Quantum spin-liquid emerging in two-dimensional correlated Dirac fermions

Abstract

At sufficiently low temperatures, condensed-matter systems tend to develop order. An exception are quantum spin-liquids, where fluctuations prevent a transition to an ordered state down to the lowest temperatures. While such states are possibly realized in two-dimensional organic compounds, they have remained elusive in experimentally relevant microscopic two-dimensional models. Here, we show by means of large-scale quantum Monte Carlo simulations of correlated fermions on the honeycomb lattice, a structure realized in graphene, that a quantum spin-liquid emerges between the state described by massless Dirac fermions and an antiferromagnetically ordered Mott insulator. This unexpected quantum-disordered state is found to be a short-range resonating valence bond liquid, akin to the one proposed for high temperature superconductors. Therefore, the possibility of unconventional superconductivity through doping arises. We foresee its realization with ultra-cold atoms or with honeycomb lattices made with group IV elements.

42 pages, 4 figures in the main text, 11 figures in the Supplementary Information

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• Extension of dynamical mean-field theory by inclusion of nonlocal two-site correlations with variable distance
• Exotic topological point and line nodes in the plaquette excitations of a frustrated Heisenberg antiferromagnet on the honeycomb lattice
• Magnetic Order-Disorder Transitions on a 1/3 - Depleted Square Lattice
• Short-ranged interaction effects on $Z_2$ topological phase transitions
• Quantitative Determination of the Confinement and Deconfinement of spinons in the anomalous spectra of Antiferromagnets via the Entanglement Entropy
• Nambu-Eliashberg theory for multi-scale quantum criticality : Application to ferromagnetic quantum criticality in the surface of three dimensional topological insulators
• Strong-coupling perturbative study of the disordered Hubbard model on honeycomb lattice
• Quantum Magnetic Properties in Perovskite with Anderson Localized Artificial Spin-1/2
• Absence of Spin Liquid in the Hubbard model on the Honeycomb Lattice
• Inclusion of intersite spatial correlations in the alloy analogy approach to the half-filled ionic Hubbard model
• Spin excitations and thermodynamics of the t-J model on the honeycomb lattice
• The $SO(3)\times SO(3)\times U(1)$ Hubbard model on a square lattice in terms of $c$ and $\alpha \nu$ fermions and deconfined $\eta$-spinons and spinons
• Fractional Spin Quantum Hall Effect in Weakly Coupled Spin Chain Arrays
• Spectral functions of the honeycomb lattice with both the Hubbard and long-range Coulomb Interactions
• Hamming Distance and the onset of quantum criticality
• A search for correlation-induced adiabatic paths between distinct topological insulators
• Kekulé valence bond order in the Hubbard model on the honeycomb lattice with possible lattice distortions for graphene
• Spin-density wave state in simple hexagonal graphite
• Weyl semimetallic, Néel, spiral, and vortex states in the Rashba-Hubbard model
• Quantifying the fragility of unprotected quadratic band crossing points
• Probing a quantum spin liquid with equilibrium and nonequilibrium hole dynamics
• Spin disorder in an Ising honeycomb chain cobaltate
• Emergent Anti-ferromagnetism in a Y -Shaped Kekulé Graphene
• Phase diagram and critical behavior of Hubbard model on the square-hexagon-octagon lattice
• Anisotropic super-spin at the end of a carbon nanotube
• Quantum simulation of honeycomb lattice model by high-order moiré pattern
• An intermediate phase induced by dilution in a correlated Dirac Fermi system
• Quantum magnetism of topologically-designed graphene nanoribbons
• Fermion bag solutions to some sign problems in four-fermion field theories
• Influence of hopping selfenergy and quasiparticle degradation on the antiferromagnetic ordering in the bilayer honeycomb Hubbard model
• Phaseless quantum Monte-Carlo approach to strongly correlated superconductors with stochastic Hartree-Fock-Bogoliubov wavefunctions
• Zero Temperature Phase Diagram of the Classical Kane-Mele-Heisenberg Model
• QMC study of the chiral Heisenberg Gross-Neveu universality class
• Mean-field analysis of a Hubbard interaction on Bernal Bilayer Graphene
• Spontaneous loop-spin current with topological characters in the Hubbard model
• Emergent gauge fields and their nonperturbative effects in correlated electrons
• Thermodynamics of the Hubbard model on stacked honeycomb and square lattices
• Frustrated mixed-spin ladders: Evidence for a bond order wave phase between rung-singlet and Haldane phases
• Bilayer, hydrogenated and fluorinated graphene: QED vs SU(2) QCD theory
• Fermi-Hubbard model on non-bipartite lattices: flux problem and emergent chirality
• Searching for Topological Degeneracy in the Hubbard Model with Quantum Monte Carlo
• Post-experiment coincidence detection techniques for direct detection of two-body correlations
• Half-integer Mott-insulator phases in the imbalanced honeycomb lattice
• Short-ranged interaction effects on $Z_2$ topological phase transitions: The perturbative mean-field method
• Rientrant metallicity in the Hubbard model: the case of honeycomb nanoribbons
• Generation of chiral spin state by quantum simulation
• Nematic Metal and Antiferromagnetic Insulator on Hexagonal Kagome Lattice
• Fermionic criticality with enlarged fluctuations in Dirac semimetals
• Emergence of topological defects and spin liquid in a two-orbital spin-fermion model on the honeycomb lattice
• (2+1)D quantum electrodynamics at finite density on a quantum computer
• Finite Spinon Density-of-States in Triangular-Lattice Delafossite TlYbSe${}_2$
• Orthogonal Dirac semimetal on honeycomb lattice and the electron spectral function in orthogonal metallic states
• Quantum continuum fluctuations in glassy perovskite Ca(Co${}_{0.15}$Ru${}_{0.85}$)O${}_3$
• Exact ground state for the four-electron problem in a 2D finite honeycomb lattice