Statistical Physics and Condensed Matter

Flow Equations for Hamiltonians

Some papers of other groups using flow equations

  1. S.D. Glazek, and K.G. Wilson:
    Perturbative renormalization group for Hamiltonians
    Phys. Rev. D 49, 4214 (1994)
    see also S.D. Glazek, and K.G. Wilson: Phys. Rev. D 48, 5863 (1993)
  2. K.G. Wilson, T.S. Walhout, A. Harindranath, W.M. Zhang, R.J. Perry, and S.D. Glazek:
    Phys. Rev D 49, 6720 (1994).
  3. M. Brisudova, and R. Perry:
    Initial bound state studies in light-front QCD
    Phys. Rev. D 54, 1831 (1996)
  4. B.D. Jones, R. Perry, and S.D. Glazek:
    Nonperturbative QED: An analytical treatment on the light front.
    Phys.Rev. D55 (1997) 6561-6583
  5. S.D. Glazek:
    Renormalization of Hamiltonian
  6. S.D. Glazek, K.G. Wilson:
    Asymptotic freedom and bound states in Hamiltonian dynamics
    Phys.Rev. D57 (1998) 3558-3566
  7. G.S. Uhrig:
    Nonadiabatic Approach to Spin-Peierls Transitions via Flow Equations:
    Phys. Rev. B57, R14004 (1998)
  8. M. Crisan, C.P. Moca, I. Tifrea:
    The Flow-Equation Method for the Single Impurity in a 2D Superconductor:
    Jour. of Supercond. 10 (1997) 251
  9. C. P. Moca, M. Crisan, I. Tifrea:
    Flow-Equation method for a superconductor with magnetic correlations.
    Jour. of Supercond. 11 (1998) 719
  10. C. P. Moca, I. Tifrea, M. Crisan:
    Flow-Equations for the Model of Hybridized Bosons and Fermions.
  11. T.S. Walhout:
    Similarity Renormalization, Hamiltonian Flow Equations, and Dyson's Intermediate Representation
    Phys.Rev. D59 (1999) 065009
  12. S. Szpigel and R.J. Perry:
    A renormalization group for hamiltonian field theory
    in H. Yabu, K. Itakura, T. Matsui, M. Oka (eds.), Proc. of the 1998 YITP-workshop on the physics of hadrons and QCD, World Scientific, Singapore, 1999
  13. S. Kehrein:
    Flow equation solution for the weak to strong-coupling crossover in the sine-Gordon model.
    Phys. Rev. Lett. 83, 4914 (1999)
  14. H.C. Pauli:
    Applying the flow equations to QCD.
    Nucl. Phys. B (Proc. Suppl.) 90, 147 (2000)
  15. C. Knetter and G.S. Uhrig:
    Perturbation Theory by Flow Equations: Dimerized and Frustrated S=1/2 Chain.
    Eur. Phys. J B13, 209 (2000)
  16. S. Szpigel and R.J. Perry:
    The Similarity Renormalization Group
    in Quantum Field Theory, A 20th Century Profile
  17. S.D. Glazek:
    Running Couplings in Hamiltonians
    Acta Phys. Polon. B31 (2000) 909
  18. S. Kehrein:
    Flow equation approach to the sine-Gordon model
    Nucl. Phys. B[FS]592, 512-562 (2001)
  19. W. Hofstetter and S. Kehrein:
    Flow equation analysis of the anisotropic Kondo model.
    Phys. Rev. B 63, 140402 (2001)
  20. C. Knetter, E. Mueller-Hartmann, G.S. Uhrig
    Symmetries and Triplet Dispersion in a Modified Shastry-Sutherland Model for SrCu2(BO3)2
    J.Phys.: Condens. Matter Vol 12 (Iss 42), 9069 (2000)
  21. T. Domanski and J. Ranninger:
    Non-linear feedback effects in coupled Boson_fermion system
    Phys. Rev. B 63, 134505 (2001)
  22. C. Raas, A. Bühler und G. S. Uhrig:
    Effective Spin Models for Spin-Phonon Chains by Flow Equations
    European Physical Journal B 21, 369 (2001)
  23. K.P. Schmidt, C. Knetter, G.S. Uhrig:
    Raman Response in Antiferromagnetic Two-Leg S=1/2 Heisenberg Ladders
    Europhys. Lett. 56, 877 (2001)
  24. C. Knetter, K.P. Schmidt, G.S. Uhrig:
    Multi-particle excitations and spectral densities in quantum spin-systems
    Physica B 312, 527 (2002)
  25. C. P. Heidbrink and G. S. Uhrig:
    Landau's quasi-particle mapping: Fermi liquid approach and Luttinger liquid behavior
    Phys. Rev. Lett. 88, 146401 (2002)
  26. W. Brenig and A. Honecker:
    Planar pyrochlore: a strong-coupling analysis.
    Phys. Rev. B65, 140407(R) (2002)
  27. S. D. Glazek:
    Dynamics of effective gluons:
    Phys. Rev. D63 (2001) 116006
  28. Y. Ohira and K. Imafuku:
    Flow equation approach to diagonal representation of an unbounded Hamiltonian with complex eigenvalues.
  29. S. R. White:
    A numerical canonical transformation approach to quantum many body problems
  30. S. D. Glazek, K. G. Wilson:
    Limit cycles in quantum theories
    Phys. Rev. Lett. 89 (2002) 230401
  31. K. W. Becker, A. Huebsch, T. Sommer:
    Renormalization approach to many-particle systems
    Phys. Rev. B 66 (2002) 235115
  32. S. Kehrein, M. Vojta:
    Soliton Fermi sea in models of Ising-coupled Kondo impurities
  33. C.P. Heidbrink, G.S. Uhrig:
    Renormalization by Continuous Unitary Transformations: One-Dimensional Spinless Fermions
    Eur. Phys. J. B 30 (2002) 443
  34. Wolfram Brenig:
    Spin dynamics of a tetrahedral cluster magnet.
  35. C. Slezak, S. Kehrein, T. Pruschke, M. Jarrell:
    Semi-analytical solution of the Kondo model in a magnetic field
    Phys. Rev. B 67, 184408 (2003)
  36. A. Huebsch, K. W. Becker:
    Renormalization of the electron-phonon interaction: a reformulation of the BCS-gap equation
    Eur. Phys. J. B 33, 391 (2003)
  37. S. D. Glazek, J. Mlynik:
    Optimization of perturbative similarity renormalization group for Hamiltonians with asymptotic freedom and bound states.
    Phys.Rev. D67 (2003) 045001
  38. K-P. Schmidt, H. Monien, G.S. Uhrig:
    Rung-singlet phase of the S=1/2 two-leg spin-ladder with four-spin cyclic exchange
  39. K. P. Schmidt, G.S. Uhrig:
    Excitations in one-dimensional S=1/2 quantum antiferromagnets
    Phys. Rev. Lett. 90 (2003) 227204
  40. S. Kleff, S. Kehrein, J. v. Delft:
    Flow equation renormalization of a spin-boson model with a structured bath
    Physica E 18, 343 (2003)
  41. T. Domanski:
    Feshbach resonance described by the boson fermion coupling
    Phys. Rev. A 68, 013603 (2003)
  42. T. Stauber, F. Guinea:
    Assisted hopping in the Anderson impurity model: A flow equation study
  43. S.D. Glazek, K.G. Wilson:
    Universality, marginal operators, and limit cycles
  44. S. Kleff, S. Kehrein, J. von Delft:
    Exploiting environmental resonances to enhance qubit quality factors
    Phys. Rev. B 70, 014516 (2004)
  45. B.H. Bartlett:
    Flow Equations for Hamiltonians from Continuous Unitary Transformations
  46. S.D. Glazek, J. Mlynik:
    Accuracy estimate for a relativistic Hamiltonian approach to bound-state problems in theories with asymptotic freedom
    Acta Phys. Polon. B35 (2004) 723
  47. Kai P. Schmidt, Christian Knetter, Götz S. Uhrig
    Spectral properties of the dimerized and frustrated S=1/2 chain
    Phys. Rev. B 69 (2004) 104417
  48. F.G. Scholtz, B.H. Bartlett, H.B. Geyer:
    Nonperturbative Flow Equations from Running Expectation Values
    Phys. Rev. Lett. 91 (2003) 080602
  49. C. Knetter, G.S. Uhrig:
    Dynamic Structure Factor of the Two-Dimensional Shastry-Sutherland Model
    Phys. Rev. Lett. 92, 027204 (2004)
  50. T. Domanski, J. Ranninger:
    Bogoliubov shadow bands in the normal state of superconducting systems with strong pair fluctuations
    Phys. Rev. Lett. 91 (2003) 255301
  51. S.D. Glazek:
    Similarity renormalization group as a theory of effective particles
    hep-th/0310248 Invited talk in Proceedings of Light-Cone Workshop: Hadrons and Beyond (LC 03), Durham, England, 5-9 Aug 2003, Ed. S. Dalley
  52. Ch. Knetter, K.P. Schmidt, G.S. Uhrig:
    High Order Perturbation Theory for Spectral Densities of Multi-Particle Excitations: S=1/2 Two-Leg Heisenberg Ladder
    Eur. Phys. J. B 36 (2004) 525
  53. A. Reischl, E. Müller-Hartmann, G.S. Uhrig:
    Systematic Mapping of the Hubbard Model to the Generalized t-J Model
    Phys. Rev. B 70 (2004) 245124
  54. S. Sykora, A. Huebsch, K. W. Becker, G. Wellein, H. Fehske:
    Single-particle excitations and phonon softening in the one-dimensional spinless Holstein model
    Phys. Rev. B 71, 045112 (2005)
  55. S. Dusuel, Goetz S. Uhrig:
    The Quartic Oscillator: a Non-Perturbative Study by Continuous Unitary Transformations
    cond-mat/0405166 J. Phys. A 37 (2004) 9275
  56. D. Lobaskin, S. Kehrein:
    Crossover from Non-Equilibrium to Equilibrium Behavior in the Time-Dependent Kondo Model
  57. S. Sykora, A. Huebsch, K.W. Becker:
    Computer aided perturbation theory by cumulants: dimerized and frustrated spin 1/2 chain
    Phys. Rev. B70 (2004) 054408
  58. Karsten Meyer:
    Flow equation approach to heavy fermion systems
    Eur. Phys. J. B 42 (2004) 17
  59. A. Huebsch, K.W. Becker:
    Renormalization of the periodic Anderson model: an alternative analytical approach to heavy Fermion behavior
    Phys. Rev. B 71, 155116 (2005)
  60. J.N. Kriel, A.Y. Morozov, F.G. Scholtz:
    Non-perturbative flow equations from continuous unitary transformations
    J. Phys. A38 (2005) 205
  61. S. Dusuel, J. Vidal:
    Finite-Size Scaling Exponents of the Lipkin-Meshkov-Glick Model
    Phys. Rev. Lett. 93 (2004) 237204
  62. Stefan Kehrein:
    Scaling and Decoherence in the Out-of-Equilibrium Kondo Model
  63. A. Schwenk:
    Nuclear interactions from the renormalization group
    Int.J.Mod.Phys. B20 (2006) 2724-2729
  64. S. Dusuel, J. Vidal:
    Continuous unitary transformations and finite-size scaling exponents in the Lipkin-Meshkov-Glick model
    Phys. Rev. B 71 (2005) 224420
  65. S. Dusuel, J. Vidal:
    Finite-size scaling exponents and entanglement in the two-level BCS model
    Phys. Rev. A71 (2005) 060304
  66. G.S. Uhrig, K.P. Schmidt, M. Grüninger:
    Magnetic Excitations in Bilayer High-Temperature Superconductors with Stripe Correlations
    JPSP 73 Suppl. (2005) 86
  67. S. Dusuel, J. Vidal, J. M. Arias, J. Dukelsky, J. E. Garcia-Ramos:
    Finite-size scaling exponents in the interacting boson model
    Phys. Rev. C72 (2005) 011301
  68. T. Sommer:
    Flow equations for the one-dimensional Kondo lattice model: Static and dynamic ground state properties
    Eur. Phys. J. B 52, 315-327 (2006)
  69. A. Huebsch, K.W. Becker:
    Valence transition in the periodic Anderson model
    Eur. Phys. J. B 52, 345 (2006)
  70. A.Reischl, K.P. Schmidt, G.S. Uhrig:
    Temperature in one-dimensional bosonic Mott insulators
    Physical Review A 72, 063609 (2005)
  71. S. Sykora, A. Huebsch, K. W. Becker:
    Analytical approach to the quantum-phase transition in the one-dimensional spinless Holstein model
    Eur. Phys. J. B 51, 181 (2006)
  72. M. Arlego, W. Brenig:
    Series expansion analysis of a tetrahedral cluster spin chain
  73. S. Dusuel, J. Vidal, J. M. Arias, J. Dukelsky, J. E. Garcia-Ramos:
    Continuous unitary transformations in two-level boson systems
    Phys. Rev. C 72, 064332 (2005)
  74. K.P.Schmidt, A. Reischl, G.S. Uhrig:
    Loaded Cold Bosons in the Mott Insulating Phase of One-Dimensional Optical Lattices
    European Physical Journal D 38, 343 (2006)
  75. K.P. Schmidt, G.S. Uhrig:
    Hardcore Magnons in the S=1/2 Heisenberg Model on the Square Lattice
    Physical Review B 73, 172407 (2006)
  76. T. Domanski:
    Flow equation approach to the pairing problems
    Cond. Mat. Phys. 11, 195 (2008)
  77. K.P. Schmidt, M. Grüninger, G.S. Uhrig:
    The fate of orbitons coupled to phonons
    Phys. Rev. B 76, 075108 (2007)
  78. S. Sykora, A. Huebsch, K.W. Becker:
    Dominant particle-hole contributions to the phonon dynamics in the spinless one-dimensional Holstein model
    Europhys. Lett., 76, 644 (2006)
  79. T. Domanski, A. Donabidowicz:
    The flow equation approach to the pairing instability problem
    Int. Journ. Mod. Phys. E 16, 263 (2007)
  80. S.D. Glazek:
    Limit cycles of effective theories
    Phys.Rev. D75 (2007) 025005
  81. S.K. Bogner, R.J. Furnstahl, R.J. Perry:
    Similarity Renormalization Group for Nucleon-Nucleon Interactions
  82. S.K. Bogner, R.J. Furnstahl, R.J. Perry, A. Schwenk:
    Are low-energy nuclear observables sensitive to high-energy phase shifts?
  83. K.W. Becker, S. Sykora, V. Zlatic:
    Static and dynamic properties of the spinless Falicov-Kimball model
  84. H. Hergert, R. Roth:
    The Unitary Correlation Operator Method from a Similarity Renormalization Group Perspective
    Phys. Rev. C 75, 051001(R) (2007)
  85. Yuichi Itto, Sumiyoshi Abe:
    Stationary photon-atom entanglement and flow equation
  86. A. Hackl, S. Kehrein:
    Real Time Evolution in Quantum Many-Body Systems With Unitary Perturbation Theory
    Phys. Rev. B 78, 092303 (2008)
  87. K.P. Schmidt, S. Dusuel, J. Vidal:
    Emergent fermions and anyons in the Kitaev model
  88. M. Moeckel, S. Kehrein:
    Interaction Quench in the Hubbard model
    Phys. Rev. Lett. 100, 175702 (2008)
  89. S. D. Glazek, R. J. Perry:
    The impact of bound states on similarity renormalization group transformations
    Phys.Rev.D78:045011 (2008)
  90. J. Vidal, S. Dusuel, K. P. Schmidt:
    Low-energy effective theory of the toric code model in a parallel field
    Phys.Rev.B79:033109 (2009)
  91. S. Sykora, A. Hübsch, K. W. Becker:
    Coexistence of superconductivity and charge-density waves in a two-dimensional Holstein model at half-filling
  92. A. Hübsch, S. Sykora, K. W. Becker:
    Projector-based renormalization method (PRM) and its application to many-particle systems
  93. A. Hackl, S. Kehrein:
    Unitary perturbation theory approach to real-time evolution problems
    arXiv:0809.3524 J. Phys. C 21, 015601 (2009)
  94. S. D. Glazek:
    Renormalization group and bound states
  95. S. D. Glazek:
    Renormalization group and bound states
  96. P. Fritsch, S. Kehrein:
    Non-Equilibrium Scaling Analysis of the Kondo Model with Voltage Bias
  97. S. Sykora, K. W. Becker:
    Microscopic approach to high-temperature superconductors: Pseudogap phase
  98. S. Sykora, K. W. Becker:
    Microscopic approach to high-temperature superconductors: Superconducting phase
  99. A. Hackl, D. Roosen, S. Kehrein, W. Hofstetter:
    Nonequilibrium Spin Dynamics in the Ferromagnetic Kondo Model
    arXiv:0903.1079 Phys. Rev. Lett. 102, 196601 (2009)

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Nov. 2007