Spectral function of the Holstein polaron at finite temperature

Bonča, J.; Trugman, Stuart Alan; Berciu, M.

doi:10.1103/physrevb.100.094307

Spectral function of the Holstein polaron at finite temperature

Journal Article · Wed Sep 18 00:00:00 EDT 2019 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.100.094307· OSTI ID:1756820

Bonča, J. ^[1]; ^[2]; Berciu, M. ^[3]

Jozef Stefan Inst. (IJS), Ljubljana (Slovenia); Univ. of Ljubljana (Slovenia)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Univ. of British Columbia, Vancouver, BC (Canada)

Here we compute the Holstein polaron spectral function on a one-dimensional ring using the finite-temperature T Lanczos method. With increasing T additional features in the spectral function emerge even at temperatures below the phonon frequency. We observe a substantial spread of the spectral weight towards lower frequencies and the broadening of the quasiparticle (QP) peak. In the weak-coupling regime the QP peak merges with the continuum in the high-T limit. In the strong-coupling regime the main features of the low-T spectral function remain detectable up to the highest T used in our calculations. The effective polaron mass shows a nonmonotonic behavior as a function of T at small phonon frequency but increases with T at larger frequencies. The self-energy remains k independent even at elevated T in the frequency range corresponding to the polaron band, while at higher frequencies it develops a distinguishable k dependence. Analytical expressions for the first few frequency moments are derived, and they agree well with those extracted from numerical calculations in a wide-T regime.

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE Laboratory Directed Research and Development (LDRD) Program; Slovenian Research Agency; Natural Sciences and Engineering Research Council of Canada (NSERC)

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 1756820

Alternate ID(s):: OSTI ID: 23013903

Report Number(s):: LA-UR--20-21134

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 9 Vol. 100; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (32)

Many-Particle Physics Mahan, Gerald D. Springer New York, NY https://doi.org/10.1007/978-1-4613-1469-1	book	January 1990
Spectral properties of the 2D Holstein polaron Fehske, H.; Loos, J.; Wellein, G. Zeitschrift für Physik B Condensed Matter, Vol. 104, Issue 4 https://doi.org/10.1007/s002570050498	journal	December 1997
Studies of polaron motion Holstein, T. Annals of Physics, Vol. 8, Issue 3 https://doi.org/10.1016/0003-4916(59)90002-8	journal	November 1959
The spectral function of a one-dimensional Holstein polaron Marsiglio, F. Physics Letters A, Vol. 180, Issue 3 https://doi.org/10.1016/0375-9601(93)90711-8	journal	September 1993
Holstein polaron in a valley-degenerate two-dimensional semiconductor Kang, Mingu; Jung, Sung Won; Shin, Woo Jong Nature Materials, Vol. 17, Issue 8 https://doi.org/10.1038/s41563-018-0092-7	journal	May 2018
Finite-temperature properties of doped antiferromagnets Jaklič, J.; Prelovšek, P. Advances in Physics, Vol. 49, Issue 1 https://doi.org/10.1080/000187300243381	journal	January 2000
Tunnelling system coupled to a harmonic oscillator: an analytical treatment Paganelli, S.; Ciuchi, S. Journal of Physics: Condensed Matter, Vol. 18, Issue 32 https://doi.org/10.1088/0953-8984/18/32/015	journal	July 2006
Self-Energy of the Polaron for Intermediate Temperatures Fulton, Thomas Physical Review, Vol. 103, Issue 6 https://doi.org/10.1103/PhysRev.103.1712	journal	September 1956
Coupled Electron-Phonon System Engelsberg, S.; Schrieffer, J. R. Physical Review, Vol. 131, Issue 3 https://doi.org/10.1103/PhysRev.131.993	journal	August 1963
Twisted boundary conditions in cluster calculations of the optical conductivity in two-dimensional lattice models Poilblanc, Didier Physical Review B, Vol. 44, Issue 17 https://doi.org/10.1103/PhysRevB.44.9562	journal	November 1991
Two-site polaron problem: Electronic and vibrational properties Ranninger, J.; Thibblin, U. Physical Review B, Vol. 45, Issue 14 https://doi.org/10.1103/PhysRevB.45.7730	journal	April 1992
From electron to small polaron: An exact cluster solution Alexandrov, A. S.; Kabanov, V. V.; Ray, D. K. Physical Review B, Vol. 49, Issue 14 https://doi.org/10.1103/PhysRevB.49.9915	journal	April 1994
Dynamical properties of small polarons de Mello, E. V. L.; Ranninger, J. Physical Review B, Vol. 55, Issue 22 https://doi.org/10.1103/PhysRevB.55.14872	journal	June 1997
Dynamical mean-field theory of the small polaron Ciuchi, S.; de Pasquale, F.; Fratini, S. Physical Review B, Vol. 56, Issue 8 https://doi.org/10.1103/PhysRevB.56.4494	journal	August 1997
Holstein polaron Bonča, J.; Trugman, S. A.; Batistić, I. Physical Review B, Vol. 60, Issue 3 https://doi.org/10.1103/PhysRevB.60.1633	journal	July 1999
Lattice polaron formation: Effects of nonscreened electron-phonon interaction Fehske, H.; Loos, J.; Wellein, G. Physical Review B, Vol. 61, Issue 12 https://doi.org/10.1103/PhysRevB.61.8016	journal	March 2000
Dimensionality effects on the Holstein polaron Ku, Li-Chung; Trugman, S. A.; Bonča, J. Physical Review B, Vol. 65, Issue 17 https://doi.org/10.1103/PhysRevB.65.174306	journal	April 2002
Thermodynamics of the planar Hubbard model Bonča, J.; Prelovšek, P. Physical Review B, Vol. 67, Issue 8 https://doi.org/10.1103/PhysRevB.67.085103	journal	February 2003
Spectral function of electron-phonon models by cluster perturbation theory Hohenadler, Martin; Aichhorn, Markus; von der Linden, Wolfgang Physical Review B, Vol. 68, Issue 18 https://doi.org/10.1103/PhysRevB.68.184304	journal	November 2003
Static and dynamic polaron features in a coherent-state basis De Filippis, G.; Cataudella, V.; Ramaglia, V. Marigliano Physical Review B, Vol. 72, Issue 1 https://doi.org/10.1103/PhysRevB.72.014307	journal	July 2005
Holstein light quantum polarons on the one-dimensional lattice Barišić, O. S. Physical Review B, Vol. 73, Issue 21 https://doi.org/10.1103/PhysRevB.73.214304	journal	June 2006
Green’s function of the Holstein polaron Goodvin, Glen L.; Berciu, Mona; Sawatzky, George A. Physical Review B, Vol. 74, Issue 24 https://doi.org/10.1103/PhysRevB.74.245104	journal	December 2006
Quantum dynamics of polaron formation Ku, Li-Chung; Trugman, S. A. Physical Review B, Vol. 75, Issue 1 https://doi.org/10.1103/PhysRevB.75.014307	journal	January 2007
Systematic improvement of the momentum average approximation for the Green’s function of a Holstein polaron Berciu, Mona; Goodvin, Glen L. Physical Review B, Vol. 76, Issue 16 https://doi.org/10.1103/PhysRevB.76.165109	journal	October 2007
Single-polaron properties of the one-dimensional breathing-mode Hamiltonian Lau, Bayo; Berciu, Mona; Sawatzky, George A. Physical Review B, Vol. 76, Issue 17 https://doi.org/10.1103/PhysRevB.76.174305	journal	November 2007
Mobility of Holstein Polaron at Finite Temperature: An Unbiased Approach Mishchenko, A. S.; Nagaosa, N.; De Filippis, G. Physical Review Letters, Vol. 114, Issue 14 https://doi.org/10.1103/PhysRevLett.114.146401	journal	April 2015
Twisted boundary conditions and effective mass in Heisenberg-Ising and Hubbard rings Shastry, B. Sriram; Sutherland, Bill Physical Review Letters, Vol. 65, Issue 2 https://doi.org/10.1103/PhysRevLett.65.243	journal	July 1990
Polaron Problem by Diagrammatic Quantum Monte Carlo Prokof'ev, Nikolai V.; Svistunov, Boris V. Physical Review Letters, Vol. 81, Issue 12 https://doi.org/10.1103/PhysRevLett.81.2514	journal	September 1998
Temperature Dependence of the Angle Resolved Photoemission Spectra in the Undoped Cuprates: Self-Consistent Approach to the t − J Holstein Model Cataudella, V.; De Filippis, G.; Mishchenko, A. S. Physical Review Letters, Vol. 99, Issue 22 https://doi.org/10.1103/PhysRevLett.99.226402	journal	November 2007
Theory of a Polaron at Finite Temperatures Saitoh, Motohiko Journal of the Physical Society of Japan, Vol. 49, Issue 3 https://doi.org/10.1143/JPSJ.49.878	journal	September 1980
Polaron State at a Finite Temperature Osaka, Y. Progress of Theoretical Physics, Vol. 22, Issue 3 https://doi.org/10.1143/PTP.22.437	journal	September 1959
Photoemission spectroscopy and sum rules in dilute electron-phonon systems Kornilovitch, P. E. Europhysics Letters (EPL), Vol. 59, Issue 5 https://doi.org/10.1209/epl/i2002-00187-x	journal	September 2002

Cited By (1)

Finite-temperature density-matrix renormalization group method for electron-phonon systems: Thermodynamics and Holstein-polaron spectral functions Jansen, David; Bonča, Janez; Heidrich-Meisner, Fabian arXiv https://doi.org/10.48550/arxiv.2007.11343	text	January 2020

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