Using a phenomenological model, we discuss the consequences of spinon-holon binding in the U͑1͒ slaveboson approach to t-J model in the weak-coupling limit. We find that spinon-holon binding produces a pseudogap normal state with a segmented Fermi surface and the superconducting state is formed by opening an "additional" d-wave gap on the segmented Fermi surface. The d-wave gap merges with the pseudogap smoothly as temperature T → 0. The quasiparticles in the superconducting state are coupled to external electromagnetic field with a coupling constant of order x ␥/2 ͑x = hole concentration͒, where 0 ഛ ␥ ഛ 1. DOI: 10.1103/PhysRevB.71.172509 PACS number͑s͒: 74.20.Mn, 74.25.Jb The U͑1͒ slave-boson mean-field theory ͑SBMFT͒ of the t-J model has been used by many authors as a starting point for the theory of high-T c superconductors. [1][2][3][4] With suitable refinements, the theory can explain a lot of the qualitative features of the cuprates. 2-5 However, the theory does not produce a correct description of the low-energy quasiparticle properties in the underdoped regime. It predicts a very strong renormalization of quasiparticle charge in the superconducting state 5,6 which is not observed experimentally. 7,8 It has been suggested 3,9 that the failure of SBMFT in describing quasiparticles is due to the lack of consideration of confinement between low-energy spinons and holons coming from strong gauge field fluctuations. This scenario has been studied phenomenologically in the SU͑2͒ formulation of the t-J model, where it was found that spinon-holon binding leads to formation of half-pocket ͑segmented͒ Fermi surfaces in the normal state, 3,9 and a rather normal d-wave superconductor state. In this paper, we study spinon-holon binding in the U͑1͒ slave-boson formulation of the t-J model, assuming that an effective spinon-holon interaction U o which is constant at distance range d Ͻ l ϳ −1 x −1/2 ͑x = hole concentration͒ exists. Our goal is to understand how the quasiparticle properties in SBMFT are modified in the presence of this phenomenological interaction in the underdoped ͑small x͒ regime. We find that there exist two regimes in the x-U o phase diagram. For small U o ͑weak-coupling regime͒ Bose condensation of holes exists and the properties of the system can be studied in a small-x expansion, whereas Bose condensation of holes vanishes for large U o ͑strong-coupling regime͒ and a new state which cannot be described by small-x expansion is formed. We shall concentrate on the quasiparticle properties in the weak-coupling regime in this paper. We consider a model Hamiltonian on a two-dimensional square lattice,
͑1͒is the fermion ͑spinon͒ mean-field Hamiltonian in SBMFT.The boson ͑holon͒ mean-field Hamiltonian iswhere we have introduced a short-ranged hole-hole repulsion term U h ϳ t which is treated by usual Bogoliubov approximation 10 andwhere x is the hole Bose-condensation amplitude. Note that x Ͻ x in the presence of hole-hole and holon-spinon interactions. ⑀͑q ជ͒ =−t ␥͑q ជ͒ + b . The existence of Bose-con...