Projected wave functions for fractionalized phases of quantum spin systems

Abstract

Gutzwiller projection allows a construction of an assortment of variational wave functions for strongly correlated systems. For quantum spin S=1/2 models, Gutzwiller-projected wave functions have resonating-valence-bond structure and may represent states with fractional quantum numbers for the excitations. Using insights obtained from field-theoretical descriptions of fractionalization in two dimensions, we construct candidate wave functions of fractionalized states by projecting specific superconducting states. We explicitly demonstrate the presence of topological order in these states.

10 pages, 3 figures

References in corpus (6)

• Quantum Orders and Symmetric Spin Liquids
• Fractionalization in an Easy-axis Kagome Antiferromagnet
• Large N expansion for frustrated and doped quantum antiferromagnets
• Projected Wavefunctions and High Temperature Superconductivity
• Resonating Valence Bond Wave Functions for Strongly Frustrated Spin Systems
• Quantum Phases of the Shastry-Sutherland Antiferromagnet

Cited by in corpus (28)

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• Topological liquids and valence cluster states in two-dimensional SU(N) magnets
• Extending Luttinger's theorem to Z(2) fractionalized phases of matter
• A Z${}_2$ spin-orbital liquid state in the square lattice Kugel-Khomskii model
• Ground-state properties of the Rokhsar-Kivelson dimer model on the triangular lattice
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• A model of $d$-wave superconductivity, antiferromagnetism, and charge order on the square lattice
• Deconfined criticality and a gapless ${\mathbb{Z}}_2$ spin liquid in the square lattice antiferromagnet
• Majorana spin liquids and projective realization of SU(2) spin symmetry
• Electronic spectra with paramagnon fractionalization in the single band Hubbard model
• A chiral spin liquid wave function and the Lieb-Schulz-Mattis theorem
• Testing for topological order in variational wavefunctions for Z(2) spin liquids
• Fractionalization in Spin Liquid Mott Insulators: Vison Wavefunctions and Gaps
• Topological Order in Projected Wave Functions and Effective Theories of Quantum Antiferromagnets
• Topological Order in Gutzwiller Projected Wave Functions for Quantum Antiferromagnets
• Deconfined quantum criticality of nodal $d$-wave superconductivity, Néel order, and charge order on the square lattice at half-filling
• Possible Z2 phase and spin-charge separation in electron doped cuprate superconductors
• Absence of topological degeneracy in the Hubbard model on honeycomb lattice
• Topological entanglement entropy in Gutzwiller projected spin liquids
• Anisotropic deconfined criticality in Dirac spin liquids
• Resonating-valence-bond structure of Gutzwiller-projected superconducting wave functions
• Fractionalized Fermi liquids and the cuprate phase diagram
• Vison excitations in near-critical quantum dimer models
• Partons from stabilizer codes