Phys. Rev. Lett. 102, 047205 (2009) [4 pages]Spontaneous Spin Ordering of a Dirac Spin Liquid in a Magnetic FieldReceived 27 October 2007; revised 3 December 2008; published 30 January 2009 The Dirac spin liquid was proposed to be the ground state of the spin-1/2 kagomé 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° q=0 magnetization M which scales with the external field M∼Bα, where α is a 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 ZnCu3(OH)6Cl2. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.102.047205
DOI:
10.1103/PhysRevLett.102.047205
PACS:
75.10.Jm, 75.50.Ee
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