Possible charge instabilities in two-dimensional doped Mott insulators

Bejas, Matías; Greco, A.; Yamase, Hiroyuki

doi:10.1103/physrevb.86.224509

Cited by 61 publications

(122 citation statements)

References 100 publications

(180 reference statements)

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“…This result is consistent with that in Ref. 11. In contrast, T FL for the YBCO system is limited to a narrower The above results indicate that the flux phase may appear if the SC order is suppressed, e.g., near (110) surfaces, and it would lead to time-reversal symmetry breaking.…”

supporting

confidence: 92%

“…In this treatment, the SC and AF states are excluded, and it turned out that the flux phase is the leading instability even at high doping rates. 11) In this short note, we examine the metastability of the flux phase in the t − J model with long-range hopping terms (extended t − J model) using the SBMF approximation. For this purpose, we estimate the bare transition temperature of the flux phase, T FL , assuming the absence of the SC order.…”

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confidence: 99%

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Flux Phase as a Possible Ordered State in t–J Model

Kuboki

2014

J. Phys. Soc. Jpn.

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The competition between several kinds of ordered states is an important problem in strongly correlated electron systems. In high-temperature cuprate superconductors, antiferromagnetic (AF) and superconducting (SC) states can be realized depending on the doping rate (δ), and it has recently been found that, in multilayer cuprate systems, they can coexist uniformly in the same CuO 2 plane. 1)Whether ordered states other than the AF and SC states exist in cuprates is a subtle question concerning the pseudogap in the underdoped region. 2) Although a state that has a free energy higher than other states cannot occur in principle, there is a possibility that it can occur if the ordered state is suppressed. For example, the d x 2 −y 2 -wave SC order is strongly suppressed near a (110) surface so that other states forbidden in the bulk may arise. The flux phase in the t − J model can be such a state. 3, 4) It is not a stable phase but is energetically close to the SC state, and thus it may occur once the SC order is suppressed.The flux phase is a mean-field (MF) solution to the t − J model in which staggered circulating currents flow and the flux φ penetrates the plaquette in a square lattice. Near (away from) half-filling, φ = ±π (φ ±π) and the state is called the π-flux (staggered-flux) phase.The circulating current of the flux phase will be a staggered current flowing along the (110) surface with an amplitude decaying toward the bulk. This means that the time-reversal symmetry (T ) is broken locally near the surface, and it may explain the results of experiments that suggest T violation in cuprate superconductors. 5) (The d-density wave states, which have been introduced in a different context, have similar properties. 6) )Zhang examined the stability of the flux phase using the renormalized MF theory and found that it is unstable toward the d-wave SC instability at any finite doping rate. 7) Later, Hamada and Yoshioka 8) studied the problem based on the slave-boson (SB) MF approximation. 9, 10) Their results were essentially the same except that the flux phase may be stable *

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confidence: 92%

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confidence: 99%

Flux Phase as a Possible Ordered State in t–J Model

Kuboki

2014

J. Phys. Soc. Jpn.

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“…The t-J model treated in large-N expansions shows, at low doping and low temperature, tendencies to several kinds of instabilities, being the flux phase (FP) the leading one. [27][28][29] Below a transition temperature T F P the FP is developed and the translational symmetry broken. The FP can be associated to the d-CDW phase which was proposed phenomenologically for describing the PG phase in cuprates.…”

Section: 26mentioning

confidence: 99%

“…(5) D ab is a 6 × 6 matrix which contains contributions from the six different channels and their mixing. D ab describes all possible types of charge susceptibilities 29 and can be written as…”

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confidence: 99%

Self-energy effects in cuprates and the dome-shaped behavior of the superconducting critical temperature

et al. 2014

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Hole doped cuprates show a superconducting critical temperature Tc which follows an universal dome-shaped behavior as function of doping. It is believed that the origin of superconductivity in cuprates is entangled with the physics of the pseudogap phase. An open discussion is whether the source of superconductivity is the same that causes the pseudogap properties. The t-J model treated in large-N expansion shows d-wave superconductivity triggered by non-retarded interactions, and an instability of the paramagnetic state to a flux phase or d-wave charge density wave (d-CDW) state. In this paper we show that self-energy effects near d-CDW instability may lead to a dome-shaped behavior of Tc. In addition, it is also shown that these self-energy contributions may describe several properties observed in the pseudogap phase. In this picture, although fluctuations responsible for the pseudogap properties leads to a dome-shaped behavior, they are not involved in pairing which is mainly non-retarded.

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“…II A in Ref. 27, we here keep our presentation minimal. In the large-N approach, charge excitations with momentum q and bosonic Matsubara frequency ω n are described by a 6 × 6 bosonic propagator…”

Section: Model and Formalismmentioning

confidence: 99%

Charge-Density-Excitation Spectrum in the t–t′–J–V Model

2017

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We study the density-density correlation function in a large-N scheme of the t-t ′ -J-V model.When the nearest-neighbor Coulomb interaction V is zero, our model exhibits phase separation in a wide doping region and we obtain large spectral weight near momentum q = (0, 0) at low energy, which originates from the proximity to phase separation. These features are much stronger for electron doping than for hole doping. However, once phase separation is suppressed by including a finite V , the low-energy spectral weight around q = (0, 0) is substantially suppressed. Instead a sharp zero-sound mode is stabilized above the particle-hole continuum. We discuss that the presence of a moderate value of V , which is frequently neglected in the t-J model, is important to understand low-energy charge excitations especially close to q = (0, 0) for electron doping. This insight should be taken into account in a future study of x-ray scattering measurements.

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Possible charge instabilities in two-dimensional doped Mott insulators

Cited by 61 publications

References 100 publications

Flux Phase as a Possible Ordered State in t–J Model

Flux Phase as a Possible Ordered State in t–J Model

Self-energy effects in cuprates and the dome-shaped behavior of the superconducting critical temperature

Charge-Density-Excitation Spectrum in the t–t′–J–V Model

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