Typeset Using Revt E X 1
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چکیده
Low energy and dynamical properties of a single hole in the t − J z model Abstract We review in details a recently proposed technique to extract information about dynamical correlation functions of many-body hamiltonians with a few Lanczos iterations and without the limitation of finite size. We apply this technique to understand the low energy properties and the dynamical spectral weight of a simple model describing the motion of a single hole in a quantum antiferromagnet: the t − J z model in two spatial dimension and for a double chain lattice. The simplicity of the model allows us a well controlled numerical solution, especially for the two chain case. Contrary to previous approximations we have found that the single hole ground state in the infinite system is continuously connected with the Nagaoka fully polarized state for J z → 0. Analogously we have obtained an accurate determination of the dy-namical spectral weight relevant for photoemission experiments. For J z = 0 an argument is given that the spectral weight vanishes at the Nagaoka energy faster than any power law, as supported also by a clear numerical evidence. It is also shown that spin charge decoupling is an exact property for a single hole in the Bethe lattice but does not apply to the more realistic lattices where the hole can describe closed loop paths.
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Typeset Using Revt E X 1
The HQET/NRQCD Lagrangian is computed to order α/m3. The computation is performed using dimensional regularization to regulate the ultraviolet and infrared divergences. The results are consistent with reparametrization invariance to order 1/m3. Some subtleties in the matching conditions for NRQCD are discussed. Typeset using REVTEX 1
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