The simplest spin-orbital model can host a nematic spin-orbital liquid state on the triangular lattice.We provide clear evidence that the ground state of the SU(4)Kugel-Khomskii model on the triangular lattice can be well described by a"single"Gutzwiller projected wave function with an emergent parton Fermi surface,despite it exhibits strong finite-size effect in quasi-one-dimensional cylinders.The finite-size effect can be resolved by the fact that the parton Fermi surface consists of open orbits in the reciprocal space.Thereby,a stripy liquid state is expected in the two-dimensional limit,which preserves the SU(4)symmetry while breaks the translational symmetry by doubling the unit cell along one of the lattice vec-tor directions.It is indicative that these stripes are critical and the central charge is c=3,in agreement with the SU(4)1 Wess-Zumino-Witten conformal field theory.All these results are consistent with the Lieb-Schultz-Mattis-Oshikawa-Hastings theorem.

Hui-Ke Jin;Rong-Yang Sun;Hong-Hao Tu;Yi Zhou

Department of Physics TQM,Technische Universit?t Munchen,James-Franck-Straβe 1,D-85748 Garching,Germany;Kavli Institute for Theoretical Sciences,University of Chinese Academy of Sciences,Beijing 100190,China;Computational Materials Science Research Team,RIKEN Center for Computational Science(R-CCS),Kobe,Hyogo 650-0047,Japan;Quantum Computational Science Research Team,RIKEN Center for Quantum Computing(RQC),Wako,Saitama 351-0198,Japan;Institut für Theoretische Physik,Technische Universit?t Dresden,01062 Dresden,Germany;Institute of Physics,Chinese Academy of Sciences,Beijing 100190,China;Songshan Lake Materials Laboratory,Dongguan,Dongguan 523808,China;CAS Center for Excellence in Topological Quantum Computation,University of Chinese Academy of Sciences,Beijing 100190,China

科学通报（英文版）

[1]Hui-Ke Jin;Rong-Yang Sun;Hong-Hao Tu;Yi Zhou-.Unveiling a critical stripy state in the triangular-lattice SU(4)spin-orbital model)[J].科学通报（英文版）,2022(09):918-923

stripy,Khomskii,Gutzwiller,parton,Wess,Zumino,Schultz,Mattis,Oshikawa

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