The t‐U‐V‐J model in cuprates: Strengths of the interactions

Koinov, Zlatko

doi:10.1002/andp.201200007

Annalen der Physik

2012

DOI: 10.1002/andp.201200007

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The t‐U‐V‐J model in cuprates: Strengths of the interactions

Zlatko Koinov

Abstract: The t -U -V -J model fits together three major parts of the superconductivity puzzle of the cuprite compounds: (i) it describes the opening of a d-wave pairing gap, (ii) it is consistent with the fact that the basic pairing mechanism arises from the antiferromagnetic exchange correlations, and (iii) it takes into account the charge fluctuations associated with double occupancy of a site which play an essential role in doped systems. The strengths of the interactions U , V and J in YBa 2 Cu 3 O 6.7 and La 2−x S… Show more

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“…To understand the influence of strong electronic correlations, fundamental models such as the Hubbard and the

t - J

model have been studied intensively, see and references given therein. These simple models contain terms representing hopping (

t_{i j}

) of electrons between sites of the lattice and their on‐site Hubbard repulsive interaction

U > 0

.…”

mentioning

confidence: 99%

“…Recently, the strengths of interaction have been determined for some cuprates ( YBaCuO, LaSrCuO ) within the t‐U‐V‐J model . The extended Hubbard Hamiltonian, Eq.…”

mentioning

confidence: 99%

“…Coming back to the

t - U - J - V

model , the empirical determination of the parameters of a purely electronic Hamiltonian

H_{e}

can reproduce some experimental facts, but the microscopic origin of these interaction terms remains unclear. In particular, the ad hoc introduction of the V term may mimic the electron‐lattice interaction.…”

mentioning

confidence: 99%

“…In particular, the ad hoc introduction of the V term may mimic the electron‐lattice interaction. Also the ab initio calculation of parameters like U is not discussed in so that the origin of high‐temperature superconductivity remains nature's great puzzle.…”

mentioning

confidence: 99%

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High‐temperature superconductivity: electron correlations and anharmonic lattice dynamics

Röpke¹

2013

Annalen der Physik

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Despite intensive efforts for more than a quarter century investigating high-temperature superconductivity in cuprates and related substances, no universally accepted theory exists about the microscopic pairing mechanism. Various experimental findings are explained by different theories. No consensus is achieved whether strong electronic correlations play a key role, or the electronphonon interaction is strong and crucial for high-temperature superconductivity.Some key findings for the phenomenon of high-temperature superconductivity in cuprates are the existence of two-dimensional layered CuO 2 structures. The electron system is strongly correlated. In the normal state, these systems shows antiferromagnetic exchange correlations at low doping and anomalous behavior of transport properties. There are strong doping effects on the critical temperature T c for the onset of superconductivity and other properties. A d-wave pairing symmetry has been observed, also the occurrence of a d-wave like pseudogap in the single particle excitation spectrum below another critical temperature T * . In contrast to normal superconductors, the coherence length in high-temperature superconductors is very short. Isotope effects are established when 16 O is replaced by 18 O that depend strongly Figure 1 (online color at: www.ann-phys.org) CuO 2 electronic structure and pseudogap states. a) Schematic of the spatial arrangements of CuO 2 electronic structure with Cu sites and d x 2 −y 2 orbitals indicated in blue and O sites and 2 ps orbitals in yellow. The inset shows the approximate energetics of the band structure when such a charge-transfer insulator is doped by removing electrons from the O atoms (the respective bands are indicated by the same colors as in the CuO 2 schematic). E F is the Fermi energy. b) Schematic copper-oxide phase diagram. Here T c is the critical temperature circumscribing a 'dome' of superconductivity, T φ is the maximum temperature at which phase fluctuations are detectable within the pseudogap phase, and T * is the approximate temperature at which the pseudogap phenomenology first appears. From [2] on doping. Many other properties are measured.To understand the influence of strong electronic correlations, fundamental models such as the Hubbard and the t − J model have been studied intensively, see [1] and references given therein. These simple models contain terms representing hopping (t i j ) of electrons between sites of the lattice and their on-site Hubbard repulsive interaction U > 0. A spin-dependent Heisenberg near-neighbor antiferromagnetic exchange interaction is described by the parameter J . Within the t − U − V − J model, a short-range spin independent attractive interaction V between the tight-binding electrons on the near-neighbor sites of the lattice is introduced in a phenomenological way to stabilize the d-wave pairing.Recently, the strengths of interaction have been determined for some C

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“…To understand the influence of strong electronic correlations, fundamental models such as the Hubbard and the

t - J

model have been studied intensively, see and references given therein. These simple models contain terms representing hopping (

t_{i j}

) of electrons between sites of the lattice and their on‐site Hubbard repulsive interaction

U > 0

.…”

mentioning

confidence: 99%

“…Recently, the strengths of interaction have been determined for some cuprates ( YBaCuO, LaSrCuO ) within the t‐U‐V‐J model . The extended Hubbard Hamiltonian, Eq.…”

mentioning

confidence: 99%

“…Coming back to the

t - U - J - V

model , the empirical determination of the parameters of a purely electronic Hamiltonian

H_{e}

mentioning

confidence: 99%

mentioning

confidence: 99%

See 2 more Smart Citations

High‐temperature superconductivity: electron correlations and anharmonic lattice dynamics

Röpke¹

2013

Annalen der Physik

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Speed of Sound of a Spin-Balanced Fermi Gas with s- and d-Wave Pairings Across the BCS–BEC Evolution

Koinov

Mendoza

2016

J Low Temp Phys

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The authors of a recent paper (PRA 87, 013613 (2013)) argued that in fermionic systems with d-wave pairing the speed of sound is nonanalytic across the BCS-BEC crossover at the point where the chemical potential vanishes, regardless of the specific details of the interaction potential. On the contrary, the numerical results reported here suggest that the speed of sound across the BCS-BEC evolution of atomic Fermi gases with s-and d-wave pairings in two-dimensional square lattices is a smooth analytic function at the vanishing chemical potential. PACS numbers: 03.75.Ss, 05.30.Fk, 67.85.Lm, 74.20.Fg m,m , (15) N 1×16 = J 1,0 γ,m , J 2,0 γ,m , J 3,0 γ,m , J 4,0 γ,m , I 1,0 l,m , I 2,0 l,m , I 3,0 l,m , I 4,0 l,m , J 1,0 γ,m , J 2,0 γ,m , J 3,0 γ,m , J 4,0 γ,m , I 1,0 m,m , I 2,0 m,m , I 3,0 m,m , I 4,0 m,m .

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The t‐U‐V‐J model in cuprates: Strengths of the interactions

Cited by 2 publications

References 63 publications

High‐temperature superconductivity: electron correlations and anharmonic lattice dynamics

High‐temperature superconductivity: electron correlations and anharmonic lattice dynamics

Speed of Sound of a Spin-Balanced Fermi Gas with s- and d-Wave Pairings Across the BCS–BEC Evolution

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