Contractor renormalization group and the Haldane conjecture
نویسندگان
چکیده
منابع مشابه
CORE and the Haldane Conjecture
In an earlier paper[1] I showed that the Contractor Renormalization group (CORE) method could be used to map a theory of free quarks, and quarks interacting with gluons, into a generalized frustrated Heisenberg antiferromagnet (HAF) and proposed using CORE methods to study these theories. Since generalizations of HAF’s exhibit all sorts of subtle behavior which, from a continuum point of view, ...
متن کاملApplication of Contractor Renormalization Group (CORE) to the Heisenberg zig-zag and the Hubbard chain
The COntractor REnormalization group method was devised in 1994 by Morningstar and Weinstein. It was primarily aimed at extracting the physics of lattice quantum field theories (like lattice Quantum Chromodynamics). However, it is a general method of analyzing Hamiltonian lattice systems, e.g. Ising, Heisenberg or Hubbard models. The aim of this work is to show the application of CORE to one-di...
متن کاملProbing The CORE of the Haldane Conjecture
The COntractor REnormalization group method (CORE), originally developed for application to lattice gauge theories, is very well adapted the study of spin systems and systems with fermions. As an warmup exercise for studying Hubbard models this method is applied to spin-1/2 and spin-1 anti-ferromagnets in one space dimension in order to see if it is able to explain the physics of the Haldane co...
متن کاملQuantum computational renormalization in the Haldane phase.
Single-spin measurements on the ground state of an interacting spin lattice can be used to perform a quantum computation. We show how such measurements can mimic renormalization group transformations and remove the short-ranged variations of the state that can reduce the fidelity of a computation. This suggests that the quantum computational ability of a spin lattice could be a robust property ...
متن کاملThe CORE of the Haldane Conjecture
Sometimes, when carrying out a preliminary computation in order to be sure that well understood llimits of a problem are handled correctly, results which are interesting in their own right emerge. I will now discuss one such result which I have obtained as part of such a preliminary study of the Hubbard model. The Hubbard model at halflling is equivalent to a Heisenberg anti-ferromagnet (HAF) a...
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ژورنال
عنوان ژورنال: Physical Review B
سال: 2001
ISSN: 0163-1829,1095-3795
DOI: 10.1103/physrevb.63.174421