Bond-Peierls polaron: Moderate mass enhancement and current-carrying ground state

Carbone, Matthew R.; Millis, Andrew J.; Reichman, David R.; Sous, John

doi:10.1103/physrevb.104.l140307

Bond-Peierls polaron: Moderate mass enhancement and current-carrying ground state

Journal Article · Thu Oct 28 04:00:00 EDT 2021 · Physical Review B

DOI:https://doi.org/10.1103/physrevb.104.l140307· OSTI ID:1835113

^[1]; Millis, Andrew J. ^[2]; Reichman, David R. ^[3]; ^[3]

Brookhaven National Lab. (BNL), Upton, NY (United States); Columbia Univ., New York, NY (United States)
Columbia Univ., New York, NY (United States); Flatiron Institute, New York, NY (United States)
Columbia Univ., New York, NY (United States)

We study polarons in the one-dimensional Bond-Peierls electron-phonon model in which phonons on bonds of a lattice modulate the hopping of electrons between lattice sites and contrast the results to those known for the breathing-mode Peierls problem. By inspecting the atomic limit, we show that polaronic dressing and mass enhancement of Bond-Peierls polarons depend on the momentum dependence of the phonons. For dispersionless phonons, Bond-Peierls polarons are perfectly localized in the atomic limit, unlike their breathing-mode counter-parts because the carrier creates a string of phonon excitations that can only be annihilated via processes that retrace the carrier to its original site. Furthermore, inclusion of phonon dispersion leads to a nondivergent polaron mass even in the atomic limit and depending on the form of the phonon dispersion may lead to a transition to a non-zero-momentum ground state akin to that found in the breathing-mode Peierls model.

View Accepted Manuscript (DOE)

Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)

Grant/Contract Number:: SC0012704

OSTI ID:: 1835113

Report Number(s):: BNL--222461-2021-JAAM

Journal Information:: Physical Review B, Journal Name: Physical Review B Journal Issue: 14 Vol. 104; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (24)

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
Studies of polaron motion Holstein, T. Annals of Physics, Vol. 8, Issue 3 https://doi.org/10.1016/0003-4916(59)90003-X	journal	November 1959
How Lattice and Charge Fluctuations Control Carrier Dynamics in Halide Perovskites Mayers, Matthew Z.; Tan, Liang Z.; Egger, David A. Nano Letters, Vol. 18, Issue 12 https://doi.org/10.1021/acs.nanolett.8b04276	journal	November 2018
Fractons from frustration in hole-doped antiferromagnets Sous, John; Pretko, Michael npj Quantum Materials, Vol. 5, Issue 1 https://doi.org/10.1038/s41535-020-00278-2	journal	November 2020
Electrons in lattice fields Fröhlich, H. Advances in Physics, Vol. 3, Issue 11, p. 325-361 https://doi.org/10.1080/00018735400101213	journal	July 1954
XX. Properties of slow electrons in polar materials Fröhlich, H.; Pelzer, H.; Zienau, S. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, Vol. 41, Issue 314 https://doi.org/10.1080/14786445008521794	journal	March 1950
Bipolarons Alexandrov, A. S.; Mott, N. F. Reports on Progress in Physics, Vol. 57, Issue 12 https://doi.org/10.1088/0034-4885/57/12/001	journal	December 1994
Slow Electrons in a Polar Crystal Feynman, R. P. Physical Review, Vol. 97, Issue 3 https://doi.org/10.1103/PhysRev.97.660	journal	February 1955
Fractons from polarons Sous, John; Pretko, Michael Physical Review B, Vol. 102, Issue 21 https://doi.org/10.1103/PhysRevB.102.214437	journal	December 2020
Numerically exact generalized Green's function cluster expansions for electron-phonon problems Carbone, Matthew R.; Reichman, David R.; Sous, John Physical Review B, Vol. 104, Issue 3 https://doi.org/10.1103/PhysRevB.104.035106	journal	July 2021
Peierls/Su-Schrieffer-Heeger polarons in two dimensions Zhang, Chao; Prokof'ev, Nikolay V.; Svistunov, Boris V. Physical Review B, Vol. 104, Issue 3 https://doi.org/10.1103/PhysRevB.104.035143	journal	July 2021
Interaction of holes in a Hubbard antiferromagnet and high-temperature superconductivity Trugman, S. A. Physical Review B, Vol. 37, Issue 4 https://doi.org/10.1103/PhysRevB.37.1597	journal	February 1988
Rigid-Atom Electron-Phonon Coupling in the Tight-Binding Approximation.I Barišić, S. Physical Review B, Vol. 5, Issue 3 https://doi.org/10.1103/PhysRevB.5.932	journal	February 1972
Self-Consistent Electron-Phonon Coupling in the Tight-Binding Approximation. II Barišić, S. Physical Review B, Vol. 5, Issue 3 https://doi.org/10.1103/PhysRevB.5.941	journal	February 1972
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
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
Momentum average approximation for models with boson-modulated hopping: Role of closed loops in the dynamical generation of a finite quasiparticle mass Berciu, Mona; Fehske, Holger Physical Review B, Vol. 82, Issue 8 https://doi.org/10.1103/PhysRevB.82.085116	journal	August 2010
Sharp Transition for Single Polarons in the One-Dimensional Su-Schrieffer-Heeger Model Marchand, D. J. J.; De Filippis, G.; Cataudella, V. Physical Review Letters, Vol. 105, Issue 26 https://doi.org/10.1103/PhysRevLett.105.266605	journal	December 2010
Light Bipolarons Stabilized by Peierls Electron-Phonon Coupling Sous, John; Chakraborty, Monodeep; Krems, Roman V. Physical Review Letters, Vol. 121, Issue 24 https://doi.org/10.1103/PhysRevLett.121.247001	journal	December 2018
Quantum Monte Carlo Simulations of the 2D Su-Schrieffer-Heeger Model Xing, Bo; Chiu, Wei-Ting; Poletti, Dario Physical Review Letters, Vol. 126, Issue 1 https://doi.org/10.1103/PhysRevLett.126.017601	journal	January 2021
Tight Binding and Transition-Metal Superconductivity Barišić, S.; Labbé, J.; Friedel, J. Physical Review Letters, Vol. 25, Issue 14 https://doi.org/10.1103/PhysRevLett.25.919	journal	October 1970
Solitons in Polyacetylene Su, W. P.; Schrieffer, J. R.; Heeger, A. J. Physical Review Letters, Vol. 42, Issue 25 https://doi.org/10.1103/PhysRevLett.42.1698	journal	June 1979
Experimental and Theoretical Constraints of Bipolaronic Superconductivity in High T c Materials: An Impossibility Chakraverty, B. K.; Ranninger, J.; Feinberg, D. Physical Review Letters, Vol. 81, Issue 2 https://doi.org/10.1103/PhysRevLett.81.433	journal	July 1998
Mobile Bipolaron Bonc̆a, J.; Katras̆nik, T.; Trugman, S. A. Physical Review Letters, Vol. 84, Issue 14 https://doi.org/10.1103/PhysRevLett.84.3153	journal	April 2000

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