Full List of Publications
Back to recent publications.
2016
- N. Kwidzinski and R. Bulla
The classical harmonic chain: solution via Laplace transforms and continued fractions
arXiv:1608.00616.
2015
- A.K. Mitchell and R. Bulla
Validity of the local self-energy approximation: Application to coupled quantum impurities
Phys. Rev. B 92, 155101 (2015). - M. Vojta, R. Bulla and P. Wölfle
Critical quasiparticles in single-impurity and lattice Kondo models
Eur. Phys. J. Special Topics 224, 1127 (2015).
2014
- A.K. Mitchell, M.R. Galpin, S. Wilson-Fletcher, D.E. Logan, and R. Bulla
Generalized Wilson chain for solving multichannel quantum impurity problems
Phys. Rev. B 89, 121105(R) (2014).
2013
- A.K. Mitchell, M. Vojta, R. Bulla, and L. Fritz
Quantum phase transitions and thermodynamics of the power-law Kondo model
Phys. Rev. B 88, 195119 (2013).
2012
- R. Bulla
The Numerical Renormalization Group
Chapter 12 in
Correlated Electrons: From Models to Materials - Lecture Notes of the Autumn School Correlated Electrons 2012
Eva Pavarini, Erik Koch, Frithjof Anders, and Mark Jarrell (eds.), Correlated Electrons: From Models to Materials, Modeling and Simulation, Vol. 2, Verlag des Forschungszentrum Jülich, 2012.
2011
- A.K. Mitchell, M. Becker, and R. Bulla
Real-space renormalization group flow in quantum impurity systems: local moment formation and the Kondo screening cloud
Phys. Rev. B 84, 115120 (2011).
2010
- S. Tornow, R. Bulla, F.B. Anders, and G. Zwicknagl
Multiple-charge transfer and trapping in DNA dimers
Phys. Rev. 82, 195106 (2010).
- R. Bulla
Correlated electrons in a dissipative environment
Eur. Phys. J. Special Topics 180, 153 (2010).
- H.-J. Lee, K. Byczuk, and R. Bulla
Numerical renormalization group for the bosonic single-impurity Anderson model: Dynamics
Phys. Rev. B 82, 054516 (2010).
- M. Vojta, L. Fritz, and R. Bulla
Gate-controlled Kondo screening in graphene: Quantum criticality and electron-hole asymmetry
Europhys. Lett. 90, 27006 (2010).
- M. Vojta, R. Bulla, F. Güttge, and F. Anders
The mass-flow error in the Numerical Renormalization Group method and the critical behavior of the sub-ohmic spin-boson model
Phys. Rev. B 81, 075122 (2010).
2009
- A. Winter, H. Rieger, M. Vojta, and R. Bulla
The quantum phase transition in the sub-ohmic spin-boson model: Quantum Monte-Carlo study with a continuous imaginary time cluster algorithm
Phys. Rev. Lett. 102, 030601 (2009).
2008
- S. Tornow, R. Bulla, F. B. Anders, and A. Nitzan
Dissipative two-electron transfer: A numerical renormalization group study
Phys. Rev. B 78, 035434 (2008).
- T. Hecht, A. Weichselbaum, J. von Delft, and R. Bulla
Numerical renormalization group calculation of near-gap peaks in spectral functions of the Anderson model with superconducting leads
J. Phys.: Condens. Matter 20, 275213 (2008).
- R. Bulla, S. Tornow, and F. Anders
Electronic Correlations in Electron Transfer Systems
Adv. Solid State Phys. 47, 69 (2008).
- R. Bulla, T.A. Costi, and Th. Pruschke
Numerical renormalization group method for quantum impurity systems
Rev. Mod. Phys. 80, 395 (2008).
2007
- M. Sindel, L. Borda, J. Martinek, R. Bulla, J. König, G. Schön, S. Maekawa, and J. von Delft
Kondo quantum dot coupled to ferromagnetic leads: Numerical renormalization group study
Phys. Rev. B 76, 045321 (2007).
- J.-X. Zhu, S. Kirchner, R. Bulla, and Q. Si
Zero-Temperature Magnetic Transition in an Easy-Axis Kondo Lattice Model
Phys. Rev. Lett. 99, 227204 (2007).
- F.B. Anders, R. Bulla, and M. Vojta
Equilibrium and Nonequilibrium Dynamics of the Sub-Ohmic Spin-Boson Model
Phys. Rev. Lett. 98, 210402 (2007).
- H.-J. Lee and R. Bulla
Quantum Phase Transitions in the Bosonic Single-Impurity Anderson Model
Eur. Phys. J. B 56, 199 (2007).
2006
- S. Tornow, N.-H. Tong, and R. Bulla
Dissipative Exciton Transfer in Donor-Bridge-Acceptor Systems: Numerical Renormalization Group Calculation of Equilibrium Properties
J. Phys.: Condens. Matter 18, 5985 (2006).
- R. Bulla, R. Gutierrez, and G. Cuniberti
Modeling molecular conduction in DNA wires: Charge transfer theories and dissipative quantum transport
in Modern methods for theoretical physical chemistry of biopolymers, edited by S. Tanaka, J. Lewis, and E. Starikow, Elsevier (2006)
cond-mat/0604440.
- S. Tornow, N.-H. Tong, and R. Bulla
Electron Transfer in Donor-Acceptor Systems: Many-Particle Effects and Influence of Electronic Correlations
Europhys. Lett. 73, 913 (2006).
- R. Bulla
Dynamical Mean-Field Theory - from Quantum Impurity Physics to Lattice Problems
Phil. Mag. 86, 1877 (2006).
2005
- H.-J. Lee, R. Bulla, and M. Vojta
Numerical Renormalization Group for Impurity Quantum Phase Transitions: Structure of Critical Fixed Points
J. Phys.: Condens. Matter 17, 6935 (2005).
- Th. Pruschke and R. Bulla
Hund's coupling and the metal-insulator transition in the two-band Hubbard model
Eur. Phys. J. B 44, 217 (2005).
- M. Vojta, N.-H. Tong, and R. Bulla
Quantum phase transitions in the sub-ohmic spin-boson model: Failure of the quantum-classical mapping
Phys. Rev. Lett. 94, 070604 (2005).
Erratum:
Phys. Rev. Lett. 102, 249904 (2009).
- D. Vollhardt, G. Keller, K. Held,
Th. Pruschke, R. Bulla, I.A. Nekrasov, and
V.I. Anisimov
Dynamical Mean Field Theory and Its Applications to Real Materials
J. Phys. Soc. Jpn. 74, 136 (2005).
- R. Bulla, H.-J. Lee, N.-H. Tong, and M. Vojta
Numerical Renormalization Group for Quantum Impurities in a Bosonic Bath
Phys. Rev. B 71, 045122 (2005).
- J. Martinek, M. Sindel, L. Borda, J. Barnas, R. Bulla,
J. König, G. Schön, S. Maekawa, and J. von Delft
Gate-controlled spin-splitting in quantum dots with ferromagnetic leads in the Kondo regime
Phys. Rev. B 72, 121302(R) (2005).
- H.-J. Lee and R. Bulla
Quantum Critical Points in Quantum Impurity Systems
Physica B 359-361, 56 (2005).
2004
- N.-H. Tong, S. Shen, and R. Bulla
Charge ordering and phase separation in the infinite dimensional extended Hubbard model
Phys. Rev. B 70, 085118 (2004).
- R. Zitzler, Th. Pruschke, and R. Bulla
Itinerant ferromagnetism, phase separation and first-order paramagnetic metal to antiferromagnetic insulator transitions - novel insights to the frustrated Hubbard model
J. Magn. & Magn. Mater. 272-76, 21 (2004).
- R. Zitzler, N.-H. Tong, Th. Pruschke, and R. Bulla
Phase diagram of the frustrated Hubbard model
Phys. Rev. Lett. 93, 016406 (2004).
2003
- R. Bulla, N.-H. Tong, and M. Vojta
Numerical Renormalization Group for Bosonic Systems and Application to the Subohmic Spin-Boson Model
Phys. Rev. Lett. 91, 170601 (2003).
- H.-A. Krug von Nidda, R. Bulla,
N. Büttgen, M. Heinrich, and A.
Loidl
Heavy Fermions in transition metals and transition-metal oxides
Eur. Phys. J. B 34, 399 (2003).
-
J.K. Freericks, T.P. Devereaux,
R. Bulla, and Th. Pruschke
Nonresonant inelastic light scattering in the Hubbard model
Phys. Rev. B 67, 155102 (2003).
-
R. Bulla and M. Vojta
Quantum Phase Transitions in Models of Magnetic Impurities
in Concepts in Electron Correlations,
A.C. Hewson and V. Zlatic (eds.), Kluwer Academic Publishers, Dordrecht (2003), 209.
-
J.K. Freericks, T.P. Devereaux, and R. Bulla
Inelastic Light Scattering and the Correlated Metal-Insulator Transition
in Concepts in Electron Correlations,
A.C. Hewson and V. Zlatic (eds.), Kluwer Academic Publishers, Dordrecht (2003), 115.
-
Y. Ono, M. Potthoff, and R. Bulla
Mott transitions in correlated electron systems with orbital degrees of freedom
Phys. Rev. B 67, 035119 (2003).
-
Y. Ono, R. Bulla, and M. Potthoff
Mott Transition in the multi-band Hubbard model in infinite dimensions
Physica B 329, 942 (2003).
-
J.K. Freericks, T.P. Devereaux, and R. Bulla
Inelastic Light Scattering and the Correlated Metal-Insulator Transition
Acta Phys. Pol. B 34, 737 (2003).
2002
-
D. Meyer, A.C. Hewson, and R. Bulla
Gap formation and soft phonon mode in the Holstein model
Phys. Rev. Lett. 89, 196401 (2002).
-
K. Byczuk, R. Bulla, R. Claessen, and D. Vollhardt
Phenomenological Modeling of Photoemission Spectra in Strongly Correlated Electron Systems
Int. Journ. Mod. Phys. B 16, 3759 (2002) .
-
M. Vojta, R. Zitzler, R. Bulla, and Th. Pruschke
Kondo screening in d-wave superconductors in a Zeeman field and implications for STM spectra of Zn-doped cuprates
Phys. Rev. B 66, 134527 (2002).
-
M. Vojta and R. Bulla
A fractional-spin phase in the power-law Kondo model
Eur. Phys. J. B 28, 283 (2002).
-
R. Zitzler, Th. Pruschke, and R. Bulla
Magnetism and Phase Separation in the Ground State of the Hubbard Model
Eur. Phys. J. B 27, 473 (2002).
2001
-
J.K. Freericks, T.P. Devereaux, and R. Bulla
B1g Raman scattering through a quantum critical point
Acta Physica Polonica B 32, 3219 (2001).
-
M. Vojta and R. Bulla
Kondo effect of impurity moments in d-wave superconductors: Quantum phase transition and spectral properties
Phys. Rev. B 65, 014511 (2001).
-
M. Vojta, R. Bulla, and W. Hofstetter
Quantum phase transitions in models of coupled magnetic impurities
Phys. Rev. B 65, 140405(R) (2001).
-
J.K. Freericks, T.P. Devereaux, and R. Bulla
Exact theory for electronic Raman scattering of correlated materials in infinite dimensions
Phys. Rev. B 64, 233114 (2001).
-
Y. Ono, R. Bulla, A.C. Hewson, and M. Potthoff
Critical behaviour near the metal-insulator transition of a doped Mott insulator
Eur. Phys. J. B 22, 283 (2001).
-
R. Bulla, T.A. Costi, and D. Vollhardt
Finite temperature numerical renormalization group study of the Mott-transition
Phys. Rev. B 64, 045103 (2001).
-
A.C. Hewson, S.C. Bradley, R. Bulla, and
Y. Ono
Renormalization Group Approaches to Strongly Correlated Electron Systems
Int. Journ. Mod. Phys B 15, 2549 (2001).
-
Y. Ono, R. Bulla, and A.C. Hewson
Phase diagram of the Mott Transition in a two-band Hubbard model in infinite dimensions
Eur. Phys. J. B 19, 375 (2001).
-
R. Bulla and Th. Pruschke
Strong electronic correlations and low energy scales
in Open Problems in Strongly Correlated Electron Systems,
J. Bonca et al., eds., Kluwer Academic Publishers, Dordrecht (2001), 381.
2000
-
K. Held and R. Bulla
Mott-transition of the f-electron system in the periodic Anderson model with nearest neighbor hybridization
Eur. Phys. J. B 17, 7 (2000).
-
R. Bulla
The Numerical Renormalization Group Method for correlated electrons
Adv. Solid State Phys. 40, 169 (2000).
-
W. Hofstetter, R. Bulla, and D. Vollhardt
Anderson impurity in a correlated conduction band
Phys. Rev. Lett. 84, 4417 (2000).
-
Th. Pruschke, R. Bulla, and M. Jarrell
Low-energy scale of the periodic Anderson model
Phys. Rev. B 61, 12799 (2000) .
-
R. Bulla, M.T. Glossop, D.E. Logan, and Th. Pruschke
The soft-gap Anderson model: comparison of renormalization group and local moment approaches
J. Phys.: Condens. Matter 12, 4899 (2000).
-
Th. Pruschke, R. Bulla, and M. Jarrell
Exhaustion physics in heavy fermion systems: A T=0 NRG study
Physica B 281-282, 47 (2000).
-
R. Bulla and M. Potthoff
``Linearized'' Dynamical Mean-Field Theory for the Mott-Hubbard transition
Eur. Phys. J. B 13, 257 (2000).
1999
-
S.C. Bradley, R. Bulla, A.C. Hewson, and G.-M. Zhang
Spectral Densities of Response Functions for the O(3) Symmetric Anderson and Two Channel Kondo models
Eur. Phys. J. B 11, 535 (1999).
-
R. Bulla
Zero temperature metal-insulator transition in the infinite-dimensional Hubbard model
Phys. Rev. Lett. 83, 136 (1999).
-
R. Pietig, R. Bulla, and S. Blawid
Reentrant charge order transition in the extended Hubbard Model
Phys. Rev. Lett. 82, 4046 (1999).
-
R. Pietig, S. Blawid, and R. Bulla
Charge ordering in the extended Hubbard Model
Physica B: Condens. Matter 259-261, 769 (1999).
-
S.C. Bradley, R. Bulla, and A.C. Hewson
Spectral densities for response functions of a marginal fermi liquid model
Physica B: Condens. Matter 259-261, 362 (1999).
-
R. Bulla, Th. Pruschke, and A.C. Hewson
Metal-insulator transition in the Hubbard Model
Physica B: Condens. Matter 259-261, 721 (1999).
-
G.-M. Zhang, A.C. Hewson, and R. Bulla
Majorana Fermion formulation of the two channel Kondo model
Solid State Commun. 112, 105 (1999).
1998
-
R. Bulla, A.C. Hewson, and Th. Pruschke
Numerical renormalization group calculations for the self-energy of the impurity Anderson model
J. Phys.: Condens. Matter 10, 8365 (1998).
1997
-
R. Bulla, Th. Pruschke, and A.C. Hewson
Anderson impurity in pseudo-gap Fermi systems
J. Phys.: Condens. Matter 9, 10463 (1997).
-
R. Bulla, A.C. Hewson, and G.-M. Zhang
Low-energy fixed points of the sigma-tau and the O(3) symmetric Anderson models
Phys. Rev. B 56, 11721 (1997).
-
R. Bulla and A.C. Hewson
Numerical renormalization group study of the O(3)-symmetric Anderson model
Z. Phys. B 104, 333 (1997).
-
R. Bulla and A.C. Hewson
Numerical renormalization group study of the `compactified' Anderson model
Physica B 230-232, 627 (1997).
1995
-
T. Pruschke and R. Bulla
Correlated lattice models in the local approximation - Aspects of a numerical renormalization group treatment
J. Low Temp. Phys. 99, 611 (1995).
1994
-
R. Bulla, J. Keller, and Th. Pruschke
Functional Integral Approach to the U=infinity Single Impurity Anderson Model
Z. Phys. B 94, 195 (1994).
1990
-
J. Keller, R. Bulla, Th. Höhn, and K.W. Becker
Electron-phonon interaction in heavy fermion systems
Physica B 163, 667 (1990).
-
J. Keller, R. Bulla, Th. Höhn, and K.W. Becker
Electron-phonon interaction in heavy-fermion systems
Phys. Rev. B 41, 1878 (1990).