Zur Theorie der Metalle: I. Eigenwerte und Eigenfunktionen der linearen Atomkette

Bethe, H.·1931·Zeitschrift f�r Physik

Cited by (1,000)

Items 901–1,000 of 1,000

  1. Ground state representation of the infinite one-dimensional Heisenberg ferromagnet
    Donald G. Babbitt, Lawrence E. Thomas · 1977 · Communications in Mathematical Physics
  2. X=M for symmetric powers
    Anne Schilling, Mark Shimozono · 2005 · Journal of Algebra
  3. Solvable lattice models with broken symmetry and Hecke's indefinite modular forms
    Michio Jimbo, Tetsuji Miwa, Masato Okado · 1986 · Nuclear Physics B
  4. Third-neighbor correlators of a one-dimensional spin- 12 Heisenberg antiferromagnet
    Kazumitsu Sakai, Masahiro Shiroishi, Yoshihiro Nishiyama · 2003 · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
  5. Bethe ansatz and fluctuations in SU(3) Yang-Mills operators
    Lisa Freyhult · 2004 · Journal of High Energy Physics
  6. Integrable $\lambda$-deformations: Squashing Coset CFTs and $AdS_5\times S^5$
    Saskia Demulder, Konstantinos Sfetsos, Daniel C. Thompson · 2015 · arXiv (Cornell University)
  7. Orders of magnitude increased accuracy for quantum many-body problems on quantum computers via an exact transcorrelated method
    Igor O. Sokolov, Werner Dobrautz, Hongjun Luo, Ali Alavi, Ivano Tavernelli · 2023 · Physical Review Research
  8. Fabrication of spin-1/2 Heisenberg antiferromagnetic chains via combined on-surface synthesis and reduction for spinon detection
    Xuelei Su, Zhihao Ding, Hong Ye · 2025 · Nature Synthesis
  9. On-surface synthesis of Heisenberg spin-1/2 antiferromagnetic molecular chains
    Kewei Sun, Nan Cao, Orlando José Silveira, Adolfo O. Fumega, Fiona Hanindita, Shingo Ito, José Luis Lado, Peter Liljeroth, Adam Stuart Foster, Shigeki Kawai · 2025 · Science Advances
  10. Analytical Bethe ansatz for closed and opengl(Script N)-spin chains in any representation
    D Arnaudon, N Crampé, Anastasia Doikou · 2005 · Journal of Statistical Mechanics Theory and Experiment
  11. On single-file and less dense processes
    Ophir Flomenbom, Alessandro Taloni · 2008 · Europhysics Letters (EPL)
  12. Topological magnon bound states in periodically modulated Heisenberg XXZ chains
    Xizhou Qin, Feng Mei, Yongguan Ke, Li Zhang, Chaohong Lee · 2017 · Physical review. B./Physical review. B
  13. Digital quantum simulation of non-equilibrium quantum many-body systems
    Benedikt Fauseweh, Jian‐Xin Zhu · 2021 · Quantum Information Processing
  14. Algebraic Bethe Circuits
    Alejandro Sopena, Max Hunter Gordon, Diego García-Martín, Germán Sierra, Esperanza López · 2022 · Quantum
  15. Modified density matrix renormalization group algorithm for the zigzag spin- 12 chain with frustrated antiferromagnetic exchange: Comparison with field theory at large J2/J1
    Manoranjan Kumar, Z. G. Soos, Diptiman Sen, S. Ramasesha · 2010 · Physical Review B
  16. Magnetic order in coupled spin-half and spin-one Heisenberg chains in an anisotropic triangular-lattice geometry
    T. Pardini, Rajiv R. P. Singh · 2008 · Physical Review B
  17. Proof of the invariance of the Bethe-ansatz solutions under complex conjugation
    Alexey A. Vladimirov · 1986 · Theoretical and Mathematical Physics
  18. Quantum phase transitions and thermodynamics of quantum antiferromagnets with next-nearest-neighbor couplings
    Andrei A. Zvyagin, Andreas Klümper · 2003 · Physical review. B, Condensed matter
  19. New magnetic states in crystals
    Sergei S. Sosin, Lyudmila A. Prozorova, Aleksandr I Smirnov · 2005 · Physics-Uspekhi
  20. Ground state energy of a non-integer number of particles with δ attractive interactions
    Éric Brunet, Bernard Derrida · 2000 · Physica A Statistical Mechanics and its Applications
  21. Spin dynamics in the quasi-one-dimensional S=12 antiferromagnet BaCu2Si2O7
    A. Zheludev, M. Kenzelmann, S. Raymond · 2001 · Physical review. B, Condensed matter
  22. X-ray scattering study of the spin-Peierls transition and soft phonon behavior in TiOCl
    Eric Abel, K. Matan, F. C. Chou · 2007 · Physical Review B
  23. Quantum Galilei group as symmetry of magnons
    Francesco Bonechi, E. Celeghini, R. Giachetti · 1992 · Physical review. B, Condensed matter
  24. Path-integral approach to the one-dimensional large-UHubbard model
    Zheng-Yu Weng, D. N. Sheng, C. S. Ting · 1992 · Physical review. B, Condensed matter
  25. Correlation functions of the spin- 1/2 antiferromagnetic Heisenberg chain: Exact calculation via the generating function
    Jun Sato, Masahiro Shiroishi, Minoru Takahashi · 2005 · Nuclear Physics B
  26. Interacting fermions on a one-channel ring
    Fedor Vasilievich Kusmartsev · 1992 · Physics Letters A
  27. The Canonical Solutions of the Q -Systems¶ and the Kirillov-Reshetikhin Conjecture
    Atsuo Kuniba, Tomoki Nakanishi, Zengo Tsuboi · 2002 · Communications in Mathematical Physics
  28. Static thermodynamic properties of the linear half-filled-band Hubbard model
    W. A. Seitz, Daniel Klein · 1974 · Physical review. B, Solid state
  29. Linear Antiferromagnetic Chain
    Th.W. Ruijgrok, S. Rodríguez · 1960 · Physical Review
  30. Magnetic chains in solids
    H.-J. Mikeska · 1979 · Journal of Magnetism and Magnetic Materials
  31. The integrable SU(N) Heisenberg model at finite temperature
    Henrik Johannesson · 1986 · Physics Letters A
  32. Generalized coordinate Bethe ansatz for non-diagonal boundaries
    Nicolas Crampé, E. Ragoucy · 2012 · Nuclear Physics B
  33. Superfluid Fermi-Fermi mixture: Phase diagram, stability, and soliton formation
    Sadhan K. Adhikari · 2007 · Physical Review A
  34. Linear independence of nearest-neighbor valence-bond states on the kagome lattice and construction of S U ( 2 ) -invariant spin- 1 2 Hamiltonian with a Sutherland-Rokhsar-Kivelson quantum liquid ground state
    Alexander Seidel · 2009 · Physical Review B
  35. Preparing Bethe Ansatz Eigenstates on a Quantum Computer
    John S. Van Dyke, George S. Barron, Nicholas J. Mayhall, Edwin Barnes, Sophia E. Economou · 2021 · PRX Quantum
  36. Observation of Magnon Bound States in the Long-Range, Anisotropic Heisenberg Model
    Florian Kranzl, Stefan Birnkammer, Manoj K. Joshi, Alvise Bastianello, R. Blatt, Michael Knap, Christian F. Roos · 2023 · Physical Review X
  37. Thermodynamics of impurities in the anisotropic Heisenberg spin-1/2 chain
    Jesko Sirker, Satoshi Fujimoto, Nicolas Laflorencie · 2008 · Journal of Statistical Mechanics Theory and Experiment
  38. Exact four-spinon dynamical correlation function of the Heisenberg model
    Abdessamad Abada, A. Hamid Bougourzi, B. Si-Lakhal · 1997 · Nuclear Physics B
  39. One-dimensional asymmetric diffusion model without exclusion
    Tomohiro Sasamoto, Miki Wadati · 1998 · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
  40. Calculation of multi-fractal dimensions in spin chains
    Y. Y. Atas, E. Bogomolny · 2013 · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences
  41. Existence of a magnetization plateau in a class of exactly solvable Ising–Heisenberg chains
    Jozef Strečka, Michal Jascur · 2003 · Journal of Physics Condensed Matter
  42. Magnetic properties of the quasi-one-dimensional system BaMn2V 2O8
    Zhangzhen He, Yutaka Ueda, Mitsuru Itoh · 2006 · Solid State Communications
  43. The Synthesis and Static Magnetic Properties of First-Row Transition-Metal Compounds with Chain Structures
    William E. Hatfield, William E. Estes, Wayne E. Marsh · 1983 · Springer eBooks
  44. Construction of modular branching functions from Bethe's equations in the 3-state Potts chain
    Rinat Kedem, Barry M. McCoy · 1993 · Journal of Statistical Physics
  45. On the elementary Schrödinger bound states and their multiplets
    Miloslav Znojil, P. G. L. Leach · 1992 · Journal of Mathematical Physics
  46. Finite-temperature excitations and thermodynamics of the Δ>~1 Heisenberg-Ising ring
    James D. Johnson · 1974 · Physical Review A
  47. Bethe's hypothesis and Feynman diagrams: Exact calculation of a three-body scattering amplitude by perturbation theory
    H. B. Thacker · 1975 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
  48. Experimental Study of Spin Fluctuations in a One-Dimensional Antiferromagnet
    E. Ehrenfreund, E. F. Rybaczewski, A. F. Garito · 1973 · Physical review. B, Solid state
  49. Exact thermodynamics and Luttinger liquid properties of the integrable t-J model
    Guido Jüttner, Andreas Klümper, Junji Suzuki · 1997
  50. Dynamical symmetry restoration in the Heisenberg spin chain
    Colin Rylands, Eric Vernier, Pasquale Calabrese · 2024 · Journal of Statistical Mechanics Theory and Experiment
  51. Control of bound-pair transport by periodic driving
    Kazue Kudo, T. Boness, T. S. Monteiro · 2009 · Physical Review A
  52. Localized-magnon states in strongly frustrated quantum spin lattices
    Johannes Richter · 2005 · Low Temperature Physics
  53. Slavnov and Gaudin-Korepin Formulas for Models without U(1) Symmetry: the Twisted XXX Chain
    Universit&, S. Belliard, #233 · 2015 · Symmetry Integrability and Geometry Methods and Applications
  54. A class of states supporting diffusive spin dynamics in the isotropic Heisenberg model
    Marko Ljubotina, Marko Žnidarič, Tomaž Prosen · 2017 · Journal of Physics A Mathematical and Theoretical
  55. 13 Calculation of multifractal dimensions in spin chains
    E. Bogomolny, Y. Y. Atas, E. Bogomolny · 2014
  56. Flag manifold sigma models
    Ian K. Affleck, Dmitri Bykov, Kyle Wamer · 2022 · Physics Reports
  57. On determinant representations of scalar products and form factors in the SoV approach: the XXX case
    N Kitanine, J M Maillet, G Niccoli · 2016 · Journal of Physics A Mathematical and Theoretical
  58. Evaluation of Dynamic Spin Structure Factor for the Spin-1/2 XXZ Chain in a Magnetic Field
    Jun Sato, Masahiro Shiroishi, Minoru Takahashi · 2004 · Journal of the Physical Society of Japan
  59. Bethe ansatz and inverse scattering transform in a periodic box–ball system
    Atsuo Kuniba, Таичиро Такаги, A. Takenouchi · 2006 · Nuclear Physics B
  60. Excitation spectrum of bosons in a finite one-dimensional circular waveguide via the Bethe ansatz
    Andrew G. Sykes, P. D. Drummond, Matthew J. Davis · 2007 · Physical Review A
  61. Evolution from few- to many-body physics in one-dimensional Fermi systems: One- and two-body density matrices and particle-partition entanglement
    Lukas Rammelmüller, William J. Porter, Jens Braun, Joaquín E. Drut · 2017 · Physical Review A
  62. High-frequency electron spin resonance in magnetic systems
    K. Katsumata · 2000 · Journal of Physics Condensed Matter
  63. On the finite size corrections of anti-ferromagnetic anomalous dimensions in Script N = 4 SYM
    Giovanni Feverati, Davide Fioravanti, Paolo Grinza · 2006 · Journal of High Energy Physics
  64. Exact solution of the open XXZ chain with general integrable boundary terms at roots of unity
    Murgan, R, Nepomechie, R I, Shi, C · 2006 · CERN Document Server (European Organization for Nuclear Research)
  65. Conformal anomaly and critical exponents of the spin-1 Takhtajan-Babujian model
    Francisco Castilho Alcaraz, Marcio Jose Martins · 1988 · Journal of Physics A Mathematical and General
  66. Single-particle Green’s functions of the Calogero-Sutherland model at couplings λ=1/2, 1, and 2
    Martin R. Zirnbauer, F. D. M. Haldane · 1995 · Physical review. B, Condensed matter
  67. The circular, elliptic three-spin string from the SU(3) spin chain
    Charlotte Kristjansen, Teresia Månsson · 2004 · Physics Letters B
  68. A study of the bilinear-biquadratic spin-1 antiferromagnetic chain using the valence-bond basis
    K Chang, Ian K. Affleck, Geoffrey W. Hayden · 1989 · Journal of Physics Condensed Matter
  69. Nonlinear dynamics of a quantum ferromagnetic chain: Spin-coherent-state approach
    Radha Balakrishnan, A. R. Bishop · 1989 · Physical review. B, Condensed matter
  70. Exactly soluble models
    Élliott H. Lieb · 1974 · Physica
  71. New trends in quantum integrability: recent experiments with ultracold atoms
    Xi-Wen Guan, Peng He · 2022 · Reports on Progress in Physics
  72. Fractional energy states of strongly interacting bosons in one dimension
    Nikolaj Thomas Zinner, Artem G. Volosniev, D. V. Fedorov · 2014 · Europhysics Letters (EPL)
  73. Bound states and expansion dynamics of interacting bosons on a one-dimensional lattice
    C. Degli Esposti Boschi, Elisa Ercolessi, L. Ferrari · 2014 · Physical Review A
  74. Nested off-diagonal Bethe ansatz and exact solutions of the su(n) spin chain with generic integrable boundaries
    Junpeng Cao, Wen-Li Yang, Kangjie Shi · 2014 · Journal of High Energy Physics
  75. <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>Matrix from Matrix Product States
    Vanderstraeten, Laurens, Haegeman, Jutho, Osborne, Tobias J., Verstraete, Frank · 2014 · Physical Review Letters
  76. Continuous N\'{e}el-VBS quantum phase transition in non-local one-dimensional systems with SO(3) symmetry
    Chao-Ming Jian, Yichen Xu, Xiao-Chuan Wu · 2021 · SciPost Physics
  77. Dynamical Signatures of Quasiparticle Interactions in Quantum Spin Chains
    Anna Keselman, Leon Balents, Oleg A. Starykh · 2020 · Physical Review Letters
  78. Reduced density matrices of Richardson–Gaudin states in the Gaudin algebra basis
    Charles‐Émile Fecteau, Hubert Fortin, Samuel Cloutier · 2020 · The Journal of Chemical Physics
  79. Stationary State After a Quench to the Lieb-Liniger from Rotating BECs
    Bucciantini, L. · 2016 · Max Planck Digital Library
  80. Long range Néel order in the quasi-one-dimensional vanadium-based (S=1) pyroxenes (Li,Na)V(Si,Ge)2O6
    Alexander N. Vasiliev, O. L. Ignatchik, Masahiko Isobe · 2004 · Physical Review B
  81. Two-particle fluctuations in one-dimensional generalized Landau liquids
    J. M. P. Carmelo, Peter Horsch, Alexander A. Ovchinnikov · 1992 · Physical review. B, Condensed matter
  82. Electronic and magnetic properties of K2CuP2O7 : A model S=12 Heisenberg chain system
    R. Nath, Deepa Kasinathan, Helge Rosner · 2008 · Physical Review B
  83. Mutual-exclusion statistics in exactly solvable models in one and higher dimensions at low temperatures
    Yasuhiro Hatsugai, Mahito Kohmoto, Tohru Koma · 1996 · Physical review. B, Condensed matter
  84. Finite-lattice extrapolations for the ground-state energies of antiferromagnetic Heisenberg rings
    Hiroshi Betsuyaku · 1986 · Physical review. B, Condensed matter
  85. The Many Faces of a Character
    Melzer, E · 1994 · CERN Document Server (European Organization for Nuclear Research)
  86. One‐Dimensional Magnetism: An Overview of the Models
    Roland Georges, J.J. Borrás-Almenar, Eugenio Coronado · 2001
  87. Nonequilibrium dynamics in low-dimensional systems
    M. R. Evans, R. A. Blythe · 2013
  88. Exact approaches on the string worldsheet
    Saskia Demulder, Sibylle Driezen, Bob Knighton, Gerben Oling, Ana L. Retore, Fiona K. Seibold, Alessandro Sfondrini, Ziqi Yan · 2024 · Journal of Physics A Mathematical and Theoretical
  89. Bound states in the one-dimensional two-particle Hubbard model with an impurity
    J. M. Zhang, Daniel Braak, Marcus Kollar · 2013 · Physical Review A
  90. One-loop corrections to type IIA string theory in AdS 4 × CP 3
    Miguel A. Bandres, Arthur Lipstein · 2010 · Journal of High Energy Physics
  91. Derivation of the matrix product ansatz for the Heisenberg chain from the algebraic Bethe ansatz
    Hosho Katsura, Isao Maruyama · 2010 · Journal of Physics A Mathematical and Theoretical
  92. An introduction to the spectrum, symmetries, and dynamics of spin-1/2 Heisenberg chains
    Kira Joel, Davida Kollmar, Lea F. Santos · 2013 · American Journal of Physics
  93. On-Surface Synthesis of Spin Crossover Polymeric Chains
    Adam Hassan Denawi, Mathieu Koudia, R. Hayn · 2018 · The Journal of Physical Chemistry C
  94. Generalized hydrodynamic approach to charge and energy currents in the one-dimensional Hubbard model
    Yuji Nozawa, Hirokazu Tsunetsugu · 2020 · Physical review. B./Physical review. B
  95. Solvable three-boson model with attractive δ -function interactions
    Juan Gonzalo Muga, Robert F. Snider · 1998 · Physical Review A
  96. Ab initiocalculation of d - d excitations in quasi-one-dimensional Cu d9 correlated materials
    H. Y. Huang, Nikolay A. Bogdanov, L. Siurakshina · 2011 · Physical Review B
  97. Review of AdS/CFT Integrability, Chapter III.1: Bethe Ansätze and the R-Matrix Formalism
    Matthias Staudacher · 2011 · Letters in Mathematical Physics
  98. Universal R-matrix and functional relations
    H. Boos, Frank Göhmann, Andreas Klümper · 2014 · Reviews in Mathematical Physics
  99. Decay of currents for strong interactions
    Robin Steinigeweg · 2011 · Physical Review E
  100. Diagonalization of the transfer matrix of a nonintersecting string model
    Jacques H. H. Perk, Cherie L. Schultz · 1983 · Physica A Statistical Mechanics and its Applications