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Helium3 Kalkulator

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Forschergruppe 1346
Transregio 80
Sonderforschungsbereich 484 (2000-2009)
Center for Electronic Correlations and Magnetism (EKM)
Department of Physics
Augsburg University


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D. Vollhardt's publications

Complete publication list

Research topics / Selected publications




General Introductory Articles

  • Elektronische Korrelationen und Magnetismus - eine Einführung
    D. Vollhardt
    Universität Augsburg, 1996

  • Low Temperature Physics
    T. Dietl, H. Fukuyama, M. Paalanen, and D. Vollhardt
    in: Physics Now, ed. J. Ogborn, IUPAP 39, International Commission of Physics Education (2004)

  • Elektronische Korrelationen im Festörper
    D. Vollhardt
    Physik Journal 9, 71 (2010)
    PDF ]

    Dynamical mean-field theory for correlated electrons
    D. Vollhardt
    Ann. Phys. (Berlin) 524, 1 (2012)
    PDF ]


Correlated Electrons

 

Dynamical mean-field theory (DMFT) for correlated electrons

ab-initio theory of correlated electron materials (LDA+DMFT)

  • Introductory article:
    Strongly Correlated Materials: Insights from Dynamical Mean-Field Theory
    G. Kotliar and D. Vollhardt
    Physics Today 57, No. 3 (March), 53 (2004)

  • Review:
    Realistic Investigations of correlated electron materials with LDA+DMFT
    K. Held, I. A. Nekrasov, G. Keller, V. Eyert, N. Blümer, A. K. McMahan, R. T. Scalettar, T. Pruschke, V. I. Anisimov, and D. Vollhardt
    phys. stat. sol. (b) 243, 2599 (2006)

  • Calculation of photoemission spectra of the doped Mott insulator La1-xSrxTiO3 using LDA+DMFT(QMC)
    I. A. Nekrasov, K. Held, N. Blümer, A. I. Poteryaev, V. I. Anisimov, and D. Vollhardt
    Eur. Phys. J. B 18, 55 (2000)

  • Mott-Hubbard Metal-Insulator Transition in Paramagnetic V2O3: an LDA+DMFT(QMC) Study
    K. Held, G. Keller, V. Eyert, D. Vollhardt, and V.I. Anisimov
    Phys. Rev. Lett. 86, 5345 (2001)

  • Orbital state and magnetic properties of LiV2O4
    I. A. Nekrasov, Z. V. Pchelkina, G. Keller, Th. Pruschke, K. Held, A. Krimmel, D. Vollhardt, and V. I. Anisimov
    Phys. Rev. B 67, 085111 (2003)

  • Prominent quasi-particle peak in the photoemission spectrum of the metallic phase of V2O3
    S.-K. Mo, J. D. Denlinger, H.-D. Kim, J.-H. Park, J. W. Allen, A. Sekiyama, A. Yamasaki, K. Kadono, S. Suga, Y. Saitoh, T. Muro, P. Metcalf, G. Keller, K. Held, V. Eyert, V. I. Anisimov, and D. Vollhardt
    Phys. Rev. Lett. 90, 186403 (2003)

  • Mutual Experimental and Theoretical Validation of Bulk Photoemission Spectra of Sr1-xCaxVO3
    A. Sekiyama, H. Fujiwara, S. Imada, S. Suga, H. Eisaki, S. I. Uchida, K. Takegahara, H. Harima, Y. Saitoh, I. A. Nekrasov, G. Keller, D. E. Kondakov, A. V. Kozhevnikov, Th. Pruschke, K. Held, D. Vollhardt, and V. I. Anisimov
    Phys. Rev. Lett. 93, 156402 (2004)

  • Electronic Structure of Paramagnetic V2O3: Strongly Correlated Metallic and Mott Insulating Phase
    G. Keller, K. Held, V. Eyert, D. Vollhardt, and V. Anisimov
    Phys. Rev. B 70, 205116 (2004)

  • Dynamical Mean-Field Theory and Its Applications to Real Materials
    D. Vollhardt, K. Held, G. Keller, R. Bulla, Th. Pruschke, I. A. Nekrasov, and V. I. Anisimov
    J. Phys. Soc. Jpn. 74, 136 (2005)

  • Full orbital calculation scheme for materials with strongly correlated electrons
    V. I. Anisimov , D. E. Kondakov, A. V. Kozhevnikov, I. A. Nekrasov, Z. V. Pchelkina, J. W. Allen, S.-K. Mo, H.-D.Kim, P. Metcalf, S. Suga, A. Sekiyama, G. Keller, I. Leonov, X. Ren, and D. Vollhardt
    Phys. Rev. B 71, 125119 (2005)

  • Comparative study of correlation effects in CaVO3 and SrVO3
    I. A. Nekrasov, G. Keller, D. E. Kondakov, A. V. Kozhevnikov, Th. Pruschke, K. Held, D. Vollhardt, and V. I. Anisimov
    Phys. Rev. B 72, 155106 (2005)

  • Momentum-resolved spectral functions of SrVO3 calculated by LDA+DMFT
    I. A. Nekrasov, K. Held, G. Keller, D. E. Kondakov, Th. Pruschke, M. Kollar, O. K. Andersen, V. I. Anisimov, and D. Vollhardt
    Phys. Rev. B 73, 155112 (2006)

  • Evidence for strong electronic correlations in the spectra of Sr2RuO4
    Z.V. Pchelkina, I.A. Nekrasov, Th. Pruschke, A. Sekiyama, S. Suga, V.I. Anisimov, and D. Vollhardt
    Phys. Rev. B 75, 035122 (2007)

  • NiO: Correlated Bandstructure of a Charge-Transfer Insulator
    J. Kunes, V. I. Anisimov, S. L. Skornyakov, A. V. Lukoyanov and D. Vollhardt
    Phys. Rev. Lett. 99, 156404 (2007)

  • Structural relaxation due to electronic correlations in the paramagnetic insulator KCuF3
    I. Leonov, N. Binggeli, Dm. Korotin, V. I. Anisimov, N. Stojic, and D. Vollhardt
    Phys. Rev. Lett. 101, 096405 (2008)

  • Classification of the electronic correlation strength in the Fe-pnictides: The case of the parent compound BaFe2As2
    S. L. Skornyakov, A. V. Efremov, N. A. Skorikov, M. A. Korotin, Yu. A. Izyumov, V. I. Anisimov, A. V. Kozhevnikov, and D. Vollhardt
    Phys. Rev. B 80, 092501 (2009)

Mott-Hubbard metal-insulator transition

Magnetism

  • Review:
    Metallic Ferromagnetism - An Electronic Correlation Phenomenon
    D. Vollhardt, N. Blümer, K. Held, and M. Kollar
    in Band-Ferromagnetism, K. Baberschke, M. Donath, and W. Nolting (Eds.), Lecture Notes in Physics, Vol. 580, (Springer, Heidelberg, 2001), p. 191-207

  • Rigorous Criteria for Ferromagnetism in Itinerant Electron Systems
    R. Strack and D. Vollhardt,
    Phys. Rev. Lett. 72, 3425 (1994)

  • Ferromagnetism in Correlated Electron Systems: Generalization of Nagaoka's Theorem
    M. Kollar, R. Strack, and D. Vollhardt,
    Phys. Rev. B 53, 9225 (1996); Phys. Rev. B 55, E11878 (1997)

  • Non-Perturbative Approaches to Magnetism in Strongly Correlated Electron Systems
    D. Vollhardt, N. Blümer, K. Held, M. Kollar, J. Schlipf, and M. Ulmke
    Z. Phys. B 103, 283 (1997)

  • Correlated-Electron Theory of Strongly Anisotropic Metamagnets
    K. Held, M. Ulmke, N. Blümer, and D. Vollhardt,
    Phys. Rev. B 56, 14469 (1997)

  • Microscopic Conditions Favoring Itinerant Ferromagnetism
    J. Wahle, N. Blümer, J. Schlipf, K. Held, and D. Vollhardt,
    Phys. Rev. B 58, 12749 (1998)

  • Microscopic conditions favoring Itinerant Ferromagnetism: Hund's Rule Coupling and Orbital Degeneracy
    K. Held and D. Vollhardt
    Eur. Phys. J. B 5, 473 (1998)

  • Electronic correlations in manganites
    K. Held and D. Vollhardt
    Phys. Rev. Lett. 84, 5168 (2000)

  • Correlated hopping of electrons: Effect on the Brinkman-Rice transition and the stability of metallic ferromagnetism
    M. Kollar and D. Vollhardt
    Phys. Rev. B 63, 045107 (2001)

  • Derivation of the Curie-Weiss Law in Dynamical Mean-Field Theory
    K. Byczuk and D. Vollhardt
    Phys. Rev. B 65, 134433 (2002)

  • Ferromagnetism and Metal-Insulator Transition in the Disordered Hubbard Model
    K. Byczuk, M. Ulmke, and D. Vollhardt
    Phys. Rev. Lett. 90, 196403 (2003)

  • Influence of band and orbital degeneracies on ferromagnetism in the periodic Anderson model
    U. Yu, K. Byczuk, and D. Vollhardt
    Phys. Rev. B 78, 205118 (2008)

  • Ferromagnetism and Kondo Insulator Behavior in the Disordered Periodic Hubbard Model
    U. Yu, K. Byczuk, and D. Vollhardt
    Phys. Rev. Lett. 100, 246401 (2008)

Thermodynamics and transport properties

Analytic many-body methods

 

Exact ground states of correlated electron systems

Correlated electrons: Weak coupling theory

  • Ground State Energy of the d = 1,2,3 Dimensional Hubbard-Model in the Weak Coupling Limit
    W.Metzner and D. Vollhardt,
    Phys. Rev. B 39, 4462 (1989)

  • Fermionic Lattice Models with Internally Competing Symmetries: Nontrivial Algebraic Corrections in the Hartree-Fock Ground State Energy
    G. Uhrig, R. Strack and D. Vollhardt,
    Phys. Rev. B 46, 9940 (1992)

  • Frustration of Antiferromagnetism in the t-t'-Hubbard Model at Weak Coupling
    W. Hofstetter and D. Vollhardt,
    Ann. Physik 7, 48 (1998)

Gutzwiller variational wave functions

  • Review:
    Normal 3He: An Almost Localized Fermi-Liquid
    D. Vollhardt,
    Rev. Mod. Phys. 56, 99 (1984)

  • Brief Review:
    Gutzwiller-Type Wave Functions for Correlated Fermions
    D. Vollhardt, P.G.J. van Dongen, F. Gebhard, and W. Metzner
    Mod. Phys. Lett. B 4, 499 (1990)

  • Ground State Properties of Correlated Fermions: Exact Analytic Results for the Gutzwiller Wave Function
    W. Metzner and D. Vollhardt
    Phys. Rev. Lett. 59, 121 (1987)

  • Correlation Functions for Hubbard-Type Models: The Exact Results for the Gutzwiller Wave Function
    F. Gebhard and D. Vollhardt
    Phys. Rev. Lett. 59, 1472 (1987)

  • Analytic Calculation of Ground State Properties of Correlated Fermions with the Gutzwiller Wave Function
    W. Metzner and D. Vollhardt
    Phys. Rev. B 37, 7382 (1988)

  • The Correlation Functions for Fermions in the Gutzwiller-Ansatz
    F. Gebhard and D. Vollhardt
    Phys. Rev. B 38, 6911 (1988)

  • Variational Evaluation of Correlation Functions for Lattice Electrons in High Dimensions
    P. van Dongen, F. Gebhard, and D. Vollhardt
    Z. Phys. 76, 199 (1989)

  • Accurate Variational Results for the Symmetric Periodic Anderson Model in d = 1,2,3 Dimensions
    Zs. Gulácsi, R. Strack, and D. Vollhardt
    Phys. Rev. B 47, 8594 (1993)

  • Exact analytic results for the Gutzwiller wave function with finite magnetization
    M. Kollar and D. Vollhardt
    Phys. Rev. B 65, 155121 (2002)

Hole motion

  • Hole Dynamics in a Spin Background: A Sum-Rule Conserving Theory with Exact Limits
    W. Metzner, P. Schmit, and D. Vollhardt
    Phys. Rev. B 45, 2237 (1992)

  • Dynamics of a Hole in the t-J Model with Local Disorder: Exact Results in High Dimensions
    R. Strack and D. Vollhardt
    Phys. Rev. B 46, 13852 (1992)

  • Effects of Next-Nearest-Neighbor Hopping on the Hole Motion in an Antiferromagnetic Background
    A. Schiller, P. Kumar, R. Strack, and D. Vollhardt
    Phys. Rev. B 51, 8337 (1995)


Correlated Bosons

  • Correlated bosons on a lattice: Dynamical mean-field theory for Bose-Einstein condensed and normal phases
    K. Byczuk and D. Vollhardt
    Phys. Rev. B 77, 235106 (2008)

  • Mixtures of correlated bosons and fermions: Dynamical mean-field theory for normal and condensed phases
    K. Byczuk and D. Vollhardt
    Ann. Phys. (Berlin) 18, 622 (2009)


Disordered Systems

 

Anderson localization

  • Introductory article:
    The Metal-Insulator Transition in Disordered Systems
    D. Vollhardt
    in: Solid State Physics, Vol. I, Lecture Notes, Nordita Spring School, Tvärminne, Finnland (NORDITA, 1985), S. 73
    PDF (7.5M) ]

  • Introductory article:
    Der Metall-Isolator Übergang in Ungeordneten Systemen
    D. Vollhardt
    in: Unordnungsphänomene in Festk&oouml;rpern, 16. Ferienkurs der KFA Jülich (1985), S. 261
    PDF (0.5M) ]

  • Introductory article:
    Localization Effects in Disordered Systems
    D. Vollhardt
    in: Festkörperprobleme XXVII, Advances in Solid State Physics (Vieweg, Wiesbaden, 1987), p. 63
    PDF (1.8M) ]

  • Review:
    Self-consistent Theory of Anderson Localization
    D. Vollhardt and P. Wölfle
    in: Electronic Phase Transitions, eds. W. Hanke and Ya. V. Kopaev (North-Holland, Amsterdam, 1992), Chapter 1, p. 1
    PDF (6.3M) ]

  • Anderson Localization in d<=2 Dimensions: A Self-Consistent Diagrammatic Theory
    D. Vollhardt and P. Wölfle
    Phys. Rev. Lett 45, 842 (1980)

  • Diagrammatic, Self-Consistent Treatment of the Anderson Localization Problem in d<=2 Dimensions
    D. Vollhardt and P. Wölfle
    Phys. Rev. B 22, 4666 (1980)

  • Scaling Equations from a Self-Consistent Theory of Anderson Localization
    D. Vollhardt and P. Wölfle
    Phys. Rev. Lett. 48, 699 (1982)

  • Controlled Mean Field Theory for Disordered Electronic Systems: Single-Particle Properties
    R. Vlaming and D. Vollhardt
    Phys. Rev. B 45, 4637 (1992)

  • Conductivity of disordered electrons: Mean-field approximation containing vertex corrections
    V. Janis and D. Vollhardt
    Phys. Rev. B 63, 125112 (2001)

Interplay of electronic correlations and disorder

  • Brief Review:
    Disorder and Impurities in Hubbard-Antiferromagnets
    M. Ulmke, P.J.H. Denteneer, V. Janis, R.T. Scalettar, A. Singh, D. Vollhardt, and G.T. Zimanyi
    Adv. in Solid State Phys. 38, 369 (1999)

  • Anderson-Hubbard Model in Infinite Dimensions
    M. Ulmke, V. Janis, and D. Vollhardt
    Phys. Rev. B 51, 10411 (1995)

  • Disorder-Enhanced Delocalization and Local-Moment Quenching in a Disordered Antiferromagnet
    A. Singh, M. Ulmke, and D. Vollhardt,
    Phys. Rev. B 58, 8683 (1998)

  • Mott-Hubbard metal-insulator transition at non-integer filling
    K. Byczuk, W. Hofstetter, and D. Vollhardt
    Phys. Rev. B 69, 045112 (2004)

  • Mott-Hubbard Transition versus Anderson Localization in Correlated Electron Systems with Disorder
    K. Byczuk, W. Hofstetter, and D. Vollhardt
    Phys. Rev. Lett. 94, 056404 (2005)

  • Competition between Anderson localization and antiferromagnetism in correlated lattice fermion systems with disorder
    K. Byczuk, W. Hofstetter, and D. Vollhardt
    Phys. Rev. Lett. 102, 146403 (2009)


Helium-3

 

Normal-liquid Helium 3

Superfluid Helium 3

  • Monograph:
    The Superfluid Phases of Helium 3
    D. Vollhardt and P. Wölfle
    (Taylor and Francis, London, 1990), 619 pages (excerpt).

    Introduction (PDF, 0.4M) ]

  • Introductory article (in German):
    Suprafluides 3He: Die Super-Flüssigkeit; Teil 1: Grundlagen
    D. Vollhardt,
    Phys. Bl. 39, 41 (1983)

  • Introductory article (in German):
    Suprafluides 3He: Die Super-Flüssigkeit; Teil 2: Statische Eigenschaften
    D. Vollhardt,
    Phys. Bl. 39, 120 (1983)

  • Introductory article (in German):
    Suprafluides 3He: Die Super-Flüssigkeit; Teil 3: Dynamische Eigenschaften
    D. Vollhardt,
    Phys. Bl. 39, 151 (1983)

  • Introductory article:
    Superfluid Helium 3: Link between Condensed Matter Physics and Particle Physics
    D. Vollhardt and P. Wölfle
    Acta Physica Polonica B 31, 2837 (2000)

  • Helical Texture in 3He-A and Magnetic Resonance
    Y.R. Lin-Liu, D. Vollhardt, and K. Maki
    Phys. Rev. B 20, 159 (1979)

  • Phase Diagram for the Helical Texture in 3He-A
    D. Vollhardt, Y.R. Lin-Liu, and K. Maki
    J. Low Temp. Phys. 37, 627 (1979)

  • Composite Solitons in 3He-A in the Presence of Superflow
    D. Vollhardt and K. Maki
    Phys. Rev. B 20, 963 (1979)

  • Anisotropic Gap Distortion Due to Superflow and the Pairbreaking Critical Current in Superfluid 3He-B
    D. Vollhardt, K. Maki, and N. Schopohl
    J. Low Temp. Phys. 39, 79 (1980)

  • Symmetry and Stationary Points of a Free Energy: The case of superfluid 3He
    C. Bruder and D. Vollhardt
    Phys. Rev. B 34, 131 (1986)


URL: http://www.physik.uni-augsburg.de/theo3/Publications/publications_select.vollha.en.shtml