Correlation of optical conductivity and angle-resolved photoemission spectra of strong-coupling large polarons and its display in cuprates

Abstract

Common approach is used to calculate band due to strong-coupling large polaron (SCLP) photodissociation in ARPES and in optical conductivity (OC) spectra. It is based on using the coherent-states representation for the phonon field in SCLP. The calculated positions of both band maximums are universal functions of one parameter -the SCLP binding energy E p : ARPES band maximum lies at binding energy about 3.2E p ; the OC band maximum is at the photon energy about 4.2E p. The half-widths of the bands are mainly determined by E p and slightly depend on electron-phonon coupling constant α, for α =6-8 the ARPES band half-width is 1.7-1.3E p and the OC band half-width is 2.8-2.2E p . Using these results one can predict approximate position of ARPES band maximum and half-width from the maximum of mid-IR OC band and vice versa. Comparison of the results with experiments leads to a conclusion that underdoped cuprates contain SCLPs with E p =0.1-0.2 eV that is in good conformity with the medium parameters in cuprates. The values of the polaron binding energy determined from experimental ARPES and OC spectra of the same material are in good conformity too: the difference between them is within 10 %. PACS numbers 71.38.Fp, 74.25.Gz, 79.60.Bm

Electrodynamics of correlated electron materials

“…This sets up coherent lattice vibrations, which have recently been observed in GaAs using a midinfrared probe pulse (Gaal, 2007). Predictions of the energy of the midinfrared peak using the Fröhlich model are as high as 4:2E p in the strong coupling limit (Myasnikova and Myasnikov, 2008), and 2E p in the Holstein model (Fratini and Ciuchi, 2006). Consequently, in the case of transition-metal oxides, the Fröhlich coupling predicts a midinfrared peak at 0.7 eV at most.…”

Manifestations of the Electron-Phonon Coupling in the Spectroscopy of High-Temperature Superconductors

“…experimental spectra. One of exceptions where two-peak structure is discussed is [250]. It is pointed out that the two-peak structure of OC occurs at some coupling constants in the Fröhlich model [41,48].…”

“…To the contrary, the two-peak structure is the robust property of the experimental data and the OC of the t-J-H model. The authors of [250] used similar approaches [252,253] to calculate the OC and ARPES spectra and found clear relation between the position of the peaks in ARPES and OC spectra.…”

Distribution of charge carriers at strong electron–phonon interaction and “vertical dispersion” in ARPES spectra of cuprates

“…Strong electron-phonon interaction (EPI) in doped cuprates is widely acknowledged now due to interpretation of broad bands in their ARPES and optical conductivity spectra [1][2][3][4][5][6][7][8][9] . Indeed, strong EPI generates such a deformation of the phonon vacuum that the system state with the SBTS (polaron) is energetically profitable 10 according to early Landau's idea 11 .…”

“…Indeed, strong EPI generates such a deformation of the phonon vacuum that the system state with the SBTS (polaron) is energetically profitable 10 according to early Landau's idea 11 . The translational symmetry recovery during the polaron photodissociation is accompanied by radiation of multiple phonons, their number is controlled by Poisson distribution 7,8 . This results in broad bands in ARPES and optical conductivity spectra of lightly doped cuprates.…”