Vacuum pseudoscalar susceptibility

Chang, Lei; Liu, Yuxin; Roberts, C. D.; Shi, Yanmeng; Sun, Weimin; Zong, Hong-Shi

doi:10.1103/physrevc.81.032201

Cited by 51 publications

(66 citation statements)

References 33 publications

(47 reference statements)

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“…DMFT calculations, in particular, find SC within the weakly-doped single-band Hubbard model [145][146][147][148][149][150][151] . Yet quantum Monte Carlo (QMC) or path integral renormalization group (PIRG) calculations that have searched for long-range superconducting pair-pair correlations have consistently found suppression of superconducting pairpair correlations by repulsive Hubbard U in the same carrier concentration range [152][153][154][155][156][157] , casting doubt on the DMFT results. QMC calculations are mostly for relatively small Hubbard U (U ≤ 4|t|, where t is one-electron hopping).…”

Section: Methodsmentioning

confidence: 99%

Valence transition model of the pseudogap, charge order, and superconductivity in electron-doped and hole-doped copper oxides

Mazumdar

2018

Phys. Rev. B

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We present a valence transition model for electron-and hole-doped cuprates, within which there occurs a discrete jump in ionicity Cu 2+ → Cu 1+ in both families upon doping, at or near optimal doping in the conventionally prepared electron-doped compounds and at the pseudogap phase transition in the hole-doped materials. In thin films of the T compounds, the valence transition has occurred already in the undoped state. The phenomenology of the valence transition is closely related to that of the neutral-to-ionic transition in mixed-stack organic charge-transfer solids. Doped cuprates have negative charge-transfer gaps, just as rare earth nickelates and BaBiO3. The unusually high ionization energy of the closed shell Cu 1+ ion, taken together with the doping-driven reduction in three-dimensional Madelung energy and gain in two-dimensional delocalization energy in the negative charge transfer gap state drives the transition in the cuprates. The combined effects of strong correlations and small d − p electron hoppings ensure that the systems behave as effective 1 2 -filled Cu-band with the closed shell electronically inactive O 2− ions in the undoped state, and as correlated two-dimensional geometrically frustrated 1 4 -filled oxygen hole-band, now with electronically inactive closed-shell Cu 1+ ions, in the doped state. The model thus gives microscopic justification for the two-fluid models suggested by many authors. The theory gives the simplest yet most comprehensive understanding of experiments in the normal states. The robust commensurate antiferromagnetism in the conventional T crystals, the strong role of oxygen deficiency in driving superconductivity and charge carrier sign corresponding to holes at optimal doping are all manifestations of the same quantum state. In the hole-doped pseudogapped state, there occurs a biaxial commensurate period 4 charge density wave state consisting of O 1− -Cu 1+ -O 1− spin-singlets, that coexists with broken rotational C4 symmetry due to intraunit cell oxygen inequivalence. Finite domains of this broken symmetry state will exhibit two-dimensional chirality and the polar Kerr effect. Superconductivity within the model results from a destabilization of the 1 4 -filled band paired Wigner crystal [Phys. Rev. B 93, 165110 and 93, 205111]. We posit that a similar valence transition, Ir 4+ → Ir 3+ , occurs upon electron doping SrIr2O4. We make testable experimental predictions on cuprates including superoxygenated La2CuO 4+δ and iridates. Finally, as indirect evidence for the valence bond theory of superconductivity proposed here, we note that there exist an unusually large number of unconventional superconductors that exhibit superconductivity proximate to exotic charge ordered states, whose bandfillings are universally 1 4 or 3 4 , exactly where the paired Wigner crystal is most stable.

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Section: Methodsmentioning

confidence: 99%

Valence transition model of the pseudogap, charge order, and superconductivity in electron-doped and hole-doped copper oxides

Mazumdar

2018

Phys. Rev. B

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“…(21), treating σ as the implicit function of m, T, and eB, σ ¼ σðm; T; eBÞ, we can make partial differentiations of m, T, and eB and get the corresponding equations for the susceptibilities.…”

Section: Susceptibilities and Critical Coefficientsmentioning

confidence: 99%

“…In this formula, (rhs) represents the rhs of Eq. (21), and the partial differentiation of (rhs) only operates on parameter T but treats σ as a constant. The current mass is fixed to m ¼ 5.…”

Section: Susceptibilities and Critical Coefficientsmentioning

confidence: 99%

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Dynamical chiral symmetry breaking in the NJL model with a constant external magnetic field

et al. 2015

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In this paper, we develop a new method that is different from the Schwinger proper time method to deduce the fermion propagator with a constant external magnetic field. In the NJL model, we use this method to find the gap equation at zero and nonzero temperature and give the numerical results and phase diagram between the magnetic field and temperature. Additionally, we introduce the current mass to study the susceptibilities because there is a new parameter (the strength of the external magnetic field) in this problem. Corresponding to this new parameter, we define a new susceptibility χ B to compare with the other two susceptibilities χ c (chiral susceptibility) and χ T (thermal susceptibility). All three susceptibilities show that when the current mass is not zero, the phase transition is a crossover, while for comparison, in the chiral limit, the susceptibilities show a second order phase transition. Last, we give the critical coefficients of different susceptibilities in the chiral limit.

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“…By differentiating the dressed quark propagator with respect to the corresponding constant external field, the linear response of the nonperturbative dressed quark propagator to the constant external field can be obtained. Using this general method, we extract a rigorous and model-independent expression for the scalar, pseudoscalar, the vector, axial Vector, and the tensor vacuum Susceptibilities [25][26][27][28][29][30][31]. In this paper, we shall take the same strategy to study the staggered spin susceptibility in QED 3 .…”

Section: A Model-independent Integral Formula For the Staggered Smentioning

confidence: 99%

Influence of gauge boson mass on the staggered spin susceptibility

Feng-Yao

Cui

et al. 2014

Phys. Rev. D

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Based on the study of the linear response of the fermion propagator in the presence of an external scalar field, we calculate the staggered spin susceptibility in the low energy limit in the framework of the Dyson-Schwinger approach. We analyze the effect of a finite gauge boson mass on the staggered spin susceptibility in both Nambu phase and Wigner phase. It is found that the gauge boson mass suppresses the staggered spin susceptibility in Wigner phase. In addition, we try to give an explanation for why the antiferromagnetic spin correlation increases when the doping is lowered.Comment: 7 pages, 5 figures. arXiv admin note: text overlap with arXiv:1306.301

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Vacuum pseudoscalar susceptibility

Cited by 51 publications

References 33 publications

Valence transition model of the pseudogap, charge order, and superconductivity in electron-doped and hole-doped copper oxides

Valence transition model of the pseudogap, charge order, and superconductivity in electron-doped and hole-doped copper oxides

Dynamical chiral symmetry breaking in the NJL model with a constant external magnetic field

Influence of gauge boson mass on the staggered spin susceptibility

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