Lower Pseudogap Phase: A Spin/Vortex Liquid State

Abstract

The pseudogap phase is considered as a new state of matter in the phase string model of the doped Mott insulator, which is composed of two distinct regimes known as upper and lower pseudogap phases, respectively. The former corresponds to the formation of spin singlet pairing and the latter is characterized by the formation of the Cooper pair amplitude and described by a generalized Gingzburg-Landau theory. Elementary excitation in this phase is a charge-neutral object carrying spin-1/2 and locking with a supercurrent vortex, known as spinon-vortex composite. Here thermally excited spinon-vortices destroy the phase coherence and are responsible for nontrivial Nernst effect and diamagnetism. The transport entropy and core energy associated with a spinon-vortex are determined by the spin degrees of freedom. Such a spontaneous vortex liquid phase can be also considered as a spin liquid with a finite correlation length and gapped S=1/2 excitations, where a resonancelike non-propagating spin mode emerges at the antiferromagnetic wavevector with a doping-dependent characteristic energy. A quantitative phase diagram in the parameter space of doping, temperature, and magnetic field is determined. Comparisons with experiments are also made.

22 pages, 12 figures

References in corpus (41)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• The pseudogap in high-temperature superconductors: an experimental survey
• Z_2 Gauge Theory of Electron Fractionalization in Strongly Correlated Systems
• The Nernst effect in high-$T_c$ superconductors
• Theory of Underdoped Cuprates
• The Physics Behind High-Temperature Superconducting Cuprates: The "Plain Vanilla" Version Of RVB
• Vanishing of phase coherence in underdoped Bi_2Sr_2CaCu_2O_8+d
• Electronic Phase Diagram of High-T_c Cuprate Superconductors from a Mapping of the In-Plane Resistivity Curvature
• Neutron Scattering from Magnetic Excitations in Bi_2 Sr_2 Ca_2 O_8+delta
• The onset of the vortex-like Nernst signal above Tc in La_{2-x}Sr_xCuO_4 and Bi_2Sr_{2-y}La_yCuO_6
• The Magnetic Excitation Spectrum and Thermodynamics of High-$T_c$ Superconductors
• Field-enhanced diamagnetism in intense magnetic field in the pseudogap state of the cuprate $\rm Bi_2Sr_2CaCu_2O_{8+δ}
• Magnetic Resonant Mode in the Single-Layer High Temperature Superconductor Tl${}_2$Ba${}_2$Cu${}_{6+\delta }$
• An SU(2) Formulation of the t-J model: Application to Underdoped Cuprates
• The high-field phase diagram of the cuprates derived from the Nernst effect
• Fractionalization, topological order, and cuprate superconductivity
• Closing the Pseudogap by Zeeman Splitting in Bi_2Sr_2CaCu_2O_8+y at High Magnetic Fields
• Phase String Effect in the t-J Model: General Theory
• Pseudogap in Bi2Sr2CaCu2O8+d studied by measuring anisotropic susceptibilities and out-of-plane transport
• Strongly nonlinear magnetization above $T_c$ in $\mathrm{B}{\mathrm{i}}_2\mathrm{S}{\mathrm{r}}_2\mathrm{CaC}{\mathrm{u}}_2{\mathrm{O}}_{8+\delta }$
• A model of phase fluctuations in a lattice d-wave superconductor: application to the Cooper pair charge-density-wave in underdoped cuprates
• Physics of the Pseudogap State: Spin-Charge Locking
• Mutual-Chern-Simons effective theory of doped antiferromagnets
• Mean-Field Description of Phase String Effect in the $t-J$ Model
• On the magnetization of two-dimensional superconductors
• The Mysterious Pseudogap in High Temperature Superconductivity, an Infrared View
• Ginzburg-Landau theory of an RVB superconductor
• Topological Gauge Structure and Phase Diagram for Weakly Doped Antiferromagnets
• Staggered flux vortices and the superconducting transition in the layered cuprates
• In Praise of Unstable Fixed Points: The Way Things Actually Work
• Spontaneous Vortex Phase in the Bosonic RVB Theory
• Spin Hall effect in a Doped Mott Insulator
• Spin dynamics in a doped-Mott-insulator superconductor
• Quantum criticality of d-wave quasiparticles and superconducting phase fluctuations
• Strictly In-Plane Vortex-like Excitations in Pseudogap Region of Underdoped $L{a}_{2-x}S{r}_{x}Cu{O}_4$ Single Crystals
• Quasiparticles as composite objects in the RVB superconductor
• Upper Pseudogap Phase: Magnetic Characterizations
• Nature of spin-charge separation
• Physics of the Pseudogap Phase of High Tc Cuprates, or, RVB Meets Umklapp
• Bosonic resonating valence bond wave function for doped Mott insulators
• Pseudogap Phase: Exchange Energy Driven vs. Kinetic Energy Driven

Cited by in corpus (13)

• Superconducting ground state of a doped Mott insulator
• Phase String Theory for Doped Antiferromagnets
• Mott physics, sign structure, ground state wavefunction, and high-Tc superconductivity
• Spin-roton excitations in the cuprate superconductors
• Hole pairing from attraction of opposite chirality spin vortices: Non-BCS superconductivity in Underdoped Cuprates
• A non-BCS mechanism for superconductivity in underdoped cuprates via attraction between spin vortices
• A quantitative description of Nernst effect in high-temperature superconductors
• Charge dynamics in the phase string model for high-Tc superconductors
• Thermal Hall Effect and Neutral Spinons in a Doped Mott Insulator
• Electric transport in doped Mott insulators dictated by a non-Ioffe-Larkin composition rule and spinons
• Complex Phase Diagram of Doped XXZ Ladder: Localization and Pairing
• Mottness, Phase String, and High-$T_c$ Superconductivity
• Terahertz nonlinear response in cuprate superconductors and the Higgs field in doped Mott insulators