Spontaneous spin ordering of Dirac spin liquid in a magnetic field

Abstract

The Dirac spin liquid was proposed to be the ground state of the spin-1/2 Kagome antiferromagnets. In a magnetic field $B$, we show that the state with Fermi pocket is unstable to the Landau level (LL) state. The LL state breaks the spin rotation around the axis of the magnetic field. We find that the LL state has an in-plane 120${}^{\circ }$ $q=0$ magnetization $M$ which scales with the external field $M\sim B^{\alpha }$, where $\alpha$ is an intrinsic calculable universal number of the Dirac spin liquid. We discuss the related experimental implications which can be used to detect the possible Dirac spin liquid phase in Herbertsmithite ZnCu${}_3$(OH)${}_6$Cl${}_2$.

rewritten for clarity

References in corpus (11)

• Spin Dynamics of the Spin-1/2 Kagome Lattice Antiferromagnet ZnCu_3(OH)_6Cl_2
• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
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• Ground State of the Kagome Lattice Heisenberg Antiferromagnet
• Dzyaloshinsky-Moriya Anisotropy in the Spin-1/2 Kagomé Compound ZnCu${}_3$(OH)${}_6$Cl${}_2$
• Amperean Pairing Instability in the U(1) Spin Liquid State with Fermi Surface and Application to $\kappa -(BEDT-TTF{)}_{2}C{u}_2(CN{)}_3$
• Spontaneous symmetry breakings in graphene subjected to in-plane magnetic field
• Magnetic susceptibility and specific heat of the spin-1/2 Heisenberg model on the kagome lattice and experimental data on ZnCu3(OH)6Cl2
• Kagome lattice antiferromagnets and Dzyaloshinsky-Moriya interactions

Cited by in corpus (23)

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• Spin Induced Optical Conductivity in the Spin Liquid Candidate Herbertsmithite
• Thermodynamics of Spin-1/2 Kagomé Heisenberg Antiferromagnet: Algebraic Paramagnetic Liquid and Finite-Temperature Phase Diagram
• Heat Transport in Herbertsmithite: Can a Quantum Spin Liquid Survive Disorder?
• Gapless surface states in a lattice of coupled cavities: a photonic analog of topological crystalline insulators
• Quantum kagome antiferromagnet: ZnCu3(OH)6Cl2
• Classification of spin liquids on the square lattice with strong spin-orbit coupling
• Field-Induced Instability of a Gapless Spin Liquid with a Spinon Fermi Surface
• Phase diagram of the strongly correlated Kane-Mele-Hubbard model
• Variational Studies of Triangular Heisenberg Antiferromagnet in Magnetic Field
• Topological order: from long-range entangled quantum matter to an unification of light and electrons
• Generic Field-Driven Phenomena in Kitaev Spin Liquids: Canted Magnetism and Proximate Spin Liquid Physics
• On the Josephson effect in a Bose-Einstein condensate subject to a density dependent gauge potential
• Topological spinon bands and vison excitations in spin-orbit coupled quantum spin liquids
• Evidence for a gapless Dirac spin-liquid ground state in a spin-3/2 triangular-lattice antiferromagnet
• Magnetically disordered ground state in the triangular-lattice antiferromagnets Rb${}_3$Yb(VO${}_4$)${}_2$ and Cs${}_3$Yb(VO${}_4$)${}_2$
• Collective spin oscillations in a magnetized graphene sheet
• Gauge flux generations of weakly magnetized Dirac spin liquid in a kagomé lattice
• Scalable hybrid quantum Monte Carlo simulation of U(1) gauge field coupled to fermions on GPU
• Probing Non-Fermi-Liquid Behaviour of Composite Fermi Liquid via Efficient Thermal Simulations
• Universal collective Larmor-Silin mode emerging in magnetized correlated Dirac fermions