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@ARTICLE{Merker:22531,
      author       = {Merker, L. and Weichselbaum, A. and Costi, T.A.},
      title        = {{F}ull density-matrix numerical renormalization group
                      calculation of impurity susceptibility and specific heat of
                      the {A}nderson impurity model},
      journal      = {Physical review / B},
      volume       = {86},
      number       = {7},
      issn         = {1098-0121},
      address      = {College Park, Md.},
      publisher    = {APS},
      reportid     = {PreJuSER-22531},
      pages        = {075153},
      year         = {2012},
      note         = {We thank Jan von Delft, Markus Hanl, and Ralf Bulla for
                      useful discussions and acknowledge supercomputer support by
                      the John von Neumann institute for Computing (Julich).
                      Support from the DFG under grant number WE4819/1-1 is also
                      acknowledged (AW).},
      abstract     = {Recent developments in the numerical renormalization group
                      (NRG) allow the construction of the full density matrix
                      (FDM) of quantum impurity models [see A. Weichselbaum and J.
                      von Delft, Phys. Rev. Lett. 99, 076402 (2007)] by using the
                      completeness of the eliminated states introduced by F. B.
                      Anders and A. Schiller [F. B. Anders and A. Schiller, Phys.
                      Rev. Lett. 95, 196801 (2005)]. While these developments
                      prove particularly useful in the calculation of transient
                      response and finite-temperature Green's functions of quantum
                      impurity models, they may also be used to calculate
                      thermodynamic properties. In this paper, we assess the FDM
                      approach to thermodynamic properties by applying it to the
                      Anderson impurity model. We compare the results for the
                      susceptibility and specific heat to both the conventional
                      approach within NRG and to exact Bethe ansatz results. We
                      also point out a subtlety in the calculation of the
                      susceptibility (in a uniform field) within the FDM approach.
                      Finally, we show numerically that for the Anderson model,
                      the susceptibilities in response to a local and a uniform
                      magnetic field coincide in the wide-band limit, in
                      accordance with the Clogston-Anderson compensation theorem.},
      keywords     = {J (WoSType)},
      cin          = {PGI-2 / IAS-3},
      ddc          = {530},
      cid          = {I:(DE-Juel1)PGI-2-20110106 / I:(DE-Juel1)IAS-3-20090406},
      pnm          = {Grundlagen für zukünftige Informationstechnologien},
      pid          = {G:(DE-Juel1)FUEK412},
      shelfmark    = {Physics, Condensed Matter},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000308127000001},
      doi          = {10.1103/PhysRevB.86.075153},
      url          = {https://juser.fz-juelich.de/record/22531},
}