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We propose a density matrix renormalization group (DMRG) technique at finitetemperatures. As is the case of the ground state DMRG, we use a single-targetstate that is calculated by making use of a regulated polynomial expansion.Both static and dynamical quantities are obtained after a random-sampling andaveraging procedure. We apply this technique to the one-dimensional Hubbardmodel at half filling and find that this gives excellent results at lowtemperatures.

Low-temperature density matrix renormalization group using regulated polynomial expansion