Effect of Short-Range Correlations on Spectral Properties of Doped Mott Insulators

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

doi:10.1007/s10948-018-4927-x

Cited by 3 publications

(1 citation statement)

References 81 publications

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“…After introducing the formalism and implementation of the CPT+DQMC method, we will explore three examples: the attractive Hubbard model in a superconducting state, the half-filled repulsive Hubbard model, and the doped repulsive Hubbard model. In these examples, we will illustrate the advantages of the DQMC solver over the standard ED solver for CPT [13,14,[16][17][18][19][20][21][22][23][24][25][26][27], and also demonstrate the advantages of the CPT+DQMC method over finite size DQMC simulations. We conclude with a brief discussion of interesting open problems that are particularly suitable for study by CPT+DQMC.…”

Section: Introductionmentioning

confidence: 99%

Determinantal Quantum Monte Carlo solver for Cluster Perturbation Theory

Huang¹,

Wang²

2021

Preprint

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Cluster Perturbation Theory (CPT) is a technique for computing the spectral function of fermionic models with local interactions. By combining the solution of the model on a finite cluster with perturbation theory on intra-cluster hoppings, CPT provides access to single-particle properties with arbitrary momentum resolution while incurring low computational cost. Here, we introduce Determinantal Quantum Monte Carlo (DQMC) as a solver for CPT. Compared to the standard solver, exact diagonalization (ED), the DQMC solver reduces finite size effects through utilizing larger clusters, allows study of temperature dependence, and enables large-scale simulations of a greater set of models. We discuss the implementation of the DQMC solver for CPT and benchmark the CPT+DQMC method for the attractive and repulsive Hubbard models, showcasing its advantages over standard DQMC and CPT+ED simulations.

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Section: Introductionmentioning

confidence: 99%

Determinantal Quantum Monte Carlo solver for Cluster Perturbation Theory

Huang¹,

Wang²

2021

Preprint

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Fermi surface reconstruction in underdoped cuprates: Origin of electron pockets

Ivantsov¹,

Ferraz²,

Kochetov³

2018

Phys. Rev. B

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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-

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