Comparison of the electronic structure of the Hubbard and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>t</mml:mi><mml:mo>−</mml:mo><mml:mi>J</mml:mi></mml:mrow></mml:math>models within the cluster perturbation theory

Kuz’min, V. I.; Николаев, С. В.; Овчинников, С. Г.

doi:10.1103/physrevb.90.245104

Cited by 13 publications

(9 citation statements)

References 34 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…More detailed analysis is planned in future work. Note that the similar effect has been recently observed for the temperature and doping evolution of the band structure in the Hubbard model [58,59]. When the chemical potential enters into the flat band and the quantum phase transition is observed, the density of states raises sharply [Fig.…”

Section: Polaron Band Structuresupporting

confidence: 74%

Polaron transformations in the realistic model of the strongly correlated electron system

et al. 2020

Self Cite

View full text Add to dashboard Cite

Electron-phonon coupling, diagonal in a real space formulation, leads to a polaron paradigm of smoothly varying properties. However, fundamental changes, namely the singular behavior of polarons, occur if offdiagonal pairing is involved into consideration. The study of polaron transformations and related properties of matter is of particular interest for realistic models, since competition between diagonal and off-diagonal electron-phonon contributions in the presence of other strong interactions can result in unconventional behavior of the system. Here we consider a two-dimensional multiband pd model of cuprate superconductors with electron-phonon interaction and analyze the features of the systems that are caused by the competition of diagonal and off-diagonal electron-phonon contributions in the limit of strong electron correlations. Using the polaronic version of the generalized tight-binding method, we describe the evolution of the band structure, Fermi surface, density of states at Fermi level, and phonon spectral function in the space of electron-phonon parameters ranging from weak to strong coupling strength of the adiabatic limit. On the phase diagram of polaron properties we reveal two quantum phase transitions and show how electron-phonon interaction gives rise to Fermi surface transformation (i) from hole pockets to true Fermi arcs and (ii) from hole to electron type of conductivity. We also demonstrate the emergence of new states in the phonon spectral function of the polaron and discuss their origin.

show abstract

Section: Polaron Band Structuresupporting

confidence: 74%

Polaron transformations in the realistic model of the strongly correlated electron system

et al. 2020

Self Cite

View full text Add to dashboard Cite

show abstract

“…Therefore it turns out that the translational symmetry break- ing does not seem to affect the structure of the FS in this "pure" PG regime. This statement is supported by a number of numerical calculations carried out in the framework of cluster approaches (CPT [47][48][49], C-DMFT [44,50,51]) for the different cluster sizes, whith the resulting FSs qualitatively corresponding to the FS arcs obtained in the present work.…”

supporting

confidence: 82%

Fermi surface reconstruction in underdoped cuprates: Origin of electron pockets

Ivantsov¹,

Ferraz²,

Kochetov³

2018

Phys. Rev. B

View full text Add to dashboard Cite

A new phenomenological model is proposed to describe the evolution of the Fermi surface (FS) in a wide range of dopings. It reproduces the key features of the cuprates in the underdoped phase above the superconducting temperature Tc. It is shown that the explicit accounting of strong electron correlation in the framework of the t−J model taken in complementary to the translational symmetry breaking induced by the charge density wave (CDW) gives rise to the Fermi surface reconstruction (FSR) into small electron pockets. While the strong Coulomb repulsion leads to an emergence of the arc-like Fermi surface in the pseudogap (PG) phase, the Bragg reflection on the boundaries of the reduced Brillouin zone (BZ) opens up a possibility to close the quasiparticle orbits. Direct calculation of the FS properties allows us to unveil the scenario of the experimentally observed transition to the CDW phase that sets in at the doping level δ ≈ 0.08 and is accompanied by a divergence of the carriers effective mass and the sign reversals of the Hall and Seebeck coefficients.Introduction. The discovery of quantum oscillations in the underdoped YBa 2 Cu 3 O 6+δ (YBCO) in a high magnetic field[1-3] revealed among other features a reconstruction of the Fermi surface into small pockets. Further measurements[4] also established that the area of the FS is proportional to the doping value δ instead of the 1 + δ as predicted by the conventional Fermi liquid (FL) theory. The sign changes of both Hall[5] and Seebeck[6] coefficients in the doping range of 0.08 < δ < 0.16 indicates that, at a low temperature, electron-like pockets emerge due to the translation symmetry breaking that takes place in the ground state of the non-superconducting phase. The subsequent detection of quantum oscillations in YBa 2 Cu 4 O 8 [7,8], HgBa 2 CuO 4+δ [9] and other compounds [10][11][12][13][14] confirms that such a FSR is a generic property of the underdoped cuprates.All those compounds reveal the presence of the CDW modulation right at the very doping level where the FSR has been detected. It was shown that, for YBCO, the incommensurate CDW modulation vectors lie in the CuO plane and they take the form Q x = 2π(Q, 0) and Q y = 2π(0, Q) with Q ≈ 0.31 [15][16][17][18]. This CDW ordering with a period varying from 3 to 5 lattice spacings has also been detected by scanning tunneling microscopy (STM) and x-ray diffraction (XRD) studies in underdoped cuprates [19][20][21][22][23][24][25][26][27][28]. Those experimental evidences strongly suggest that this charge ordering indeed is the leading cause for the observed FSR. Also, a number of experiments revealed a predominant d-wave form factor of the CDW ordering [29][30][31].The phenomenological calculations confirm that the electron-like pockets in the nodal regions can be obtained within the one band phenomenological tight-binding model by breaking translation symmetry by multiple-Q ordering [32]. Extending that model to incorporate a long-range charge order with the d-form factor [33] pro-

show abstract

“…This automatically results in an inhomogeneous distribution of the electron density within the isolated cluster. (Note, however, that the smallest possible 2 × 2 cluster does not result in such an induced CDW order [16]). This is not the case, however.…”

Section: Resultsmentioning

confidence: 98%

Itinerant-localized model of strongly correlated electrons: Fermi surface reconstruction

2017

View full text Add to dashboard Cite

A number of recent experiments have highlighted a remarkable transformation of a large cuprate Fermi surface into small pockets in the underdoped region signalling a breakdown of a conventional Fermi liquid theory in the PG phase. A few phenomenological models have been recently put forward to account for this transformation. However, none of those models have been derived microscopically nor are totally compatible with experimental data. In the present work we show that the observed Fermi-surface reconstruction can be accounted for directly within a standard microscopic t−J model of correlated electrons, provided strong electron correlations are properly taken into account.

show abstract

Comparison of the electronic structure of the Hubbard andt−Jmodels within the cluster perturbation theory

Cited by 13 publications

References 34 publications

Polaron transformations in the realistic model of the strongly correlated electron system

Polaron transformations in the realistic model of the strongly correlated electron system

Fermi surface reconstruction in underdoped cuprates: Origin of electron pockets

Itinerant-localized model of strongly correlated electrons: Fermi surface reconstruction

Contact Info

Product

Resources

About