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In this paper, we investigate the topological Hubbard model -the spinful Haldane model with onsite interaction on honeycomb lattice with spin rotation symmetry by using slave-rotor approach and find that chiral spin liquid exists in such a correlated electron system of the intermediate coupling region. By considering the anyon nature of excitations, chiral spin liquid may be the ground state of the topological Hubbard model. The low energy physics is basically determined by its Chern-Simons gauge theory.

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An experiment was conducted to determine the digestibility of energy and crude protein (CP) in hulled and hulless barley with the in vivo and in vitro method. Six barrows were fed six diets according to a 6 × 6 Latin square design. The six diets included 950 g kg -1 of four barleys and two mixtures. Diet A: hulled barley, c.v. Harrington I. Diet B: hulled barley, c.v. Harrington II. The origin of c.v. Harrington in diet B was different from that in diet A, and therefore referred to as c.v. Harrington II. Diet C: hulless barley, c.v. CDC Buck. Diet D: hulless barley, c.v. CDC Richard. Diet E: mixture of c.v. Harrington I and c.v. CDC Buck (50:50, wt/wt). Diet F: mixture of c.v. Harrington II and c.v. CDC Richard (50:50, wt/wt).The mixtures were created in order to establish linear regression equations between in vivo and in vitro methods. Chromic oxide was used as the digestibility marker. The barrows were fed twice daily, at 08.00 and 20.00 h. Each experimental period consisted of an 8-d adaptation period followed by a 2-d collection period of faeces. The initial and final average body weights of the barrows were 40 and 90 kg, respectively. The in vivo energy digestibilities were higher (P < 0.05) in the hulless (81.4 to 84.7%) than in the hulled barleys (76.9 to 77.6%). The digestible energy contents in the hulless barleys ranged from 14.01 to 14.60 MJ kg -1 while the contents in the hulled barleys ranged from 13.05 to 13.16 MJ kg -1 (as-fed). The average digestible CP contents in the hulled and hulless barleys were nearly similar and were 88.0 and 89.7 g kg -1 (as-fed), respectively. The in vivo energy and CP digestibilities in the barleys and their mixtures can be accurately predicted by in vitro values, as these were very high correlations between these methods for energy (r 2 = 0.93) and CP (r 2 = 0.87).

Processing caused different levels of formation of disulfide bonds, and associated it with protein structure changes and digested products.

Recently, topological semimetals have become a hot topic in condensed matter physics, including Dirac semimetals, Weyl semimetals, and nodal line semimetals (NLSMs). In this paper, a new type of NLSM-type-II NLSM-is proposed based on a two-band cubic lattice model. For type-II NLSM, the zero energy bulk states have a closed loop in momentum space but the (local) Weyl cones on the nodal line become tilted. The effect of the magnetic field and that of the correlation on type-II NLSM are studied. In particular, after considering the repulsive interaction and additional spin degrees of freedom, different types of long range magnetic orders appear in bulk states. In addition, the interaction-induced ferromagnetic (FM) order of surface states may exist. At a critical point between type-I NLSM and type-II NLSM, arbitrary tiny interactions induce FM order due to a flat band at the Fermi surface.

In this paper we study an s-wave topological superconductor (SC) with a square vortex-lattice. We proposed a topological Majorana lattice model to describe this topological state which was supported by the numerical calculations. We found that the Majorana lattice model is really a "topological SC" on the parent topological SC. Such hierarchy structure becomes a new holographic feature of the topological state. II. THE S-WAVE PAIRING TOPOLOGICAL SUPERCONDUCTOR WITH RASHBA SPIN-ORBITAL COUPLINGAs a starting point, the s-wave pairing SC with Rashba SO coupling is defined on a square lattice[5], which is described bywhere the kinetic term H k , the Rashba spin-orbital (SO) coupling term H so , and the superconducting pairing term