Fractionalization and confinement in the U ( 1 ) and Z 2 gauge theories of strongly correlated systems
نویسنده
چکیده
Recently, we have elucidated the physics of electron fractionalization in strongly interacting electron systems using a Z2 gauge theory formulation. Here we discuss the connection with the earlier U(1) gauge theory approaches based on the slave boson mean field theory. In particular, we identify the relationship between the holons and Spinons of the slave-boson theory and the true physical excitations of the fractionalized phases that are readily described in the Z2 approach. PACS numbers: 7510N, 0550, 7510J The tantalizing possibility that the electron is fractionalized (i.e. broken apart) is a crucial ingredient of several qualitative or semi-quantitative pictures [1–4] of the physics of the cuprate high-Tc materials. It is extremely important to have a firm theoretical understanding of the physics of electron fractionalization before a complete theory based on such ideas can be developed for the cuprates. This Letter addresses and resolves some theoretical issues that arise in this context. A popular model Hamiltonian that is often used as the starting point of discussions of the physics of the cuprate materials is the t–J model: H = H0 + HJ (1) H0 = −t ∑ ( c rαcr ′α + h.c. ) − μ∑
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تاریخ انتشار 2001