The emergence of gapless quantum spin liquid from deconfined quantum critical point

Abstract

A quantum spin liquid (QSL) is a novel phase of matter with long-range entanglement where localized spins are highly correlated with the vanishing of magnetic order. Such exotic quantum states provide the opportunities to develop new theoretical frameworks for many-body physics and have the potential application in realizing robust quantum computations. Here we show that a gapless QSL can naturally emerge from a deconfined quantum critical point (DQCP), which is originally proposed to describe Landau forbidden continuous phase transition between antiferromagnetic (AFM) and valence-bond solid (VBS) phases. Via large-scale tensor network simulations of a square-lattice spin-1/2 frustrated Heisenberg model, both QSL state and DQCP-type AFM-VBS transition are observed. With tuning coupling constants, the AFM-VBS transition vanishes and instead, a gapless QSL phase gradually develops in between. Remarkably, along the phase boundaries of AFM-QSL and QSL-VBS transitions, we always observe the same correlation length exponents $\nu \approx 1.0$, which is intrinsically different from the one of the DQCP-type transition, indicating new types of universality classes. Our results explicitly demonstrate a new scenario for understanding the emergence of gapless QSL from an underlying DQCP. The discovered QSL phase survives in a large region of tuning parameters and we expect its experimental realizations in solid state materials or quantum simulators.

References in corpus (65)

• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• "Deconfined" quantum critical points
• Quantum Orders and Symmetric Spin Liquids
• Quantum Phases of Matter on a 256-Atom Programmable Quantum Simulator
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Probing Topological Spin Liquids on a Programmable Quantum Simulator
• Programmable quantum simulation of 2D antiferromagnets with hundreds of Rydberg atoms
• Evidence for deconfined quantum criticality in a two-dimensional Heisenberg model with four-spin interactions
• Computational Studies of Quantum Spin Systems
• Finite-Size Scaling of the Ground State Parameters of the Two-Dimensional Heisenberg Model
• Accurate determination of tensor network state of quantum lattice models in two dimensions
• Gapless spin-liquid ground state in the $S=1/2$ kagome antiferromagnet
• Deconfined quantum critical points: symmetries and dualities
• Gapless spin-liquid phase in the kagome spin-1/2 Heisenberg antiferromagnet
• Spin liquid nature in the Heisenberg $J_1$-$J_2$ triangular antiferromagnet
• Quantum criticality with two length scales
• Walking, Weak first-order transitions, and Complex CFTs
• The Non-Abelian Density Matrix Renormalization Group Algorithm
• Scaling in the Fan of an Unconventional Quantum Critical Point
• Plaquette valence bond solid in the frustrated Heisenberg quantum antiferromagnet on the square lattice
• Antiferromagnetic to valence-bond-soild transitions in two-dimensional SU(N) Heisenberg models with multi-spin interactions
• Continuous quantum phase transition between an antiferromagnet and a valence-bond-solid in two dimensions; evidence for logarithmic corrections to scaling
• Emergent $SO(5)$ Symmetry at the Néel to Valence-Bond-Solid Transition
• Deconfined Quantum Criticality, Scaling Violations, and Classical Loop Models
• Variational quantum Monte Carlo simulations with tensor-network states
• Dirac Spin Liquid on the Spin-1/2 Triangular Heisenberg Antiferromagnet
• Strings, Projected Entangled Pair States, and variational Monte Carlo methods
• Walking, Weak first-order transitions, and Complex CFTs II. Two-dimensional Potts model at $Q>4$
• From an Antiferromagnet to a Valence Bond Solid: Evidence for a First Order Phase Transition
• Fate of CP(N-1) fixed points with q-monopoles
• Deconfined criticality flow in the Heisenberg model with ring-exchange interactions
• Possibility of Deconfined Criticality in SU(N) Heisenberg Models at Small N
• Finite Correlation Length Scaling in Lorentz-Invariant Gapless iPEPS Wave Functions
• A theory of deconfined pseudo-criticality
• Quantum Criticality and Spin Liquid Phase in the Shastry-Sutherland model
• Finite correlation length scaling with infinite projected entangled-pair states
• Superconductivity from the Condensation of Topological Defects in a Quantum Spin-Hall Insulator
• Monte Carlo Study of Lattice Compact Quantum Electrodynamics with Fermionic Matter: the Parent State of Quantum Phases
• Gapless quantum spin liquid and global phase diagram of the spin-1/2 $J_1$-$J_2$ square antiferromagnetic Heisenberg model
• Gapless spin liquid and valence-bond solid in the $J_1-J_2$ Heisenberg model on the square lattice: insights from singlet and triplet excitations
• Note on Wess-Zumino-Witten models and quasiuniversality in 2+1 dimensions
• Dirac Fermions with Competing Orders: Non-Landau Transition with Emergent Symmetry
• A simple fermionic model of deconfined phases and phase transitions
• Signatures of a Deconfined Phase Transition on the Shastry-Sutherland Lattice: Applications to Quantum Critical SrCu${}_2$(BO${}_3$)${}_2$
• Symmetric Fermion Mass Generation as Deconfined Quantum Criticality
• Phases of the (2+1) dimensional SO(5) non-linear sigma model with topological term
• Spin liquid phase for the frustrated Quantum Heisenberg Antiferromagnet on a square lattice
• Multicritical deconfined quantum-criticality and Lifshitz point of a helical valence-bond phase
• Gradient optimization of finite projected entangled pair states
• Investigation of the Néel phase of the frustrated Heisenberg antiferromagnet by differentiable symmetric tensor networks
• Transitions to valence-bond solid order in a honeycomb lattice antiferromagnet
• Continuous easy-plane deconfined phase transition on the kagome lattice
• Low temperature broken symmetry phases of spiral antiferromagnets
• Phase diagram of an extended classical dimer model
• Emergent SO(5) symmetry at the columnar ordering transition in the classical cubic dimer model
• Quantum criticality in SU(3) and SU(4) anti-ferromagnets
• Phase diagram of the spin-1/2 $J_1$-$J_2$-$J_3$ Heisenberg model on the square lattice
• Accurate simulation for finite projected entangled pair states in two dimensions
• Spin-liquid versus dimerized ground states in a frustrated Heisenberg antiferromagnet
• Numerical evidence for the spin-Peierls state in the frustrated quantum antiferromagnet
• Deconfined criticality and a gapless ${\mathbb{Z}}_2$ spin liquid in the square lattice antiferromagnet
• Non-Wilson-Fisher kinks of $O(N)$ numerical bootstrap: from the deconfined phase transition to a putative new family of CFTs
• A scaling hypothesis for projected entangled-pair states
• Confinement transition in the QED${}_3$-Gross-Neveu-XY universality class
• Comment on "Gapless spin liquid ground state of the spin-$\frac{1}{2}$ $J_1$-$J_2$ Heisenberg model on square lattices"

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• High-accuracy variational Monte Carlo for frustrated magnets with deep neural networks
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• Foundation Neural-Networks Quantum States as a Unified Ansatz for Multiple Hamiltonians
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• Cubic ferromagnet and emergent $U(1)$ symmetry on its phase boundary