x$CuO${}_4$
• Observation of New Incommensurate Magnetic Correlations at the Lower Critical Concentration for Superconductivity (x=0.05) in La(2-x)Sr(x)CuO4
• Competition Between Stripes and Pairing in a t-t'-J Model
• Direct Observation of a One Dimensional Static Spin Modulation in Insulating La1.95Sr0.05CuO4
• From incommensurate to dispersive spin-fluctuations: The high-energy inelastic spectrum in superconducting YBa2Cu3O6.5
• Static and dynamic spin correlations in the spin-glass phase of slightly-doped La_{2-x}Sr_xCuO_4
• Universal Dispersive Excitations in the High-Temperature Superconductors
• Electronic phase separation in lightly-doped La${}_{2-x}$Sr${}_x$CuO${}_4$
• Interplay of Mott Transition and Ferromagnetism in the Orbitally Degenerate Hubbard Model
• Asymmetry of the electronic states in hole- and electron-doped cuprates: Exact diagonalization study of the t-t'-t''-J model
• Spontaneous rearrangement of the checkerboard charge order to stripe order in La1.5Sr0.5NiO4
• Magnetic fluctuations from stripes in cuprates
• Enhancement of Pairing Correlation by t' in the Two-Dimensional Extende d t-J Model
• One-dimensional metallic behavior of the stripe phase in La${}_{2-x}$Sr${}_x$CuO${}_4$
• Mott transition at large orbital degeneracy: dynamical mean-field theory
• Stripes in Doped Antiferromagnets: Single-Particle Spectral Weight
• Effect of Stripes on Electronic States in Underdoped La_{2-x}Sr_xCuO_4
• Metallic stripe in two dimensions: stability and spin-charge separation
• Unrestricted slave-boson mean-field approximation for the two-dimensional Hubbard model
• Orbital liquid in ferromagnetic manganites: The orbital Hubbard model for $e_g$ electrons
• Striped phases in the two-dimensional Hubbard model with long-range Coulomb interaction
• Evolution of the stripe phase as a function of doping from a theoretical analysis of angle-resolved photoemission data
• A Simple Treatment of Metal-Insulator Transition: Effects of Degeneracy, Temperature and Applied Magnetic Field
• Spin and Charge Structure Factor of the 2-d Hubbard Model
• Stripes, Vibrations and Superconductivity
• Stability of metallic stripes in the extended one-band Hubbard model
• Lattice anisotropy as microscopic origin of static stripes in cuprates
• Freezing of anisotropic spin clusters in La1.98Sr0.02CuO4
• Slave-Boson Mean-Field Theory of the Antiferromagnetic State in the Doubly Degenerate Hubbard Model - the Half-Filled Case -
• Stripe as an effective one-dimensional band of composite excitations
• Spin-fluctuation mechanism of superconductivity in cuprates
• Diagonal static spin correlation in the low temperature orthorhombic Pccn phase of La1.55Nd0.4Sr0.05CuO4
• Stripes and spin-incommensurabilities are favored by lattice anisotropies
• Antiferromagnetism of almost localized fermions: Evolution from Slater-type to Mott-Hubbard gap
• Slave Bosons in Radial Gauge: the Correct Functional Integral Representation and Inclusion of Non-Local Interactions
• Quantum Monte Carlo simulations of the t-Jz model with stripes on the square lattice
• Magnetic and Charge Correlations of the 2-dimensional $t-t^{\prime }-U$ Hubbard model
• Impact of magnetic frustration on the Mott transition within a slave-boson mean-field theory
• Spectral density for a hole in an antiferromagnetic stripe phase
• Half-filled stripes in the t-t'-U Hubbard model

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• Stripes and spin-density waves in the doped two-dimensional Hubbard model: ground state phase diagram
• Magnetism and superconductivity in the $t-t^{\prime }-J$ model
• Interplay between incommensurate phases in the cuprates
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• Rigorous symmetry adaptation of multiorbital rotationally invariant slave-boson theory with application to Hund's rules physics
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• Effect of the next-nearest neighbor hopping on the stability and band structure of the incommensurate phases in the cuprates
• Barnes slave boson approach to the two-site single impurity Anderson model with non-local interaction
• Combining complex and radial slave boson fields within the Kotliar-Ruckenstein representation of correlated impurities
• Charge instabilities of the extended attractive Hubbard Model on the cubic lattice
• Exact results in a slave boson saddle point approach for a strongly correlated electron model
• Charge instabilities of the two-dimensional Hubbard model with attractive nearest neighbour interaction
• Jahn-Teller mechanism of stripe formation in doped layered La${}_{2-x}$Sr${}_x$NiO${}_4$ nickelates
• Charge density wave solutions of the Hubbard model in the composite operator formalism
• Particle-hole symmetry of charge excitation spectra in the paramagnetic phase of the Hubbard model
• Slave-boson based configuration-interaction approach for the Hubbard model
• Exact functional integration of radial and complex slave-boson fields: thermodynamics and dynamics of the two-site extended Hubbard model
• Stripes and Pairing in High Temperature Superconductors
• Effect of the next-nearest-neighbor hopping on the charge collective modes in the paramagnetic phase of the Hubbard model
• Phase coexistence in a half-filled extended Hubbard model
• Mechanism of the reorientation of stripes in the cuprates