Publications (complete since 2002)

• Mixed Systems - Mesoscopic Physics
• Hamiltonian Ratchets
• Fractals in quantum mechanics
• Computational methods
• Further publications

Mixed Systems - Mesoscopic Physics

• Regular-to-Chaotic Tunneling Rates: From the Quantum to the Semiclassical Regime
  S. Löck, A. Bäcker, R. Ketzmerick, and P. Schlagheck
  [arXiv:0906.4893 [nlin.CD]]
• Quality factors and dynamical tunneling in annular microcavities
  A. Bäcker, R. Ketzmerick, S. Löck, J. Wiersig, and M. Hentschel
  Phys. Rev. A 79, 063804 (2009), 6 pages [arXiv:0903.0974 [nlin.CD]]
• Nano-wires with surface disorder: Giant localization lengths and dynamical tunneling in the presence of directed chaos
  J. Feist, A. Bäcker, R. Ketzmerick, J. Burgdörfer, and S. Rotter
  [arXiv:0908.3278 [cond-mat.mes-hall]]
• Semiclassical theory of nonlocal statistical measures: Residual Coulomb interactions
  D. Ullmo, S. Tomsovic, and A. Bäcker
  Phys. Rev. E 79, 056217 (2009), 20 pages
• Dynamical tunneling in mushroom billiards
  A. Bäcker, R. Ketzmerick, S. Löck, M. Robnik, G. Vidmar, R. Höhmann, U. Kuhl, and H.-J. Stöckmann
  Phys. Rev. Lett. 100, 174103 (2008), 4 pages [arXiv:0801.2833 [nlin.CD]]
• Residual Coulomb interaction fluctuations in chaotic systems: the boundary, random plane waves, and semiclassical theory
  S. Tomsovic, D. Ullmo, and A. Bäcker
  Phys. Rev. Lett. 100, 164101 (2008), 4 pages [arXiv:0712.0225 [cond-mat.mes-hall]]
• On universality of algebraic decays in Hamiltonian systems
  G. Cristadoro and R. Ketzmerick,
  Phys. Rev. Lett. 100, 184101 (2008), 4 pages [arXiv:0801.2756 [nlin.CD]]
• Regular-to-chaotic tunneling rates using a fictitious integrable system
  A. Bäcker, R. Ketzmerick, S. Löck, and L. Schilling
  Phys. Rev. Lett. 100, 104101 (2008), 4 pages [arXiv:0707.0217v1 [nlin.CD]]
• Universality in the flooding of regular islands by chaotic states
  A. Bäcker, R. Ketzmerick, and A. Monastra
  Phys. Rev. E 75, 066204 (2007), 11 pages [nlin.CD/701032]
• Nano-wires with surface disorder: Giant localization lengths and quantum-to-classical crossover
  J. Feist, A. Bäcker, R. Ketzmerick, S. Rotter, B. Huckestein, and J. Burgdörfer
  Phys. Rev. Lett. 97, 116804 (2006), 4 pages [cond-mat/0606586]
• Flooding of Chaotic Eigenstates into Regular Phase Space Islands
  A. Bäcker, R. Ketzmerick, and A. Monastra
  Phys. Rev. Lett. 94, 054102 (2005), 4 pages [nlin.CD/0409029]
• Can simple renormalization theories describe the trapping of chaotic trajectories in mixed systems?
  M. Weiss, L. Hufnagel, and R. Ketzmerick
  Phys. Rev. E 67, 046209 (2003), 6 pages [nlin.CD/0106021]
• Universal power-law decay in Hamiltonian systems?
  M. Weiss, L. Hufnagel, and R. Ketzmerick
  Phys. Rev. Lett. 89, 239401 (2002) (1 page)
  
• Eigenstates Ignoring Regular and Chaotic Phase-Space Structures
  L. Hufnagel, R. Ketzmerick, M.-F. Otto, and H. Schanz
  Phys. Rev. Lett. 89, 154101 (2002), 4 pages [nlin.CD/0204064]
• Isolated resonances in conductance fluctuations and hierarchical states
  A. Bäcker, A. Manze, B. Huckestein, and R. Ketzmerick
  Phys. Rev. E 66, 016211 (2002), 8 pages [nlin.CD/0201057]
• Orbit bifurcations and wavefunction autocorrelations
  A. Bäcker, J. P. Keating and S. Prado
  Nonlinearity 15, 1417-1433 (2002) [nlin.CD/0204006]
• Autocorrelation function of eigenstates in chaotic and mixed systems
  A. Bäcker and R. Schubert
  J. Phys. A 35, 539-564 (2002) [nlin.CD/0106018]
• Amplitude distribution of eigenfunctions in mixed systems
  A. Bäcker and R. Schubert
  J. Phys. A. 35, 527-538 (2002) [nlin.CD/0106017]
• Conductance fluctuations of generic billiards: Fractal or isolated?
  L. Hufnagel, R. Ketzmerick, and M. Weiss
  Europhys. Lett. 54, 703-708 (2001) [cond-mat/0009010]
• New class of eigenstates in generic Hamiltonian systems
  R. Ketzmerick, L. Hufnagel, F. Steinbach, and M. Weiss
  Phys. Rev. Lett. 85, 1214-1217 (2000) [nlin.CD/0004005]
• Quantum transport through ballistic cavities: soft vs. hard quantum chaos
  B. Huckestein, R. Ketzmerick, and C.H. Lewenkopf
  Phys. Rev. Lett. 84, 5504-5507 (2000) and Erratum: Phys. Rev. Lett. 87, 119901 (2001), 2 pages [cond-mat/9908090]

Hamiltonian Ratchets

• Directed chaotic transport in Hamiltonian ratchets
  H. Schanz, T. Dittrich, and R. Ketzmerick
  Phys. Rev. E 71, 026228 (2005), 20 pages [nlin.CD/0408021]
• Classical and quantum Hamiltonian ratchets
  H. Schanz, M.-F. Otto, R. Ketzmerick, and T. Dittrich
  Phys. Rev. Lett. 87, 070601 (2001), 4 pages [nlin.CD/0011038]
• Classical and quantum transport in deterministic Hamiltonian ratchets
  T. Dittrich, R. Ketzmerick, M.-F. Otto, and H. Schanz
  Ann. Phys. (Leipzig) 9, 755-763 (2000).

Fractals in quantum mechanics

• Detection of Landau band coupling induced rearrangement of the Hofstadter butterfly
  M. C. Geisler, J. H. Smet, V. Umansky, K. von Klitzing, B. Naundorf, R. Ketzmerick, and H. Schweizer
  Phys. Rev. Lett. 92, 256801 (2004)
• Electrons in 2D periodic magnetic and electric fields: Avoided band crossings, metal-insulator transitions, and changes in the spreading direction
  B. Naundorf and R. Ketzmerick
  [cond-mat/0403462]
• Bloch electrons in a magnetic field - why does chaos send electrons the hard way?
  R. Ketzmerick, K. Kruse, D. Springsguth, and T. Geisel
  Phys. Rev. Lett. 84, 2929-2932 (2000) [cond-mat/9810313]
• Avoided band crossings: Tuning metal-insulator transitions in chaotic systems
  R. Ketzmerick, K. Kruse, and T. Geisel
  Phys. Rev. Lett. 80, 137-140 (1998) [cond-mat/9709054]
• What determines the spreading of a wave packet?
  R. Ketzmerick, K. Kruse, S. Kraut, and T. Geisel
  Phys. Rev. Lett. 79, 1959-1963 (1997) [cond-mat/9611006]

Computational methods

• Numerical aspects of eigenvalue and eigenfunction computations for chaotic quantum systems
  A. Bäcker
  In The Mathematical Aspects of Quantum Maps, M. Degli Esposti and S. Graffi (Eds.) Springer Lecture Notes in Physics 618, 91-144 (2003) [nlin.CD/0204061, Ulm report ULM-TP/02-4]
  For the Python programs see here.
• Efficient diagonalization of kicked quantum systems
  R. Ketzmerick, K. Kruse, and T. Geisel
  Physica D 131, 247-253 (1999) [cond-mat/9712209]

Further publications

• Suppression of Photoionization by a Static Field
  I. Gilary, Y. Sajeev, M.F. Ciappina, A. Croy, C.M. Goletz, S. Klaiman, M. Sindelka, M. Winter, W. Wustmann, and N. Moiseyev
  Phys. Rev. Lett. 101, 163002 (2008), 4 pages
• Rigorous solution of a Hubbard model extended by nearest neighbour Coulomb and exchange interaction on a triangle and tetrahedron
  R. Schumann
  Ann. Phys. (Berlin), 1-39, (2008)
• Criticality condition of the fully anisotropic Ising model with next-nearest neighbour interaction
  R. Schumann, S. Kobe
  Physica A, Volume 386, Issue 1, 1 December 2007, Pages 187-193
• Analytical solution of extended Hubbard models on three- and four-site clusters
  R. Schumann
  Physica C 460-462 (2007) 1015-1017
• Average ground-state energy of finite Fermi systems
  M. Centelles, P. Leboeuf, A. G. Monastra, J. Roccia, P. Schuck, and X. Viñas
  Phys. Rev. Rev. C 74, 034332 (2006), 9 pages
• On the spacing distribution of the Riemann zeros: corrections to the asymptotic result
  E. Bogomolny, O. Bohigas, P. Leboeuf and A. G. Monastra
  J. Phys. A 39, 10743-10754 (2006)
• Fluctuations in the level density of a Fermi gas
  P. Leboeuf, A. G. Monastra and A. Relaño
  Phys. Rev. Lett. 94, 102502 (2005), 4 pages [nucl-th/0411068]
• Poincaré Husimi representation of eigenstates in quantum billiards
  A. Bäcker, S. Fürstberger, R. Schubert
  Phys. Rev. E 70, 036204 (2004), 10 pages [nlin.CD/0307035]
• Thermal remagnetization in polycrystalline permanent magnets
  R. Schumann and L. Jahn
  in Recent Research Developments in Magnetism & Magnetic Materials Vol. 1 (2003) Part I, Transworld Research Network 2003 [cond-mat/0305292]
• Influence of the initial temperature on the thermal remagnetization of SmCo₅ sintered magnets
  L. Jahn, V. Ivanov, R. Schumann, M. Loewenhaupt
  J. of Magnetism and Magnetic Materials 256 (2003) 41-45
• Behaviour of boundary functions for quantum billiards
  A. Bäcker, S. Fürstberger, R. Schubert and F. Steiner
  J. Phys. A 35, 10293-10310 (2002) [nlin.CD/0207034]
• Superballistic spreading of wave packets
  L. Hufnagel, R. Ketzmerick, T. Kottos, and T. Geisel
  Phys. Rev. E 64, 012301 (2001), 3 pages [cond-mat/0101146]
• Field dependence of the thermal remagnetization in sintered hard magnets
  L. Jahn, and R. Schumann
  J. of Magnetism and Magnetic Materials 251 (2002) 93-99
• Thermodynamics of a 4-site Hubbard model by analytical diagonalization
  R. Schumann
  Ann. Phys. (Leipzig) 11 (2002) 49-87

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Last modified: 21 September 2009, 12:19:41 , Impressum, © Arnd Bäcker

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