Global Phase Diagram of the High Tc Cuprates

Abstract

The high Tc cuprates have a complex phase diagram with many competing phases. We propose a bosonic effective quantum Hamiltonian based on the projected SO(5) model with extended interactions, which can be derived from the microscopic models of the cuprates. The global phase diagram of this model is obtained using mean-field theory and the Quantum Monte Carlo simulation, which is possible because of the absence of the minus sign problem. We show that this single quantum model can account for most salient features observed in the high Tc cuprates, with different families of the cuprates attributed to different traces in the global phase diagram. Experimental consequences are discussed and new theoretical predictions are presented.

arXiv comment19 pages, 20 figures, with updated references, final version

References in corpus (51)

• How to detect fluctuating order in the high-temperature superconductors
• Electronic Liquid Crystal Phases of a Doped Mott Insulator
• A Four-Unit-Cell Periodic Pattern of Quasiparticle States Surrounding Vortex Cores in Bi2Sr2CaCu2O8+d
• Stochastic series expansion method with operator-loop update
• Antiferromagnetic Order Induced by an Applied Magnetic Field in a High-Temperature Superconductor
• Finite-Size Scaling of the Ground State Parameters of the Two-Dimensional Heisenberg Model
• Neutron Scattering from Magnetic Excitations in Bi_2 Sr_2 Ca_2 O_8+delta
• Spins in the Vortices of a High Temperature Superconductor
• Periodic Density of States Modulations in Superconducting $\mathrm{B}{\mathrm{i}}_2\mathrm{S}{\mathrm{r}}_2\mathrm{CaC}{\mathrm{u}}_2{\mathrm{O}}_{8+\delta }$
• Quasiparticle Scattering Interference in High Temperature Superconductors
• Superconducting Vortex with Antiferromagnetic Core
• Spin ordering quantum transitions of superconductors in a magnetic field
• Static magnetic correlations near the insulating-superconducting phase boundary in La${}_{2-x}$Sr${}_x$CuO${}_4$
• Incommensurate Magnetic Fluctuations in YBa2Cu3O6.6
• Magnetic Resonant Mode in the Single-Layer High Temperature Superconductor Tl${}_2$Ba${}_2$Cu${}_{6+\delta }$
• Spin Susceptibility in Underdoped $\mathbf{YB}{\mathbf{a}}_2\mathbf{C}{\mathbf{u}}_3{\mathbf{O}}_{6+\mathbf{x}}$
• Nature of the quantum phase transitions in the two-dimensional hardcore boson model
• Theory of the Resonant Neutron Scattering of High $T_c$ Superconductors
• Charge order, superconductivity, and a global phase diagram of doped antiferromagnets
• Supersolids in the Bose-Hubbard Hamiltonian
• Plaquette Boson-Fermion Model of Cuprates
• Resonant Spin Excitation in an Overdoped High Temperature Superconductor
• Static and dynamic spin correlations in the spin-glass phase of slightly-doped La_{2-x}Sr_xCuO_4
• Competing orders in a magnetic field: spin and charge order in the cuprate superconductors
• Dynamic Stripes and Resonance in the Superconducting and Normal Phases of YBa2Cu3O6.5 Ortho-II Superconductor
• Finite-Temperature Phase Diagram of Hard-Core Bosons in Two Dimensions
• Enhancement of long-range magnetic order by magnetic field in superconducting La2CuO(4+y)
• Magnetic Dynamics in Underdoped YBCO: Direct Observation of a Superconducting Gap
• Antiferromagnetic ordering in superconducting $\mathbf{YB}{\mathbf{a}}_2\mathbf{C}{\mathbf{u}}_3{\mathbf{O}}_{6.5}$
• Particle-Vortex Duality and the Modular Group: Applications to the Quantum Hall Effect and Other 2-D Systems
• Evidence for Static Magnetism in the Vortex Cores of Ortho-II YBa${}_2$Cu${}_3$O${}_{6.50}$
• Antiferromagnetism and hole pair checkerboard in the vortex state of high Tc superconductors
• CORE Technology and Exact Hamiltonian Real-Space Renormalization Group Transformations
• Evidence for an incommensurate magnetic resonance in La(2-x)Sr(x)CuO(4)
• On the Coexistence of Diagonal and off-Diagonal Long-Range Order, a Monte Carlo Study
• Singlet Stripe Phases in the planar t-J Model
• Magnetic Order in YBa${}_2$Cu${}_3$O${}_{6+x}$ Superconductors
• Magnetic-Field-Induced Localization of Quasiparticles in Underdoped La${}_{2-x}$Sr${}_x$CuO${}_4$ Single Crystals
• Projected SO(5) Models
• Field-Induced Thermal Metal-to-Insulator Transition in Underdoped LSCO
• Bicritical and tetracritical phenomena and scaling properties of the SO(5) theory
• Microscopic phase separation in the overdoped region of high-Tc cuprate superconductors
• Charge density correlations in t-J ladders investigated by the CORE method
• Wigner Lattice Order, Collective Mode, and Superconductivity in La1.985Sr0.015CuO4+delta System
• On the Liaison Between Superconductivity and Phase Separation
• Phase diagram and dynamics of the projected SO(5)-symmetric model of high-$T_c$ superconductivity
• Phase diagrams, critical and multicritical behavior of hard-core Bose-Hubbard models
• Duality and Universality for the Chern-Simons bosons
• Scaling properties of the projected SO(5) model in three dimensions
• Phase separation in effective hard-core boson and triplet models in one and two dimensions
• Superconductivity and antiferromagnetism in a hard-core boson spin-1 model in two dimensions

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• Quasiparticle Scattering Interference in Superconducting Iron-pnictides
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• Heat transport in Bi_{2+x}Sr_{2-x}CuO_{6+δ}: departure from the Wiedemann-Franz law in the vicinity of the metal-insulator transition
• The One-Particle Spectral Function and the Local Density of States in a Phenomenological Mixed-Phase Model for High-Temperature Superconductors
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