1 6 N ov 1 99 6 Quantum Renormalization Group for 1 dimensional Fermion Systems : a modified scheme
نویسندگان
چکیده
We introduce a modification of the standard Renormalization Group (RG) for quantum lattice systems which takes into account the effect of boundary conditions. By applying this method to a one-dimensional fermionic system, we obtain the ground state energy both in the free and interacting cases with much higher accuracy than obtained by standard RG prescription.
منابع مشابه
2 9 A pr 1 99 8 Quantum Renormalization Group for 1 Dimensional Fermion Systems : a Modified Scheme
Inspired by the superblock method of White, we introduce a simple modification of the standard Renormalization Group (RG) technique for the study of quantum lattice systems. Our method which takes into account the effect of Boundary Conditions(BC), may be regarded as a simple way for obtaining first estimates of many properties of quantum lattice systems. By applying this method to the 1-dimens...
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We present an overview of the Density Matrix Renormalization Group and its connections to Quantum Groups, Matrix Products and Conformal Field Theory. We emphasize some common formal structures in all these theories. We also propose two-dimensional extensions of the variational matrix product ansatzs.
متن کامل1 2 N ov 1 99 8 The Density Matrix Renormalization Group , Quantum Groups and Conformal Field Theory
We present an overview of the Density Matrix Renormalization Group and its connections to Quantum Groups, Matrix Products and Conformal Field Theory. We emphasize some common formal structures in all these theories. We also propose two-dimensional extensions of the variational matrix product ansatzs.
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The density matrix renormalization group method is generalized to one dimensional random systems. Using this method, the energy gap distribution of the spin-1/2 random antiferromagnetic Heisenberg chain is calculated. The results are consistent with the predictions of the renormalization group theory demonstrating the effectiveness of the present method in random systems. The possible applicati...
متن کامل0 N ov 1 99 8 The Density Matrix Renormalization Group , Quantum Groups and Conformal Field Theory
We present an overview of the Density Matrix Renormalization Group and its connections to Quantum Groups, Matrix Products and Conformal Field Theory. We emphasize some common formal structures in all these theories. We also propose two-dimensional extensions of the variational matrix product ansatzs.
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تاریخ انتشار 1996