Topological structures in unconventional scenario for 2D cuprates

Abstract

We introduce a minimal model to describe the charge degree of freedom in cuprates with the on-site Hilbert space reduced to only the three valence states CuO${}_4^{7-,6-,5-}$ (nominally Cu${}^{1+,2+,3+}$) and make use of the S=1 pseudospin formalism. The formalism constitutes a powerful method to study complex phenomena in interacting quantum systems characterized by the coexistence and competition of various ordered states. Overall, such a framework provides a simple and systematic methodology to predict and discover new kinds of orders. In particular, the pseudospin formalism provides the most effective way to describe different topological structures, in particular, due to a possibility of a geometrical two-vector description of the on-site states. We introduce and analyze effective pseudospin Hamiltonian with on-site and inter-site charge correlations, two types of a correlated one-particle transfer and two-particle, or the composite boson transfer. The 2D S=1 pseudospin system is prone to a creation of different topological structures, which form topologically protected inhomogeneous distributions of the eight local S=1 pseudospin order parameters. We present a short overview of localized topological structures, typical for S=1 (pseudo)spin systems, focusing on unexpected antiphase domain walls in parent cuprates and so-called quadrupole skyrmion, which are believed to be candidates for a topological charge excitation in parent or underdoped cuprates. Puzzlingly, these unconventional structures can be characterized by an uniform distribution of the mean on-site charge, that makes these invisible for X-rays. Quasiclassical approximation and computer simulation are applied to analyze localized topological defects and evolution of the domain structures in "negative-$U$" model under charge order-superfluid phase transition.

arXiv comment25 pages, 7 figures. arXiv admin note: text overlap with arXiv:1409.5064

References in corpus (50)

• Spontaneous Skyrmion Ground States in Magnetic Metals
• Intra-unit-cell electronic nematicity of the high-Tc copper-oxide pseudogap states
• A Theory of the Pseudogap State of the Cuprates
• Inhomogeneity of charge density wave order and quenched disorder in a high Tc superconductor
• Diamagnetism and Cooper pairing above $T_c$ in cuprates
• Phase separation in supersolids
• Rise and fall of hidden string order of lattice bosons
• Oscillating Superfluidity of Bosons in Optical Lattices
• Evolution of the Hall Coefficient and the Peculiar Electronic Structure of the Cuprate Superconductors
• Nature of the quantum phase transitions in the two-dimensional hardcore boson model
• Bose-Einstein to BCS Crossover Picture for High-T_c Cuprates
• Finite-Temperature Phase Diagram of Hard-Core Bosons in Two Dimensions
• Fractionalization in the cuprates: Detecting the topological order
• Algebraic Approach to Interacting Quantum Systems
• Strong charge fluctuations manifested in the high-temperature Hall coefficient of high-T_c cuprates
• Field Induced Supersolid Phase in Spin-One Heisenberg Models
• Skyrmion in a real magnetic film
• Emerging Bosons with Three-Body Interactions from Spin-1 Atoms in Optical Lattices
• A Theory for the High-T_c Cuprates: Anomalous Normal-State and Spectroscopic Properties, Phase Diagram, and Pairing
• Composite-Fermion Theory for Pseudogap, Fermi Arc, Hole Pocket, and Non-Fermi-Liquid of Underdoped Cuprate Superconductors
• What is the true charge transfer gap in parent insulating cuprates?
• Skyrmions in a Doped Antiferromagnet
• Disproportionation and electronic phase separation in parent manganite LaMnO_3
• Mid-infrared absorption in YBa2Cu3O6: Failure of spin-wave theory in undoped cuprates?
• Evidence for a charge collective mode associated with superconductivity in copper oxides from neutron and x-ray scattering measurements of La${}_{2-x}$Sr${}_x$CuO${}_4$
• Un-Fermi Liquids: Unparticles in Strongly Correlated Electron Matter
• Spin and Charge Texture around In-Plane Charge Centers in the CuO_2 planes
• Skymrion lattice melting in the quantum Hall system
• Magnetic skyrmions and their lattices in triplet superconductors
• Quantum skyrmions and the destruction of long-range antiferromagnetic order in the high-Tc superconductors La(2-x)Sr(x)CuO(4) and YBa(2)Cu(3)O(6+x)
• High Temperature Superconductivity: the explanation
• Half-skyrmion picture of single hole doped CuO_2 plane
• Quantum Critical Dynamics of the Skyrmion Lattice
• Topological solitons in highly anisotropic two dimensional ferromagnets
• Pseudogap phase in cuprates: oxygen orbital moments instead of circulating currents
• Dipole and Quadrupole Skyrmions in S=1 (Pseudo)Spin Systems
• Dynamical stripe correlations and the spin fluctuations in cuprate superconductors
• Topological phase separation in 2D quantum lattice Bose-Hubbard system away from half-filling
• The two-component physics in cuprates in the real space and in the momentum representation
• Perspectives of the disproportionation driven superconductivity in strongly correlated 3d compounds
• Contrasting Phenomenology of NMR Shifts in Cuprate Superconductors
• Topological phase separation in 2D hard-core Bose-Hubbard system away from half-filling
• An extended infrared study of the (p,T) phase diagram of the p-doped Cu-O plane
• Stable topological textures in a classical 2D Heisenberg model
• Nonbonding oxygen holes and spinless scenario of magnetic response in doped cuprates
• The variational symmetries and conservation laws in classical theory of Heisenberg (anti)ferromagnet
• Overlap integral for quantum skyrmions
• Mechanism of unconventional superconductivity induced by skyrmion excitations in two-dimensional strongly-correlated electron systems
• Elementary Excitations of Quantum Critical 2+1 D Antiferromagnets
• Pseudospin S=1 description of the cuprate complexity: the charge triplets model

Cited by in corpus (6)

• Effective-field theory for high-$T_c$ cuprates
• Classifying induced superconductivity in atomically thin Dirac-cone materials
• Model of charge triplets for high-T${}_c$ cuprates
• Pseudo-transition between antiferromagnetic and charge orders in a minimal spin-pseudospin model of one-dimensional cuprates
• Phase separation in high-T${}_c$ cuprates
• Monte Carlo simulation of a model cuprate