Exploring nonequilibrium phases of photo-doped Mott insulators with generalized Gibbs ensembles

Murakami, Yuta; Takayoshi, Shintaro; Kaneko, Tatsuya; Sun, Zhiyuan; Golež, Denis; Millis, Andrew J.; Werner, Philipp

doi:10.1038/s42005-021-00799-7

Title: Exploring nonequilibrium phases of photo-doped Mott insulators with generalized Gibbs ensembles

Journal Article · 13 January 2022 · Communications Physics

DOI: https://doi.org/10.1038/s42005-021-00799-7 · OSTI ID:1978732

^[1]; Takayoshi, Shintaro ^[2]; Kaneko, Tatsuya ^[3];

^[3];

^[4]; Millis, Andrew J. ^[5];

^[6]

Tokyo Institute of Technology (Japan); Tokyo Institute of Technology (Japan)
Konan Univ., Kobe (Japan)
Columbia Univ., New York, NY (United States)
Jozef Stefan Inst. (IJS), Ljubljana (Slovenia); Univ. of Ljubljana (Slovenia)
Columbia Univ., New York, NY (United States); Flatiron Institute, New York, NY (United States)
Univ. of Fribourg (Switzerland)

Many experiments show that strong excitations of correlated quantum materials can cause non-thermal phases without equilibrium analogues. Understanding the origin and properties of these nonequilibrium states has been challenging due to the limitations of theoretical methods for nonequilibrium strongly correlated systems. In this work, we introduce a generalized Gibbs ensemble description that enables a systematic analysis of the long-time behavior of photo-doped states in Mott insulators based on equilibrium methods. We demonstrate the power of the method by mapping out the nonequilibrium phase diagram of the one-dimensional extended Hubbard model, which featuresη-pairing and charge density wave phases in a wide photo-doping range. We furthermore clarify that the peculiar kinematics of photo-doped carriers, and the interaction between them, play an essential role in the formation of these non-thermal phases. Our results establish a new path for the systematic analysis of nonequilibrium strongly correlated systems.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Columbia Univ., New York, NY (United States)

Sponsoring Organization:: JSPS KAKENHI; Slovenian Research Agency (ARRS); USDOE Office of Science (SC)

Grant/Contract Number:: SC0019443

OSTI ID:: 1978732

Journal Information:: Communications Physics, Journal Name: Communications Physics Journal Issue: 1 Vol. 5; ISSN 2399-3650

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

References (66)

The Mass Action Law in Two-Component Fermi Systems Revisited Excitons and Electron-Hole Pairs Zimmermann, R.; Stolz, H. physica status solidi (b), Vol. 131, Issue 1 https://doi.org/10.1002/pssb.2221310115	journal	September 1985
Theory of absorption and refraction of direct-gap semiconductors with arbitrary free-carrier concentrations Schmitt-Rink, S.; Löwenau, J.; Haug, H. Zeitschrift für Physik B Condensed Matter, Vol. 47, Issue 1 https://doi.org/10.1007/BF01686177	journal	March 1982
mVMC—Open-source software for many-variable variational Monte Carlo method Misawa, Takahiro; Morita, Satoshi; Yoshimi, Kazuyoshi Computer Physics Communications, Vol. 235 https://doi.org/10.1016/j.cpc.2018.08.014	journal	February 2019
Theory of photoinduced phase transitions in itinerant electron systems Yonemitsu, Kenji; Nasu, Keiichiro Physics Reports, Vol. 465, Issue 1 https://doi.org/10.1016/j.physrep.2008.04.008	journal	August 2008
The One-Dimensional Hubbard Model Essler, Fabian H. L.; Frahm, Holger; Göhmann, Frank Cambridge University Press https://doi.org/10.1017/CBO9780511534843	book	January 2009
Possible light-induced superconductivity in K3C60 at high temperature Mitrano, M.; Cantaluppi, A.; Nicoletti, D. Nature, Vol. 530, Issue 7591 https://doi.org/10.1038/nature16522	journal	February 2016
Pumping approximately integrable systems Lange, Florian; Lenarčič, Zala; Rosch, Achim Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/ncomms15767	journal	June 2017
Towards properties on demand in quantum materials Basov, D. N.; Averitt, R. D.; Hsieh, D. Nature Materials, Vol. 16, Issue 11 https://doi.org/10.1038/nmat5017	journal	October 2017
Theory of photoinduced ultrafast switching to a spin-orbital ordered hidden phase Li, Jiajun; Strand, Hugo U. R.; Werner, Philipp Nature Communications, Vol. 9, Issue 1 https://doi.org/10.1038/s41467-018-07051-x	journal	November 2018
Light-induced evaporative cooling of holes in the Hubbard model Werner, Philipp; Eckstein, Martin; Müller, Markus Nature Communications, Vol. 10, Issue 1 https://doi.org/10.1038/s41467-019-13557-9	journal	December 2019
Light-induced charge density wave in LaTe3 Kogar, Anshul; Zong, Alfred; Dolgirev, Pavel E. Nature Physics, Vol. 16, Issue 2 https://doi.org/10.1038/s41567-019-0705-3	journal	November 2019
Photoinduced possible superconducting state with long-lived disproportionate band filling in FeSe Suzuki, Takeshi; Someya, Takashi; Hashimoto, Takahiro Communications Physics, Vol. 2, Issue 1 https://doi.org/10.1038/s42005-019-0219-4	journal	September 2019
Ultrafast optical spectroscopy of strongly correlated materials and high-temperature superconductors: a non-equilibrium approach Giannetti, Claudio; Capone, Massimo; Fausti, Daniele Advances in Physics, Vol. 65, Issue 2 https://doi.org/10.1080/00018732.2016.1194044	journal	March 2016
Photo-induced superconductivity Cavalleri, Andrea Contemporary Physics, Vol. 59, Issue 1 https://doi.org/10.1080/00107514.2017.1406623	journal	November 2017
The electron-hole liquid in semiconductors Keldysh, L. V. Contemporary Physics, Vol. 27, Issue 5 https://doi.org/10.1080/00107518608211022	journal	September 1986
The transition to the metallic state Mott, N. F. Philosophical Magazine, Vol. 6, Issue 62 https://doi.org/10.1080/14786436108243318	journal	February 1961
The t – J model for the oxide high- T _c superconductors Ogata, Masao; Fukuyama, Hidetoshi Reports on Progress in Physics, Vol. 71, Issue 3 https://doi.org/10.1088/0034-4885/71/3/036501	journal	February 2008
Generalized Gibbs ensemble in integrable lattice models Vidmar, Lev; Rigol, Marcos Journal of Statistical Mechanics: Theory and Experiment, Vol. 2016, Issue 6 https://doi.org/10.1088/1742-5468/2016/06/064007	journal	June 2016
Quantum Physics in One Dimension Giamarchi, Thierry https://doi.org/10.1093/acprof:oso/9780198525004.001.0001	book	December 2003
Relation between the Anderson and Kondo Hamiltonians Schrieffer, J. R.; Wolff, P. A. Physical Review, Vol. 149, Issue 2 https://doi.org/10.1103/PhysRev.149.491	journal	September 1966
Excitonic Insulator Jérome, D.; Rice, T. M.; Kohn, W. Physical Review, Vol. 158, Issue 2 https://doi.org/10.1103/PhysRev.158.462	journal	June 1967
Entropy-cooled nonequilibrium states of the Hubbard model Werner, Philipp; Li, Jianju; Golež, Denis Physical Review B, Vol. 100, Issue 15 https://doi.org/10.1103/PhysRevB.100.155130	journal	October 2019
Ultrafast nonequilibrium evolution of excitonic modes in semiconductors Murakami, Yuta; Schüler, Michael; Takayoshi, Shintaro Physical Review B, Vol. 101, Issue 3 https://doi.org/10.1103/PhysRevB.101.035203	journal	January 2020
η -paired superconducting hidden phase in photodoped Mott insulators Li, Jiajun; Golez, Denis; Werner, Philipp Physical Review B, Vol. 102, Issue 16 https://doi.org/10.1103/PhysRevB.102.165136	journal	October 2020
High-harmonic generation in one-dimensional Mott insulators Murakami, Yuta; Takayoshi, Shintaro; Koga, Akihisa Physical Review B, Vol. 103, Issue 3 https://doi.org/10.1103/PhysRevB.103.035110	journal	January 2021
Nonequilibrium steady-state theory of photodoped Mott insulators Li, Jiajun; Eckstein, Martin Physical Review B, Vol. 103, Issue 4 https://doi.org/10.1103/PhysRevB.103.045133	journal	January 2021
Light-induced hidden odd-frequency order in a model for A3C60 Werner, Philipp; Murakami, Yuta Physical Review B, Vol. 104, Issue 20 https://doi.org/10.1103/PhysRevB.104.L201101	journal	November 2021
Bethe-ansatz wave function, momentum distribution, and spin correlation in the one-dimensional strongly correlated Hubbard model Ogata, Masao; Shiba, Hiroyuki Physical Review B, Vol. 41, Issue 4 https://doi.org/10.1103/PhysRevB.41.2326	journal	February 1990
Correlation functions and critical exponents in the one-dimensional anisotropict-Jmodel Pruschke, Thomas; Shiba, Hiroyuki Physical Review B, Vol. 44, Issue 1 https://doi.org/10.1103/PhysRevB.44.205	journal	July 1991
Fermion-spin transformation to implement the charge-spin separation Feng, Shiping; Su, Z. B.; Yu, L. Physical Review B, Vol. 49, Issue 4 https://doi.org/10.1103/PhysRevB.49.2368	journal	January 1994
Photoinduced superconducting states in strongly correlated electron systems Takahashi, Akira; Gomi, Hiroki; Aihara, Masaki Physical Review B, Vol. 66, Issue 11 https://doi.org/10.1103/PhysRevB.66.115103	journal	September 2002
Photogenerated holon-doublon cluster states in strongly correlated low-dimensional electron systems Gomi, Hiroki; Takahashi, Akira; Ueda, Toshihiro Physical Review B, Vol. 71, Issue 4 https://doi.org/10.1103/PhysRevB.71.045129	journal	January 2005
Simulation of strongly correlated fermions in two spatial dimensions with fermionic projected entangled-pair states Corboz, Philippe; Orús, Román; Bauer, Bela Physical Review B, Vol. 81, Issue 16 https://doi.org/10.1103/PhysRevB.81.165104	journal	April 2010
Lifetime of double occupancies in the Fermi-Hubbard model Sensarma, Rajdeep; Pekker, David; Altman, Ehud Physical Review B, Vol. 82, Issue 22 https://doi.org/10.1103/PhysRevB.82.224302	journal	December 2010
Thermalization of a pump-excited Mott insulator Eckstein, Martin; Werner, Philipp Physical Review B, Vol. 84, Issue 3 https://doi.org/10.1103/PhysRevB.84.035122	journal	July 2011
Charge recombination in undoped cuprates Lenarčič, Zala; Prelovšek, Peter Physical Review B, Vol. 90, Issue 23 https://doi.org/10.1103/PhysRevB.90.235136	journal	December 2014
Dynamics of screening in photodoped Mott insulators Golež, Denis; Eckstein, Martin; Werner, Philipp Physical Review B, Vol. 92, Issue 19 https://doi.org/10.1103/PhysRevB.92.195123	journal	November 2015
Time-dependent generalized Gibbs ensembles in open quantum systems Lange, Florian; Lenarčič, Zala; Rosch, Achim Physical Review B, Vol. 97, Issue 16 https://doi.org/10.1103/PhysRevB.97.165138	journal	April 2018
Metastable Superfluidity of Repulsive Fermionic Atoms in Optical Lattices Rosch, Achim; Rasch, David; Binz, Benedikt Physical Review Letters, Vol. 101, Issue 26 https://doi.org/10.1103/PhysRevLett.101.265301	journal	December 2008
Observation of Elastic Doublon Decay in the Fermi-Hubbard Model Strohmaier, Niels; Greif, Daniel; Jördens, Robert Physical Review Letters, Vol. 104, Issue 8 https://doi.org/10.1103/PhysRevLett.104.080401	journal	February 2010
Photoinduced Change in the Spin State of Itinerant Correlated Electron Systems Kanamori, Y.; Matsueda, H.; Ishihara, S. Physical Review Letters, Vol. 107, Issue 16 https://doi.org/10.1103/PhysRevLett.107.167403	journal	October 2011
Exciton-Mott Physics in a Quasi-One-Dimensional Electron-Hole System Yoshioka, Takuya; Asano, Kenichi Physical Review Letters, Vol. 107, Issue 25 https://doi.org/10.1103/PhysRevLett.107.256403	journal	December 2011
Enhanced Charge Order in a Photoexcited One-Dimensional Strongly Correlated System Lu, Hantao; Sota, Shigetoshi; Matsueda, Hiroaki Physical Review Letters, Vol. 109, Issue 19 https://doi.org/10.1103/PhysRevLett.109.197401	journal	November 2012
Photoinduced States in a Mott Insulator Eckstein, Martin; Werner, Philipp Physical Review Letters, Vol. 110, Issue 12 https://doi.org/10.1103/PhysRevLett.110.126401	journal	March 2013
Ultrafast Charge Recombination in a Photoexcited Mott-Hubbard Insulator Lenarčič, Zala; Prelovšek, Peter Physical Review Letters, Vol. 111, Issue 1 https://doi.org/10.1103/PhysRevLett.111.016401	journal	July 2013
Pressure-Dependent Relaxation in the Photoexcited Mott Insulator ET – F 2 TCNQ : Influence of Hopping and Correlations on Quasiparticle Recombination Rates Mitrano, M.; Cotugno, G.; Clark, S. R. Physical Review Letters, Vol. 112, Issue 11 https://doi.org/10.1103/PhysRevLett.112.117801	journal	March 2014
Excitation-Photon-Energy Selectivity of Photoconversions in Halogen-Bridged Pd-Chain Compounds: Mott Insulator to Metal or Charge-Density-Wave State Matsuzaki, H.; Iwata, M.; Miyamoto, T. Physical Review Letters, Vol. 113, Issue 9 https://doi.org/10.1103/PhysRevLett.113.096403	journal	August 2014
Light-Enhanced Spin Fluctuations and d -Wave Superconductivity at a Phase Boundary Wang, Yao; Chen, Cheng-Chien; Moritz, B. Physical Review Letters, Vol. 120, Issue 24 https://doi.org/10.1103/PhysRevLett.120.246402	journal	June 2018
Photoinduced η Pairing in the Hubbard Model Kaneko, Tatsuya; Shirakawa, Tomonori; Sorella, Sandro Physical Review Letters, Vol. 122, Issue 7 https://doi.org/10.1103/PhysRevLett.122.077002	journal	February 2019
Heating-Induced Long-Range η Pairing in the Hubbard Model Tindall, J.; Buča, B.; Coulthard, J. R. Physical Review Letters, Vol. 123, Issue 3 https://doi.org/10.1103/PhysRevLett.123.030603	journal	July 2019
Light-Driven Electron-Hole Bardeen-Cooper-Schrieffer-Like State in Bulk GaAs Murotani, Yuta; Kim, Changsu; Akiyama, Hidefumi Physical Review Letters, Vol. 123, Issue 19 https://doi.org/10.1103/PhysRevLett.123.197401	journal	November 2019
New Functional Integral Approach to Strongly Correlated Fermi Systems: The Gutzwiller Approximation as a Saddle Point Kotliar, Gabriel; Ruckenstein, Andrei E. Physical Review Letters, Vol. 57, Issue 11 https://doi.org/10.1103/PhysRevLett.57.1362	journal	September 1986
η pairing and off-diagonal long-range order in a Hubbard model Yang, Chen Ning Physical Review Letters, Vol. 63, Issue 19 https://doi.org/10.1103/PhysRevLett.63.2144	journal	November 1989
Efficient Classical Simulation of Slightly Entangled Quantum Computations Vidal, Guifré Physical Review Letters, Vol. 91, Issue 14 https://doi.org/10.1103/PhysRevLett.91.147902	journal	October 2003
Pump-driven normal-to-excitonic insulator transition: Josephson oscillations and signatures of BEC-BCS crossover in time-resolved ARPES Perfetto, E.; Sangalli, D.; Marini, A. Physical Review Materials, Vol. 3, Issue 12 https://doi.org/10.1103/PhysRevMaterials.3.124601	journal	December 2019
Photoinduced η -pairing at finite temperatures Ejima, Satoshi; Kaneko, Tatsuya; Lange, Florian Physical Review Research, Vol. 2, Issue 3 https://doi.org/10.1103/PhysRevResearch.2.032008	journal	July 2020
Charge stiffness and long-range correlation in the optically induced η -pairing state of the one-dimensional Hubbard model Kaneko, Tatsuya; Yunoki, Seiji; Millis, Andrew J. Physical Review Research, Vol. 2, Issue 3 https://doi.org/10.1103/PhysRevResearch.2.032027	journal	July 2020
Correlated electrons in high-temperature superconductors Dagotto, Elbio Reviews of Modern Physics, Vol. 66, Issue 3 https://doi.org/10.1103/RevModPhys.66.763	journal	July 1994
Metal-insulator transitions Imada, Masatoshi; Fujimori, Atsushi; Tokura, Yoshinori Reviews of Modern Physics, Vol. 70, Issue 4, p. 1039-1263 https://doi.org/10.1103/RevModPhys.70.1039	journal	October 1998
Colloquium: Nonthermal pathways to ultrafast control in quantum materials de la Torre, Alberto; Kennes, Dante M.; Claassen, Martin Reviews of Modern Physics, Vol. 93, Issue 4 https://doi.org/10.1103/RevModPhys.93.041002	journal	October 2021
Light-Induced Superconductivity in a Stripe-Ordered Cuprate Fausti, D.; Tobey, R. I.; Dean, N. Science, Vol. 331, Issue 6014 https://doi.org/10.1126/science.1197294	journal	January 2011
Ultrafast Switching to a Stable Hidden Quantum State in an Electronic Crystal Stojchevska, L.; Vaskivskyi, I.; Mertelj, T. Science, Vol. 344, Issue 6180 https://doi.org/10.1126/science.1241591	journal	April 2014
Superconducting optical response of photodoped Mott insulators Li, J.; Golez, D.; Werner, P. Modern Physics Letters B, Vol. 34, Issue 19n20 https://doi.org/10.1142/S0217984920400540	journal	June 2020
Floquet Engineering of Quantum Materials Oka, Takashi; Kitamura, Sota Annual Review of Condensed Matter Physics, Vol. 10, Issue 1 https://doi.org/10.1146/annurev-conmatphys-031218-013423	journal	March 2019
Exciton–Mott Physics in Two-Dimensional Electron–Hole Systems: Phase Diagram and Single-Particle Spectra Asano, Kenichi; Yoshioka, Takuya Journal of the Physical Society of Japan, Vol. 83, Issue 8 https://doi.org/10.7566/JPSJ.83.084702	journal	August 2014
Possible Light-Induced Superconductivity in a Strongly Correlated Electron System Bittner, Nikolaj; Tohyama, Takami; Kaiser, Stefan Journal of the Physical Society of Japan, Vol. 88, Issue 4 https://doi.org/10.7566/JPSJ.88.044704	journal	April 2019

Similar Records

Anomalously slow hot carrier cooling and insulator-to-metal transition in a photo-doped Mott insulator

Journal Article · 2025 · Communications Physics · OSTI ID:2564327

Choudhry, Usama; Zhang, Jin; Huang, Kewen; +8 more

Quench Dynamics and Nonequilibrium Phase Diagram of the Bose-Hubbard Model

Journal Article · 2007 · Physical Review Letters · OSTI ID:20951323

Kollath, Corinna; Laeuchli, Andreas M; Altman, Ehud

Ultrafast energy- and momentum-resolved dynamics of magnetic correlations in the photo-doped Mott insulator Sr₂IrO₄

Journal Article · 2016 · Nature Materials · OSTI ID:1311357

Dean, M. P. M.; Cao, Y.; Liu, X.; +32 more

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
Electronic properties and materials
Phase transitions and critical phenomena
Physics

Title: Exploring nonequilibrium phases of photo-doped Mott insulators with generalized Gibbs ensembles

Citation Formats

References (66)

Similar Records

Related Subjects