Topic · Quantum many-body systems
Most cited papers in Quantum many-body systems
What are the most cited papers in Quantum many-body systems?
The most cited paper in Quantum many-body systems is "Ordering, metastability and phase transitions in two-dimensional systems" (J. Michael Kosterlitz, D. J. Thouless, 1973), with 9,586 citations. Next come "Density matrix formulation for quantum renormalization groups" (7,923) and "Quantum supremacy using a programmable superconducting processor" (7,216).
Showing 50 of 100 papers. Every paper with more than 1,299 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | Ordering, metastability and phase transitions in two-dimensional systems J. Michael Kosterlitz, D. J. Thouless · Journal of Physics C Solid State Physics | 12 Apr 1973 | 9,586 |
| 2 | Density matrix formulation for quantum renormalization groups Steven R. White · Physical Review Letters | 9 Nov 1992 | 7,923 |
| 3 | Quantum supremacy using a programmable superconducting processor Frank Arute et al. · Nature | 23 Oct 2019 | 7,216 |
| 4 | Non-Abelian anyons and topological quantum computation Chetan Nayak, Steven H. Simon, Ady Stern et al. · Reviews of Modern Physics | 12 Sep 2008 | 7,056 |
| 5 | Anyons in an exactly solved model and beyond Alexei Kitaev · Annals of Physics | 2006 | 5,422 |
| 6 | Topological semimetal and Fermi-arc surface states in the electronic structure of pyrochlore iridates Xiangang Wan, Ari M. Turner, Ashvin Vishwanath et al. · Physical Review B | 2 May 2011 | 4,803 |
| 7 | Weyl and Dirac semimetals in three-dimensional solids N. P. Armitage, E. J. Melé, Ashvin Vishwanath · Reviews of Modern Physics | 22 Jan 2018 | 4,673 |
| 8 | The renormalization group: Critical phenomena and the Kondo problem Kenneth G. Wilson · Reviews of Modern Physics | Oct 1975 | 4,558 |
| 9 | The density-matrix renormalization group in the age of matrix product states Ulrich Schollwöck · Annals of Physics | 2 Oct 2010 | 4,199 |
| 10 | Completely positive dynamical semigroups of N -level systems Vittorio Gorini, Andrzej Kossakowski, E. C. G. Sudarshan · Journal of Mathematical Physics | May 1976 | 4,075 |
| 11 | Observation of a large-gap topological-insulator class with a single Dirac cone on the surface Y. Xia, Dong Qian, David Arthur Hsieh et al. · Nature Physics | 10 May 2009 | 3,809 |
| 12 | The Potts model Fa Yueh Wu · Reviews of Modern Physics | 1982 | 3,604 |
| 13 | Classification of topological insulators and superconductors in three spatial dimensions Andreas P. Schnyder, Shinsei Ryu, Akira Furusaki et al. · Physical Review B | 26 Nov 2008 | 3,401 |
| 14 | Thermalization and its mechanism for generic isolated quantum systems Marcos Rigol, Vanja Dunjko, Maxim Olshanii · Nature | 16 Apr 2008 | 3,168 |
| 15 | Quantum simulation Iulia Georgescu, Sahel Ashhab, Franco Nori · Reviews of Modern Physics | 10 Mar 2014 | 2,979 |
| 16 | Classification of topological quantum matter with symmetries Ching‐Kai Chiu, Jeffrey C. Y. Teo, Andreas P. Schnyder et al. · Reviews of Modern Physics | 31 Aug 2016 | 2,963 |
| 17 | Quantum statistical mechanics in a closed system Joshua M. Deutsch · Physical Review A | Feb 1991 | 2,959 |
| 18 | Colloquium : Area laws for the entanglement entropy Jens Eisert, M. Cramer, Martin Bodo Plenio · Reviews of Modern Physics | 4 Feb 2010 | 2,932 |
| 19 | The critical properties of the two-dimensional xy model J. Michael Kosterlitz · Journal of Physics C Solid State Physics | 21 Mar 1974 | 2,904 |
| 20 | Nonuniversal critical dynamics in Monte Carlo simulations Robert H. Swendsen, Jian‐Sheng Wang · Physical Review Letters | 12 Jan 1987 | 2,886 |
| 21 | Colloquium: Nonequilibrium dynamics of closed interacting quantum systems Anatoli Polkovnikov, K. Sengupta, Alessandro Silva et al. · Reviews of Modern Physics | 15 Aug 2011 | 2,876 |
| 22 | Entanglement in Quantum Critical Phenomena Guifré Vidal, José Ignacio Latorre, E. Rico et al. · Physical Review Letters | 2 Jun 2003 | 2,853 |
| 23 | Random-matrix theory of quantum transport C. W. J. Beenakker · Reviews of Modern Physics | Jul 1997 | 2,575 |
| 24 | Probing many-body dynamics on a 51-atom quantum simulator Hannes Bernien, Sylvain Schwartz, Alexander Keesling et al. · Nature | 28 Nov 2017 | 2,566 |
| 25 | Topological Entanglement Entropy Alexei Kitaev, John P. Preskill · Physical Review Letters | 24 Mar 2006 | 2,511 |
| 26 | Machine learning and the physical sciences Giuseppe Carleo, J. I. Cirac, K. Cranmer et al. · Reviews of Modern Physics | 6 Dec 2019 | 2,507 |
| 27 | An introduction to percolation theory V. K. S. Shante, Scott Kirkpatrick · Advances In Physics | May 1971 | 2,506 |
| 28 | Efficient Classical Simulation of Slightly Entangled Quantum Computations Guifré Vidal · Physical Review Letters | Oct 2003 | 2,459 |
| 29 | Many-Body Localization and Thermalization in Quantum Statistical Mechanics Rahul Nandkishore, David A. Huse · Annual Review of Condensed Matter Physics | Mar 2015 | 2,449 |
| 30 | Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction Chongming Yang · Physical Review Letters | 4 Dec 1967 | 2,447 |
| 31 | Quantum annealing in the transverse Ising model Tadashi Kadowaki, Hidetoshi Nishimori · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics | Nov 1998 | 2,433 |
| 32 | A new algorithm for Monte Carlo simulation of Ising spin systems Alfred B. Bortz, M. H. Kalos, Joel L. Lebowitz · Journal of Computational Physics | 1975 | 2,425 |
| 33 | From quantum chaos and eigenstate thermalization to statistical mechanics and thermodynamics Luca D'Alessio, Yariv Kafri, Anatoli Polkovnikov et al. · Advances In Physics | 3 May 2016 | 2,413 |
| 34 | Quantum simulations with ultracold quantum gases Immanuel Bloch, Jean Dalibard, Sylvain Nascimbène · Nature Physics | Apr 2012 | 2,376 |
| 35 | QuTiP 2: A Python framework for the dynamics of open quantum systems J. R. Johansson, Paul D. Nation, Franco Nori · Computer Physics Communications | 13 Dec 2012 | 2,359 |
| 36 | Solving the quantum many-body problem with artificial neural networks Giuseppe Carleo, Matthias Troyer · Science | 10 Feb 2017 | 2,302 |
| 37 | Experimental realization of the topological Haldane model with ultracold fermions Gregor Jotzu, Michael Messer, Rémi Desbuquois et al. · Nature | 11 Nov 2014 | 2,259 |
| 38 | Random-matrix theories in quantum physics: common concepts Thomas Guhr, Axel Müller–Groeling, Hans A. Weidenmüller · Physics Reports | Jun 1998 | 2,252 |
| 39 | A non-linear field theory T. H. R. Skyrme · Proceedings of the Royal Society of London A Mathematical and Physical Sciences | 7 Feb 1961 | 2,251 |
| 40 | Experiments on simple magnetic model systems L.J. de Jongh, Andries Rinse Miedema · Advances In Physics | 1974 | 2,173 |
| 41 | Detecting Topological Order in a Ground State Wave Function Michael Levin, Xiao-Gang Wen · Physical Review Letters | 24 Mar 2006 | 2,137 |
| 42 | Anderson transitions Ferdinand Evers, A. D. Mirlin · Reviews of Modern Physics | 17 Oct 2008 | 2,135 |
| 43 | A practical introduction to tensor networks: Matrix product states and projected entangled pair states Román Orús · Annals of Physics | 19 Jun 2014 | 2,117 |
| 44 | Q uantum ESPRESSO toward the exascale Paolo Giannozzi, Oscar Baseggio, Pietro Bonfà et al. · The Journal of Chemical Physics | 17 Apr 2020 | 2,090 |
| 45 | An introduction to lattice gauge theory and spin systems John B. Kogut · Reviews of Modern Physics | Oct 1979 | 2,061 |
| 46 | Observation of Majorana fermions in ferromagnetic atomic chains on a superconductor Stevan Nadj-Perge, Ilya Drozdov, Jian Li et al. · Science | 2 Oct 2014 | 2,043 |
| 47 | A quantum Newton's cradle Toshiya Kinoshita, Trevor Wenger, David S. Weiss · Nature | Apr 2006 | 2,025 |
| 48 | Gapless spin-fluid ground state in a random quantum Heisenberg magnet Subir Sachdev, Jinwu Ye · Physical Review Letters | 24 May 1993 | 1,984 |
| 49 | Generic New Platform for Topological Quantum Computation Using Semiconductor Heterostructures Jay Deep Sau, Roman M. Lutchyn, Sumanta Tewari et al. · Physical Review Letters | 27 Jan 2010 | 1,969 |
| 50 | Quantum annealing with manufactured spins Mark W. Johnson et al. · Nature | May 2011 | 1,962 |
Citations are OpenAlex's own counts, from its 2026-09-23 snapshot, so the ranking can differ from Google Scholar or Web of Science. A paper is listed for a field when OpenAlex files it under one of the field's topics; retracted papers and papers whose citation count cannot be traced to citing works are left out, and a preprint and the article it became are shown once. Release dates are OpenAlex's: where a source gave only a month or a year, that is what is shown. How the lists are chosen.