Scientists / Open questions

阿列克谢·阿布里科索夫

Alexei Abrikosov

凝聚态物理、超导理论

2003 年诺贝尔物理学奖

56 个问题

Quantitative cluster statistics and field-dependent thermodynamics in the percolation model of the dilute RKKY spin glass: the cluster-size distribution $A(n,\varepsilon)$ , the multidomain net-spin distribution $B(m,n)$ , and the predicted cusps of $\partial^2 M/\partial h^2$
Microscopic validity of coherent resonant tunneling through localized interlayer states in high- $T_c$ cuprates: decoherence, eigenvalue scatter, finite-range potentials, and disorder
Compensating-connection construction of instantons in curvilinear coordinates: extension to the general ADHM sector
Open problems in the world-sheet vortex description of compactified strings: beyond the dipole approximation, the fixing of the compactification radius, and the nature of the Hagedorn transition
Microscopic theory of in-plane resistivity in the cuprate pseudogap state: deriving the domain size law, transport through an assembly of superconducting domains and normal boundaries, and the doping and disorder dependence of the parameters $b$ , $\rho_0$ , and $T^*$
Metallic-excitonium superconductivity: completing the microscopic theory and establishing whether a crystallized heavy-hole excitonic phase can superconduct in any real narrow-gap material
Impurity back-action, inelastic scattering, and finite-size transport in the disordered one-dimensional Peierls conductor: the unresolved questions of the Abrikosov–Dorotheyev model
Superconductivity in a quasi-one-dimensional metal with impurities beyond the ladder approximation: parquet renormalization with disorder, impurity-dressed kernels, disordered dielectric response, and the localization-pairing competition
Quantitative confrontation of Abrikosov's extended saddle-point, weak-screening phonon model of cuprate superconductivity with real materials
Microscopic pressure-composition map and electron-electron interaction effects at the L-point gapless state of bismuth-type semimetals
Exact statistics of the resistance of disordered one-dimensional conductors beyond the Born approximation: the open core of Abrikosov's static-conductivity paradox
Microscopic determination of the Coulomb singular domain in gapless semiconductors of the second kind (three-dimensional quadratic band touching): scaling exponents, scaling functions, and conditions for experimental realization
Microscopic origin of the normal-state pseudogap in the c-axis optical conductivity of underdoped YBa2Cu3Ox: confirming or excluding resonant-defect tunneling against competing mechanisms
Self-consistent microscopic foundation of the weakly screened Coulomb interaction in extended-saddle-point layered cuprates (open issues from Abrikosov, 1994)
Quantitative completion and experimental test of Abrikosov's spin-glass theory for semiconductor hosts: the $y\sim1$ regime, realistic band structure, commensuration and dipolar crossovers, and dilute Eu $_x$ Sr $_{1-x}$ S data
Critical behavior of the percolation transition and low-temperature corrections in the Abrikosov-Moukhin short-range damped-RKKY spin glass
Completing the resonant-tunneling theory of c-axis conductivity and interlayer superconductivity in YBa2Cu3Ox versus oxygen content: chain-structure origin of the resonant centers, the extremes of x, anisotropic in-plane structure, and a predictive J_c
Unresolved validation program for Abrikosov's single-Landau-band quantum magnetoresistance mechanism in layered semimetals
Pairing channel and microscopic coupling constants for the magnetic-field-induced excitonic-insulator transition of a bismuth-type semimetal
Physical meaning of the Grassmann partners of time and the universal supertime symmetries lost in quantization
Exciton formation in semimetals in extremely high magnetic fields: the quantitative theory beyond the leading-logarithmic parquet approximation
The Galactic silicate carbon star census and origin: resolving ambiguous candidate identifications and establishing or refuting the binary oxygen-rich-reservoir model
Quantitative test of the extended-saddle-point Fermi-liquid mechanism for the fine structure of the neutron spin resonance in high-temperature superconducting cuprates
Universality of the integral form of Atiyah–Patodi–Singer boundary conditions: the projector–propagator identity beyond the spherical bag

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Microscopic validity of coherent resonant tunneling through localized interlayer states in high-TcT_cTc​ cuprates: decoherence, eigenvalue scatter, finite-range potentials, and disorder

Compensating-connection construction of instantons in curvilinear coordinates: extension to the general ADHM sector

Open problems in the world-sheet vortex description of compactified strings: beyond the dipole approximation, the fixing of the compactification radius, and the nature of the Hagedorn transition

Microscopic theory of in-plane resistivity in the cuprate pseudogap state: deriving the domain size law, transport through an assembly of superconducting domains and normal boundaries, and the doping and disorder dependence of the parameters bbb, ρ0\rho_0ρ0​, and T∗T^*T∗

Metallic-excitonium superconductivity: completing the microscopic theory and establishing whether a crystallized heavy-hole excitonic phase can superconduct in any real narrow-gap material

Impurity back-action, inelastic scattering, and finite-size transport in the disordered one-dimensional Peierls conductor: the unresolved questions of the Abrikosov–Dorotheyev model

Superconductivity in a quasi-one-dimensional metal with impurities beyond the ladder approximation: parquet renormalization with disorder, impurity-dressed kernels, disordered dielectric response, and the localization-pairing competition

Quantitative confrontation of Abrikosov's extended saddle-point, weak-screening phonon model of cuprate superconductivity with real materials

Microscopic pressure-composition map and electron-electron interaction effects at the L-point gapless state of bismuth-type semimetals

Exact statistics of the resistance of disordered one-dimensional conductors beyond the Born approximation: the open core of Abrikosov's static-conductivity paradox

Microscopic determination of the Coulomb singular domain in gapless semiconductors of the second kind (three-dimensional quadratic band touching): scaling exponents, scaling functions, and conditions for experimental realization

Microscopic origin of the normal-state pseudogap in the c-axis optical conductivity of underdoped YBa2Cu3Ox: confirming or excluding resonant-defect tunneling against competing mechanisms

Self-consistent microscopic foundation of the weakly screened Coulomb interaction in extended-saddle-point layered cuprates (open issues from Abrikosov, 1994)

Quantitative completion and experimental test of Abrikosov's spin-glass theory for semiconductor hosts: the y∼1y\sim1y∼1 regime, realistic band structure, commensuration and dipolar crossovers, and dilute Eux_xx​Sr1−x_{1-x}1−x​S data

Critical behavior of the percolation transition and low-temperature corrections in the Abrikosov-Moukhin short-range damped-RKKY spin glass

Completing the resonant-tunneling theory of c-axis conductivity and interlayer superconductivity in YBa2Cu3Ox versus oxygen content: chain-structure origin of the resonant centers, the extremes of x, anisotropic in-plane structure, and a predictive J_c

Unresolved validation program for Abrikosov's single-Landau-band quantum magnetoresistance mechanism in layered semimetals

Pairing channel and microscopic coupling constants for the magnetic-field-induced excitonic-insulator transition of a bismuth-type semimetal

Physical meaning of the Grassmann partners of time and the universal supertime symmetries lost in quantization

Exciton formation in semimetals in extremely high magnetic fields: the quantitative theory beyond the leading-logarithmic parquet approximation

The Galactic silicate carbon star census and origin: resolving ambiguous candidate identifications and establishing or refuting the binary oxygen-rich-reservoir model

Quantitative test of the extended-saddle-point Fermi-liquid mechanism for the fine structure of the neutron spin resonance in high-temperature superconducting cuprates

Universality of the integral form of Atiyah–Patodi–Singer boundary conditions: the projector–propagator identity beyond the spherical bag

Microscopic validity of coherent resonant tunneling through localized interlayer states in high- $T_c$ cuprates: decoherence, eigenvalue scatter, finite-range potentials, and disorder

Microscopic theory of in-plane resistivity in the cuprate pseudogap state: deriving the domain size law, transport through an assembly of superconducting domains and normal boundaries, and the doping and disorder dependence of the parameters $b$ , $\rho_0$ , and $T^*$

Quantitative completion and experimental test of Abrikosov's spin-glass theory for semiconductor hosts: the $y\sim1$ regime, realistic band structure, commensuration and dipolar crossovers, and dilute Eu $_x$ Sr $_{1-x}$ S data