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Publications of Holger Frahm

Complete List of Publications

Monograph

Fabian H.L. Essler, Holger Frahm, Frank Göhmann, Andreas Klümper, and Vladimir E. Korepin (2005): The One-Dimensional Hubbard Model, Cambridge University Press
Contents
DOI: 10.1017/CBO9780511534843


Preprint

Daniel Borcherding and Holger Frahm (2017): Signatures of non-Abelian anyons in the thermodynamics of an interacting fermion model
arXiv: 1706.09822

Peter E. Finch, Michael Flohr, and Holger Frahm (2017): \(\mathbf{Z}_{n}\) clock models and chains of \(so(n)_2\) non-Abelian anyons: symmetries, integrable points and low energy properties
arXiv: 1710.09620

Paper

Holger Frahm and Konstantin Hobuß (2017): Spectral flow for an integrable staggered superspin chain, J. Phys. A: Math. Theor. 50 294002
DOI: 10.1088/1751-8121/aa77e7
arXiv: 1703.08054

Natalia Braylovskaya, Peter E. Finch, and Holger Frahm (2016): Exact solution of the \(D_3\) non-Abelian anyon chain, Phys. Rev. B 94 085138
DOI: 10.1103/PhysRevB.94.085138
arXiv: 1606.00793

Holger Frahm and Nikos Karaiskos (2015): Non-Abelian \(SU(3)_k\) anyons: inversion identities for higher rank face models, J. Phys. A: Math. Theor. 48 484001
DOI: 10.1088/1751-8113/48/48/484001
arXiv: 1506.00822

Holger Frahm and Márcio J. Martins:
Finite-size effects in the spectrum of the \(OSp(3|2)\) superspin chain
Nucl. Phys. B 894 (2015) 665-684 [arXiv:1502.05305]

Peter E. Finch, Michael Flohr, and Holger Frahm:
Integrable anyon chains: from fusion rules to face models to effective field theories
Nucl. Phys. B 889 (2014) 299-332 [arXiv:1408.1282]

Holger Frahm and Nikos Karaiskos:
Inversion identities for inhomogeneous face models
Nucl. Phys. B 887 (2014) 423-440 [arXiv:1407.6883]

Peter E. Finch, Holger Frahm, Marius Lewerenz, Ashley Milsted, and Tobias J. Osborne:
Quantum phases of a chain of strongly interacting anyons
Phys. Rev. B 90 (2014) 081111(R) [arXiv:1404.2439]

Holger Frahm and Alexander Seel:
The staggered six-vertex model: conformal invariance and corrections to scaling
Nucl. Phys. B 879 [FS] (2014) 382-406 [arXiv:1311.6911]

Nikos Karaiskos, André M. Grabinski, and Holger Frahm:
Bethe Ansatz solution of the small polaron with nondiagonal boundary terms
J. Stat. Mech. (2013) P07009 [arXiv:1304.2659]

Peter E. Finch and Holger Frahm:
The \(D(D_3)\)-anyon chain: integrable boundary conditions and excitation spectra
New J. Phys. 15 (2013) 053035 [arXiv:1211.4449]

André M. Grabinski and Holger Frahm:
Truncation identities for the small polaron fusion hierarchy
New J. Phys. 15 (2013) 043026 [arXiv:1211.6328]

A. C. Tiegel, P. E. Dargel, K. A. Hallberg, H. Frahm, and T. Pruschke:
Spin-spin correlations between two Kondo impurities coupled to an open Hubbard chain
Phys. Rev. B 87 (2013) 075122 [arXiv:1212.3963]

Holger Frahm and Márcio J. Martins:
Phase Diagram of an Integrable Alternating \(U_q[sl(2|1)]\) Superspin Chain
Nucl. Phys. B 862 [FS] (2012) 504-552 [arXiv:1202.4676]

Peter E. Finch and Holger Frahm:
Collective states of interacting \(D(D_3)\) non-Abelian anyons
J. Stat. Mech. (2012) L05001 [arXiv:1108.3228]

Holger Frahm and Márcio J. Martins:
Finite size properties of staggered \(U_q[sl(2|1)]\) superspin chains
Nucl. Phys. B 847 [FS] (2011) 220-246 [arXiv:1012.1753]

Peter E. Finch, Holger Frahm, and Jon Links:
Ground-state phase diagram for a system of interacting, \(D(D_3)\) non-Abelian anyons
Nucl. Phys. B 844 [FS] (2011) 129-145 [arXiv:1007.1550]

Holger Frahm, Jan H. Grelik, Alexander Seel, and Tobias Wirth:
Functional Bethe ansatz methods for the open XXX chain
J. Phys. A: Math. Theor. 44 (2011) 015001 [arXiv:1009.1081]

Luigi Amico, Holger Frahm, Andreas Osterloh, and Tobias Wirth:
Separation of variables for integrable spin-boson models
Nucl. Phys. B 839 [FS] (2010) 604-626 [arXiv:1005.5681]

André M. Grabinski and Holger Frahm:
Non-diagonal boundary conditions for \(gl(1|1)\) super spin chains
J. Phys. A: Math. Theor. 43 (2010) 045207 [arXiv:0910.4029]

Sönke Niekamp, Tobias Wirth and Holger Frahm:
The XXZ model with anti-periodic twisted boundary conditions
J. Phys. A: Math. Theor. 42 (2009) 195008 [arXiv:0902.1079]

Holger Frahm, Alexander Seel and Tobias Wirth:
Separation of variables in the open XXX chain
Nucl. Phys. B 802 [FS] (2008) 351-367 [arXiv:0803.1776]

Holger Frahm and Temo Vekua:
The Mott metal-insulator transition in the 1D Hubbard model in an external magnetic field
J. Stat. Mech. (2008) P01007 [arXiv:0710.4498]

F. Schulze-Wischeler, U. Zeitler, C. v. Zobeltitz, F. Hohls, D. Reuter, A. D. Wieck, H. Frahm and R. J. Haug:
Measurement of the specific heat of a fractional quantum Hall system
Phys. Rev. B76 (2007) 153311 [cond-mat/0607167]

Luigi Amico, Holger Frahm, Andreas Osterloh and Giuliano A. P. Ribeiro:
Integrable spin-boson models descending from rational six-vertex models
Nucl. Phys. B 787 (2007) 283-300 [cond-mat/0703630]

Holger Frahm and Guillaume Palacios:
Interplay between a quantum impurity and a boundary field in the SUSY t-J model
J. Stat. Mech. (2007) P05006 [cond-mat/0703339]

Holger Frahm, Carsten von Zobeltitz, Niels Maire and Rolf J. Haug:
Fermi edge singularities in transport through quantum dots
Phys. Rev. B74 (2006) 035329 [cond-mat/0603668]

Holger Frahm and Guillaume Palacios:
Anderson-like impurity in the one-dimensional t-J model: formation of local states and magnetic behaviour
Phys. Rev. B73 (2006) 214419 [cond-mat/0603198]

Holger Frahm and Guillaume Palacios:
Correlation functions of one-dimensional Bose-Fermi mixtures
Phys. Rev. A72 (2005) 061604(R) [cond-mat/0507368]

Frank Göhmann, Michael Bortz and Holger Frahm:
Surface free energy for systems with integrable boundary conditions
J. Phys. A: Math. Gen. 38 (2005) 10879-10891 [cond-mat/0508377]

Fabian H. L. Essler, Holger Frahm and Hubert Saleur:
Continuum limit of the integrable \(sl(2|1)\) \(3\times{\bar{3}}\) superspin chain
Nucl. Phys. B 712 [FS] (2005) 513-572 [cond-mat/0501197]

Holger Frahm and Martin Stahlsmeier:
Electronic ladders with \(SO(5)\) symmetry: phase diagrams and correlations at half-filling
Phys. Rev. B63 (2001) 125109 [cond-mat/0009443]

I. Hapke-Wurst, U. Zeitler, H. Frahm, A. G. M. Jansen, R. J. Haug and K. Pierz:
Magnetic-field-induced singularities in spin dependent tunneling through InAs quantum dots
Phys. Rev. B62 (2000) 12621-12624 [cond-mat/0003400]

Holger Frahm and Nikita A. Slavnov:
Magnetic properties of doped Heisenberg chains
Nucl. Phys. B 575 [FS] (2000) 485-503 [cond-mat/9912319]

Holger Frahm and Constantin Sobiella:
Doping-induced magnetization plateaus
Phys. Rev. Lett. 83 (1999) 5579-5582 [cond-mat/9907258]

Holger Frahm and Anjan Kundu:
Phase diagram of an exactly solvable t-J ladder model
J. Phys.: Condens. Matter 11 (1999) L557-L562 [cond-mat/9910104]

Holger Frahm:
Doped Heisenberg chains: Spin-S generalizations of the supersymmetric t-J model
Nucl. Phys. B 559 [FS] (1999) 613-636 [cond-mat/9904157]

Fabian H. L. Eßler and Holger Frahm:
Density correlations in the half-filled Hubbard model
Phys. Rev. B60 (1999) 8540-8542 [cond-mat/9903008]

Gerald Bedürftig and Holger Frahm:
Tunneling singularities in the open Hubbard chain
Physica E4 (1999) 246-255 [cond-mat/9905275]

Holger Frahm and Claus Rödenbeck:
A generalized spin ladder in a magnetic field
Eur. Phys. J. B10 (1999) 409-414 [cond-mat/9812103]

Gerald Bedürftig and Holger Frahm:
Open t-J chain with boundary impurities
J. Phys. A: Math. Gen. 32 (1999) 4585-4591 [cond-mat/9903202]

Holger Frahm and Nikita A. Slavnov:
New solutions to the reflection equation and the projecting method
J. Phys. A: Math. Gen. 32 (1999) 1547-1555 [cond-mat/9810312]

Holger Frahm and Martin Stahlsmeier:
Spinon statistics in integrable spin-S Heisenberg chains
Phys. Lett. A250 (1998) 293-299 [cond-mat/9803381]

Holger Frahm and Sergey I. Matveenko:
Correlation functions in the Calogero-Sutherland model with open boundaries
Eur. Phys. J. B5 (1998) 671-675 [cond-mat/9802289]

Gerald Bedürftig, Berthold Brendel, Holger Frahm and Reinhard M. Noack:
Friedel oscillations in the open Hubbard chain
Phys. Rev. B58 (1998) 10225-10235 [cond-mat/9805123]

Holger Frahm and Sascha Ledowski:
Boundary states and edge singularities in the degenerate Hubbard chain
J. Phys.: Condens. Matter 10 (1998) 8829-8841

Holger Frahm, Markus P. Pfannmüller and Alexei M. Tsvelik:
Doping of a spin-1 chain: an integrable model
Phys. Rev. Lett. 81 (1998) 2116-2119 [cond-mat/9803145]

Holger Frahm and Andrei A. Zvyagin:
The open spin chain with impurity: an exact solution
J. Phys.: Condens. Matter 9 (1997) 9939-9946

Fabian H. L. Eßler and Holger Frahm:
X-ray edge singularity in integrable lattice models of correlated electrons
Phys. Rev. B56 (1997) 6631-6641 [cond-mat/9702234]

Holger Frahm and John Schliemann:
Variational states for the spin-Peierls system
Phys. Rev. B56 (1997) 5359-5365 [cond-mat/9701200]

Markus P. Pfannmüller and Holger Frahm:
A New Algebraic Bethe Ansatz for \(gl(2,1)\) Invariant Vertex Models
J. Phys. A: Math. Gen. 30 (1997) L543-L548

Holger Frahm and Claus Rödenbeck:
Properties of the chiral spin liquid state in generalized spin ladders
J. Phys. A: Math. Gen. 30 (1997) 4467-4479 [cond-mat/9702083]

Gerald Bedürftig and Holger Frahm:
Spectrum of boundary states in the open Hubbard chain
J. Phys. A: Math. Gen. 30 (1997) 4139-4149 [cond-mat/9702227]

Gerald Bedürftig, Fabian H. L. Eßler and Holger Frahm:
Exact solution of a t-J chain with impurity
Nucl. Phys. B 489 [FS] (1997) 697-736 [cond-mat/9610222]

Holger Frahm and Andrei A. Zvyagin:
Nonlinear boundary oscillations in strongly correlated electron quantum wires
Phys. Rev. B55 (1997) 1341-1344

Fabian H. L. Eßler, Holger Frahm, Alexander R. Its and Vladimir E. Korepin:
Determinant representation for quantum correlation function of the lattice sine-Gordon model
J. Phys. A: Math. Gen. 30 (1997) 219-244 [hep-th/9512090]

Gerald Bedürftig, Fabian H. L. Eßler and Holger Frahm:
Integrable impurity in the supersymmetric t-J model
Phys. Rev. Lett. 77 (1996) 5098-5101 [cond-mat/9609262]; ibid. 78 (1997) 1397(E)

Markus P. Pfannmüller and Holger Frahm:
Algebraic Bethe Ansatz for \(gl(2,1)\) invariant 36-vertex models
Nucl. Phys. B 479 [FS] (1996) 575-593 [cond-mat/9604082]

F. H. L. Eßler, H. Frahm, A. R. Its and V. E. Korepin:
Painlevé transcendent describes quantum correlation function of the XXZ antiferromagnet away from the free-fermion point
J. Phys. A: Math. Gen. 29 (1996) 5619-5626 [solv-int/9604005]

Holger Frahm and Claus Rödenbeck:
Integrable models of coupled Heisenberg chains
Europhys. Lett. 33 (1996) 47-52 [cond-mat/9502090]

Holger Frahm and Markus P. Pfannmüller:
On the Hubbard model in the limit of vanishing interaction
Phys. Lett. A 204 (1995) 347-352 [cond-mat/9505146]

Gerald Bedürftig and Holger Frahm:
Thermodynamics of an integrable model for electrons with correlated hopping
J. Phys. A: Math. Gen. 28 (1995) 4453-4468 [cond-mat/9504103]

Fabian H. L. Eßler, Holger Frahm, Alexander R. Its and Vladimir E. Korepin:
Integro-Difference Equation for a correlation function of the spin-½ Heisenberg XXZ chain
Nucl. Phys. B 446 [FS] (1995) 448-460 [cond-mat/9503142]

Gerald Bedürftig and Holger Frahm:
Comment on "Model of Fermions with Correlated Hopping (Integrable Cases)"
Phys. Rev. Lett. 74 (1995) 5284(C)

Fabian H. L. Eßler, Holger Frahm, Anatoli G. Izergin and Vladimir E. Korepin:
Determinant representation for correlation functions of spin-½ XXX and XXZ Heisenberg chains
Comm. Math. Phys. 174 (1995) 191-214 [hep-th/9406133]

Holger Frahm and Vladimir I. Inozemtsev:
New family of solvable 1D Heisenberg models
J. Phys. A: Math. Gen. 27 (1994) L801-L807 [cond-mat/9405038]

Holger Frahm, Alexander R. Its and Vladimir E. Korepin:
Differential equation for a correlation function of the spin-½ Heisenberg chain
Nucl. Phys. B 428 [FS] (1994) 694-710 [cond-mat/9404091]

Holger Frahm:
Spectrum of a spin chain with inverse square exchange
J. Phys. A: Math. Gen. 26 (1993) L473-L479 [cond-mat/9303050]

Holger Frahm and Andreas Schadschneider:
Critical exponents of the degenerate Hubbard model
J. Phys. A: Math. Gen. 26 (1993) 1463-1480 [cond-mat/9207026]

Holger Frahm:
Integrable spin-½ XXZ Heisenberg chain with competing interactions
J. Phys. A: Math. Gen. 25 (1992) 1417-1427

Holger Frahm and H. B. Thacker:
Corner transfer matrix eigenstates for the six-vertex model
J. Phys. A: Math. Gen. 24 (1991) 5587-5603

Holger Frahm, Salman Ullah and Alan T. Dorsey:
Flux dynamics and growth of the superconducting phase
Phys. Rev. Lett. 66 (1991) 3067-3070

Holger Frahm and V. E. Korepin:
Correlation functions of the one-dimensional Hubbard model in a magnetic field
Phys. Rev. B43 (1991) 5653-5662
reprinted in «Exactly Solvable Models Of Strongly Correlated Electrons», eds. Vladimir E. Korepin and Fabian H. L. Eßler, (World Scientific, Singapore, 1994), pp. 259-268 [Abstract]

Holger Frahm and V.E. Korepin:
Critical exponents for the one-dimensional Hubbard model
Phys. Rev. B42 (1990) 10553-10565

Holger Frahm and Nai-Chang Yu:
Finite size effects in the integrable XXZ Heisenberg model with arbitrary spin
J. Phys. A: Math. Gen. 23 (1990) 2115-2132

Holger Frahm, Nai-Chang Yu and Michael Fowler:
The integrable XXZ Heisenberg model with arbitrary spin: Construction of the Hamiltonian, the ground-state configuration and conformal properties
Nucl. Phys. B336 (1990) 396-434

Michael Fowler and Holger Frahm:
Quantization conditions for the periodic Toda chain: Inadequacy of Bethe ansatz methods
Phys. Rev. B39 (1989) 11800-11809

H. Frahm and J. A. Hołyst:
On spin squeezed states and their application to semiclassical kink dynamics in magnetic chains
J. Phys.: Condens. Matter 1 (1989) 3083-3094

H. Frahm and H. J. Mikeska:
Quantum suppression of irregularity in the spectral properties of the kicked rotator
Phys. Rev. Lett. 60 (1988) 3-6; ibid. 61 (1988) 378(C)

H. Hasegawa, H. J. Mikeska and H. Frahm:
Stochastic formulation of energy level statistics
Phys. Rev. A38 (1988) 395-399

H. J. Mikeska and H. Frahm:
The soliton contribution to the specific heat of CsNiF3: quantum effects and out-of-plane fluctuations
J. Phys. C: Solid State Phys. 19 (1986) 3203-3209

H. Frahm and H. J. Mikeska:
Levelstatistics and stochasticity in a driven quantum system
Z. Phys. B65 (1986) 249-253

H. Frahm and H. J. Mikeska:
On the dynamics of a quantum system which is classically chaotic
Z. Phys. B60 (1985) 117-126

Conference Proceedings

Peter E. Finch and Holger Frahm:
Collective states of \(D(D_3)\) non-Abelian anyons
in: «Low Dimensional Physics and Gauge Principles», V. G. Gurzadyan, A. Klümper, and A. G. Sedrakyan (Eds.), World Scientific, Singapore (2013) pp. 134-145 [Abstract]

Holger Frahm, Jan H. Grelik, and Alexander Seel:
Persistent currents in open spin chains
(Talk at the Workshop Classical and Quantum Integrable Systems CQIS-2011, Protvino, January 2011)
Theor. Math. Phys. 171 (2012) 715-724
[Russian version: Teoret. Mat. Fiz. 171 (2012) 340-352]

Holger Frahm and Guillaume Palacios:
Integrable Anderson-like impurity in the supersymmetric t-J model
(Talk at the Workshop Classical and Quantum Integrable Systems CQIS-2006, Protvino, January 2006)
Theor. Math. Phys. 150 (2007) 288-300
[Russian version: Teoret. Mat. Fiz. 150 (2007) 338-352]

Holger Frahm, Fabian H. L. Essler and Hubert Saleur:
The integrable \(sl(2|1)\) superspin chain and the spin quantum Hall effect
Adv. Solid State Phys. 45 (2006) 185-196

U. Zeitler, I. Hapke-Wurst, D. Sarkar, R. J. Haug, H. Frahm, K. Pierz, and A.G.M. Jansen:
High magnetic fields in semiconductor nanostructures: spin effects in single InAs quantum dots
Adv. Solid State Phys. 42 (2002) 3-12

J. M. Meyer, I. Hapke-Wurst, U. Zeitler, H. Frahm, A.G.M. Jansen, R. J. Haug, and K. Pierz:
Spin effects in InAs quantum dots: Tunneling in tilted magnetic fields
Proceedings of the 25th International Conference on the Physics of Semiconductors, Part 1, Springer Verlag, Berlin (2001) pp. 845-846

I. Hapke-Wurst, U. Zeitler, R. J. Haug, H. Frahm, A.G.M. Jansen and K. Pierz:
Singularities in tunneling through InAs dots in high magnetic fields
Physica B: Condensed Matter 298 (2001) 272-276

I. Hapke-Wurst, U. Zeitler, H. Frahm, A.G.M. Jansen, R. J. Haug and K. Pierz:
Singularities in magneto-tunneling through InAs quantum dots
physica status solidi (b) 224 (2001) 689-692

Holger Frahm and Markus P. Pfannmüller:
Generalizations of the supersymmetric t-J model
Talk given at the 2nd International Workshop POMI-Florence on «Quantum Groups and Integrable Systems», St. Petersburg, May 1997
Zap. Nauch. Semin. POMI 251 (1998) 94-104
[J. Math. Sci. 104 (2001) 1144-1150]

Holger Frahm:
Lösbare Modelle und konforme Invarianz: Kritische Eigenschaften korrelierter Elektronen in einer Dimension
Jahrbuch der Akademie der Wissenschaften in Göttingen (1997) 52-63

Holger Frahm, Alexander R. Its and Vladimir E. Korepin:
An operator-valued Riemann-Hilbert problem associated with the XXX model
in: «Symmetries and Integrability of Difference Equations», Decio Levi, Luc Vinet, and Pavel Winternitz (Eds.), CRM Proceedings and Lecture Notes 9 (1996) 133-142

Holger Frahm and Andreas Schadschneider:
On the Bethe Ansatz soluble degenerate Hubbard model
in: «The Hubbard Model: Its Physics and Mathematical Physics», D. Baeriswyl, D. K. Campbell, J. M. P. Carmelo, F. Guinea and E. Louis (Eds.), Plenum Press (1995), pp. 21-28

Holger Frahm and V. E. Korepin:
Critical exponents in the one-dimensional Hubbard model
Int. J. Mod. Phys. B8 (1994) 403-415; see also in: «Quantum Field Theory and Condensed Matter Physics», S. Randjbar-Daemi and Yu Lu (Eds.), World Scientific (1994) pp. 57-69

Holger Frahm:
On the construction of integrable XXZ Heisenberg models with arbitrary spin
Proceedings of an AMS-IMS-SIAM Summer Institute on Inverse Scattering and Applications, Amherst (MA), June 1990
Contemp. Math. 122 (1991) 41-45

H. J. Mikeska and H. Frahm:
Towards a quantitative theory of solitons in one-dimensional magnets: Quantum effects, out-of-plane fluctuations and the specific heat
in: «Nonlinearity in Condensed Matter», A. R. Bishop, D. K. Campbell, P. Kumar and S. E. Trullinger (Eds.), Springer Verlag, Berlin (1987) pp. 53-58 [Abstract]

H. J. Mikeska and H. Frahm:
The Kicked Quantum Spin: A Model System for Quantum Chaos
in: «Magnetic Excitations and Fluctuations II», U. Balucani, S. W. Lovesey, M. G. Rasetti, and V. Tognetti (Eds.), Springer Proceedings in Physics 23 (1987) 75-78

H. J. Mikeska and H. Frahm:
Chaos in a driven quantum spin system
in: «Chaos, Noise and Fractals», E. R. Pike and L. A. Lugiato (Eds.), Adam Hilger, Bristol (1987) pp. 117-136

H. Frahm and H. J. Mikeska:
Classical stochasticity and quantum uncertainty in a simple quantum spin model
J. Magn. Magn. Mat. 54-57 (1986) 1203-1204