Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2004-11-11
Phys. Rev. B 71, 201309(R) (2005)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
4 pages, 3 figures
Scientific paper
10.1103/PhysRevB.71.201309
Nanoscale physics and dynamical mean field theory have both generated increased interest in complex quantum impurity problems and so have focused attention on the need for flexible quantum impurity solvers. Here we demonstrate that the mapping of single quantum impurity problems onto spin-chains can be exploited to yield a powerful and extremely flexible impurity solver. We implement this cluster algorithm explicitly for the Anderson and Kondo Hamiltonians, and illustrate its use in the ``mesoscopic Kondo problem''. To study universal Kondo physics, a large ratio between the effective bandwidth $D_\mathrm{eff}$ and the temperature $T$ is required; our cluster algorithm treats the mesoscopic fluctuations exactly while being able to approach the large $D_\mathrm{eff}/T$ limit with ease. We emphasize that the flexibility of our method allows it to tackle a wide variety of quantum impurity problems; thus, it may also be relevant to the dynamical mean field theory of lattice problems.
Baranger Harold U.
Chandrasekharan Shailesh
Kaul Ribhu K.
Ullmo Denis
Yoo Jaebeom
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