000022463 001__ 22463
000022463 005__ 20240625095039.0
000022463 0247_ $$2DOI$$a10.1103/PhysRevB.86.075150
000022463 0247_ $$2WOS$$aWOS:000308004600002
000022463 0247_ $$2Handle$$a2128/10846
000022463 037__ $$aPreJuSER-22463
000022463 041__ $$aeng
000022463 082__ $$a530
000022463 084__ $$2WoS$$aPhysics, Condensed Matter
000022463 1001_ $$0P:(DE-Juel1)144690$$aMerker, L.$$b0$$uFZJ
000022463 245__ $$aNumerical renormalization group calculation of impurity internal energy and specific heat of quantum impurity models
000022463 260__ $$aCollege Park, Md.$$bAPS$$c2012
000022463 300__ $$a 075150
000022463 3367_ $$0PUB:(DE-HGF)16$$2PUB:(DE-HGF)$$aJournal Article
000022463 3367_ $$2DataCite$$aOutput Types/Journal article
000022463 3367_ $$00$$2EndNote$$aJournal Article
000022463 3367_ $$2BibTeX$$aARTICLE
000022463 3367_ $$2ORCID$$aJOURNAL_ARTICLE
000022463 3367_ $$2DRIVER$$aarticle
000022463 440_0 $$04919$$aPhysical Review B$$v86$$x1098-0121$$y075150
000022463 500__ $$3POF3_Assignment on 2016-02-29
000022463 500__ $$aRecord converted from VDB: 12.11.2012
000022463 520__ $$aWe introduce a method to obtain the specific heat of quantum impurity models via a direct calculation of the impurity internal energy requiring only the evaluation of local quantities within a single numerical renormalization group (NRG) calculation for the total system. For the Anderson impurity model we show that the impurity internal energy can be expressed as a sum of purely local static correlation functions and a term that involves also the impurity Green function. The temperature dependence of the latter can be neglected in many cases, thereby allowing the impurity specific heat C-imp to be calculated accurately from local static correlation functions; specifically via C-imp = partial derivative E-ionic/partial derivative T + 1/2 partial derivative E-hyb/partial derivative T, where E-ionic and E-hyb are the energies of the (embedded) impurity and the hybridization energy, respectively. The term involving the Green function can also be evaluated in cases where its temperature dependence is non-negligible, adding an extra term to C-imp. For the nondegenerate Anderson impurity model, we show by comparison with exact Bethe ansatz calculations that the results recover accurately both the Kondo induced peak in the specific heat at low temperatures as well as the high-temperature peak due to the resonant level. The approach applies to multiorbital and multichannel Anderson impurity models with arbitrary local Coulomb interactions. An application to the Ohmic two-state system and the anisotropic Kondo model is also given, with comparisons to Bethe ansatz calculations. The approach could also be of interest within other impurity solvers, for example, within quantum Monte Carlo techniques.
000022463 536__ $$0G:(DE-Juel1)FUEK412$$2G:(DE-HGF)$$aGrundlagen für zukünftige Informationstechnologien$$cP42$$x0
000022463 542__ $$2Crossref$$i2012-08-28$$uhttp://link.aps.org/licenses/aps-default-license
000022463 588__ $$aDataset connected to Web of Science
000022463 650_7 $$2WoSType$$aJ
000022463 7001_ $$0P:(DE-Juel1)130600$$aCosti, T.A.$$b1$$uFZJ
000022463 77318 $$2Crossref$$3journal-article$$a10.1103/physrevb.86.075150$$bAmerican Physical Society (APS)$$d2012-08-28$$n7$$p075150$$tPhysical Review B$$v86$$x1098-0121$$y2012
000022463 773__ $$0PERI:(DE-600)2844160-6$$a10.1103/PhysRevB.86.075150$$gVol. 86$$n7$$p075150$$q86$$tPhysical review / B$$v86$$x1098-0121$$y2012
000022463 8567_ $$uhttp://dx.doi.org/10.1103/PhysRevB.86.075150
000022463 8564_ $$uhttps://juser.fz-juelich.de/record/22463/files/PhysRevB.86.075150.pdf$$yOpenAccess
000022463 8564_ $$uhttps://juser.fz-juelich.de/record/22463/files/PhysRevB.86.075150.gif?subformat=icon$$xicon$$yOpenAccess
000022463 8564_ $$uhttps://juser.fz-juelich.de/record/22463/files/PhysRevB.86.075150.jpg?subformat=icon-180$$xicon-180$$yOpenAccess
000022463 8564_ $$uhttps://juser.fz-juelich.de/record/22463/files/PhysRevB.86.075150.jpg?subformat=icon-700$$xicon-700$$yOpenAccess
000022463 8564_ $$uhttps://juser.fz-juelich.de/record/22463/files/PhysRevB.86.075150.pdf?subformat=pdfa$$xpdfa$$yOpenAccess
000022463 909CO $$ooai:juser.fz-juelich.de:22463$$pdnbdelivery$$pVDB$$pdriver$$popen_access$$popenaire
000022463 9131_ $$0G:(DE-Juel1)FUEK412$$1G:(DE-HGF)POF2-420$$2G:(DE-HGF)POF2-400$$bSchlüsseltechnologien$$kP42$$lGrundlagen für zukünftige Informationstechnologien (FIT)$$vGrundlagen für zukünftige Informationstechnologien$$x0
000022463 9132_ $$0G:(DE-HGF)POF3-529H$$1G:(DE-HGF)POF3-520$$2G:(DE-HGF)POF3-500$$aDE-HGF$$bKey Technologies$$lFuture Information Technology - Fundamentals, Novel Concepts and Energy Efficiency (FIT)$$vAddenda$$x0
000022463 9141_ $$y2012
000022463 915__ $$0StatID:(DE-HGF)0150$$2StatID$$aDBCoverage$$bWeb of Science Core Collection
000022463 915__ $$0LIC:(DE-HGF)APS-112012$$2HGFVOC$$aAmerican Physical Society Transfer of Copyright Agreement
000022463 915__ $$0StatID:(DE-HGF)0100$$2StatID$$aJCR
000022463 915__ $$0StatID:(DE-HGF)0200$$2StatID$$aDBCoverage$$bSCOPUS
000022463 915__ $$0StatID:(DE-HGF)0110$$2StatID$$aWoS$$bScience Citation Index
000022463 915__ $$0StatID:(DE-HGF)0111$$2StatID$$aWoS$$bScience Citation Index Expanded
000022463 915__ $$0StatID:(DE-HGF)0510$$2StatID$$aOpenAccess
000022463 915__ $$0StatID:(DE-HGF)0010$$2StatID$$aJCR/ISI refereed
000022463 915__ $$0StatID:(DE-HGF)0300$$2StatID$$aDBCoverage$$bMedline
000022463 915__ $$0StatID:(DE-HGF)1020$$2StatID$$aDBCoverage$$bCurrent Contents - Social and Behavioral Sciences
000022463 915__ $$0StatID:(DE-HGF)0420$$2StatID$$aNationallizenz
000022463 915__ $$0StatID:(DE-HGF)0199$$2StatID$$aDBCoverage$$bThomson Reuters Master Journal List
000022463 9201_ $$0I:(DE-Juel1)PGI-2-20110106$$gPGI$$kPGI-2$$lTheoretische Nanoelektronik$$x0
000022463 9201_ $$0I:(DE-Juel1)IAS-3-20090406$$gIAS$$kIAS-3$$lTheoretische Nanoelektronik$$x1$$zIFF-3
000022463 970__ $$aVDB:(DE-Juel1)139036
000022463 980__ $$aVDB
000022463 980__ $$aConvertedRecord
000022463 980__ $$ajournal
000022463 980__ $$aI:(DE-Juel1)PGI-2-20110106
000022463 980__ $$aI:(DE-Juel1)IAS-3-20090406
000022463 980__ $$aUNRESTRICTED
000022463 9801_ $$aFullTexts
000022463 981__ $$aI:(DE-Juel1)IAS-3-20090406
000022463 999C5 $$1A. C. Hewson$$2Crossref$$oA. C. Hewson The Kondo Problem to Heavy Fermions 1997$$tThe Kondo Problem to Heavy Fermions$$y1997
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.45.211
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1016/0003-4916(83)90202-6
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/RevModPhys.59.1
000022463 999C5 $$1U. Weiss$$2Crossref$$9-- missing cx lookup --$$a10.1142/6738$$y2008
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevB.72.245103
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevA.57.120
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1038/nature00791
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1021/nl034893f
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.103.197202
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1126/science.1186874
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.81.5225
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1126/science.281.5376.540
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevB.84.245316
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1038/35042545
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1126/science.280.5363.567
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1038/nphys1072
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.80.2893
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.62.324
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/RevModPhys.68.13
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1063/1.1712502
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1002/andp.201100250
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/RevModPhys.47.773
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevB.21.1003
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevB.21.1044
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/RevModPhys.80.395
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.47.1553
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevB.33.7871
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1143/JPSJ.58.3666
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1080/13642819208215080
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1088/0953-8984/10/37/021
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.85.1508
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.95.196801
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevB.74.245114
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.99.076402
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1088/0953-8984/6/13/013
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevB.57.14254
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/RevModPhys.79.1015
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevB.55.30
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1016/0375-9601(82)90195-5
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1088/0022-3719/16/12/017
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.50.1157
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRev.138.A1112
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRev.164.856
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRev.148.665
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.49.497
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1088/0022-3719/18/28/017
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevB.43.13294
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevB.71.205104
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevB.49.11986
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevB.72.104432
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.76.275
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevB.70.153401
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1016/j.jmmm.2011.10.013
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRev.124.41
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRev.149.491
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1016/0038-1098(72)90882-4
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevB.73.045117
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevB.67.085104
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevB.32.4410
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.76.1683
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevB.59.12398
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.80.1038
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevB.38.5245
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevB.59.10541
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevA.68.034301
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1016/j.aop.2007.12.003
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevB.84.155110
000022463 999C5 $$1P. Hänggi$$2Crossref$$oP. Hänggi 2006$$y2006
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1088/1367-2630/10/11/115008
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevE.79.061105
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1140/epjb/e2011-20930-2
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1016/j.physe.2005.05.004
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1063/1.3669485
000022463 999C5 $$1H. B. Callen$$2Crossref$$oH. B. Callen Thermodynamics and an Introduction to Thermostatistics 1985$$tThermodynamics and an Introduction to Thermostatistics$$y1985
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.92.216601
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevB.79.012507
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1140/epjb/e2002-00231-9
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/RevModPhys.83.349
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.56.2521
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1088/0953-8984/24/5/053201
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevB.80.115109
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1007/BF01309423
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1016/j.physb.2011.10.030
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1088/0953-8984/10/12/009
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1088/1742-5468/2004/04/P04005
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.93.076401
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevB.78.195317
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevB.55.3003
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1140/epjb/e2011-20880-7
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1016/0375-9601(81)90663-0
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1143/JPSJ.51.2043
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1088/0022-3719/16/12/018
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1016/0375-9601(82)90881-7
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevB.65.165104
000022463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1016/0038-1098(82)91170-X