Chiral spin liquid and quantum phase diagram of spin-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac><mml:mo> </mml:mo><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mtext>−</mml:mtext><mml:msub><mml:mi>J</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mtext>−</mml:mtext><mml:msub><mml:mi>J</mml:mi><mml:mi>χ</mml:mi></mml:msub></mml:mrow></mml:math> model on the square lattice

Abstract

A chiral spin liquid (CSL) is an analog of the fractional quantum Hall state in spin systems. Recently, an interesting topic has been the coexistence of CSL and magnetic order, which is beyond the conventional understanding of the spin liquid. Here, the authors examine possible phase coexistence in the spin-\textonehalf{} square-lattice ${J}_{1}$-${J}_{2}$-${J}_{\ensuremath{\chi}}$ model, by using unbiased density matrix renormalization group calculations. The numerical data identify the CSL but find no evidence for the phase coexistence that was conjectured by mean-field calculations.

Topics & Concepts