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

Beyond-one-loop interaction of instantons with the finite-temperature quark plasma in QCD
RKKY interaction in anisotropic metals with impurities: degenerate Fermi-surface geometries, the strong-disorder regime, and the quasi-low-dimensional crossover
Extending the supercurrent-fluctuation theory of the cuprate pseudogap to interlayer Josephson coupling and the regime near the superconducting transition
Instantons in the quark plasma at finite temperature and quark chemical potential beyond the one-loop dilute instanton gas
Low-momentum strong-coupling electron and hole spectra of gapless semiconductors with strongly unequal masses ( $m_h\gg m_e$ )
Instantons in a confining bag volume: spinor propagator matrix elements, fermion zero modes, and the suppression of large instantons inside hadrons
Real-time thermal formalism on the true interacting thermal vacuum: interaction-induced complex-time singularities in the Matsubara contour deformation
FFLO-enhanced upper critical field in the extended saddle-point model: thermodynamic confirmation, quantitative cutoffs, and robustness of the nonuniform state remain undetermined
Impurity-driven odd-to-even parity transition of the superconducting order parameter in YBa2Cu3O7−δ: completing the quantitative theory and its low-temperature test
Complete the finite-temperature phase diagram of the commensurate spin-density-wave metal–insulator transition in layered cuprates: disorder effects, incommensurate competitors, and tricritical robustness
Integration of high-quality porous-silicon interference filters into silicon p+-n photodiodes with preserved diode operation
Why the scatter-to-primary ratio of photon beams in water follows $\mathrm{SPR}=aZ+bZ^{2}$ with $Z=rd/(r+d)$ : deriving the Bjärngard-Petti (1988) empirical law
Attributing coalescence events in evolving foams from time-sampled projection image sequences at marginal frame rates
Physical foundations of quantization by freezing the Grassmannian partners of time in the classical path integral: supertime interpretation, the origin of the identification $\Delta=\hbar$ , and the scope over observables
Electronic character of twin boundaries and the microscopic origin of twinning-plane superconductivity in cuprate high- $T_c$ superconductors
Instantons in cold dense quark matter: self-consistent medium back-reaction, the interacting many-instanton ensemble, and quantitative control beyond leading-logarithmic accuracy
Origin of the anomalously large superconducting gap ratio $2\Delta(0)/k_BT_c\approx 6$ in cuprates with an extended saddle-point singularity (Abrikosov, Campuzano and Gofron, 1993)
Point-limit triviality of local four-fermion interactions: the unanalyzed multi-field, regulator-class, gauge-consistent, and finite-mass cases
Is the linear c-axis magnetoresistance of underdoped YBa $_2$ Cu $_3$ O $_{6+δ}$ caused by quantum-limit suppression of resonant-tunneling coherence?
Microscopic foundation and realizability of the Suhl-Abrikosov mechanism: s-wave superconductivity mediated by ferromagnetically ordered localized spins
Finite-temperature longitudinal conductivity of a strongly localized quasi-one-dimensional metal in the quantum-phonon regime and the interchain-hopping crossover
Completing and testing Abrikosov's resonant interlayer tunneling scenario for the cuprate pseudogap: microscopic derivation, granular-phase dynamics, parameter determination, and experimental verification
First-principles microscopic determination of the quasiparticle interaction and scattering amplitude of normal liquid helium-3
Completing the curvilinear-coordinate formalism for instantons and multi-instantons: existence of the compensating gauge rotation, compact multi-instanton field strengths, and singularity effects on gauge-variant quantities

返回开放问题

Beyond-one-loop interaction of instantons with the finite-temperature quark plasma in QCD

RKKY interaction in anisotropic metals with impurities: degenerate Fermi-surface geometries, the strong-disorder regime, and the quasi-low-dimensional crossover

Extending the supercurrent-fluctuation theory of the cuprate pseudogap to interlayer Josephson coupling and the regime near the superconducting transition

Instantons in the quark plasma at finite temperature and quark chemical potential beyond the one-loop dilute instanton gas

Low-momentum strong-coupling electron and hole spectra of gapless semiconductors with strongly unequal masses (mh≫mem_h\gg m_emh​≫me​)

Instantons in a confining bag volume: spinor propagator matrix elements, fermion zero modes, and the suppression of large instantons inside hadrons

Real-time thermal formalism on the true interacting thermal vacuum: interaction-induced complex-time singularities in the Matsubara contour deformation

FFLO-enhanced upper critical field in the extended saddle-point model: thermodynamic confirmation, quantitative cutoffs, and robustness of the nonuniform state remain undetermined

Impurity-driven odd-to-even parity transition of the superconducting order parameter in YBa2Cu3O7−δ: completing the quantitative theory and its low-temperature test

Complete the finite-temperature phase diagram of the commensurate spin-density-wave metal–insulator transition in layered cuprates: disorder effects, incommensurate competitors, and tricritical robustness

Integration of high-quality porous-silicon interference filters into silicon p+-n photodiodes with preserved diode operation

Why the scatter-to-primary ratio of photon beams in water follows SPR=aZ+bZ2\mathrm{SPR}=aZ+bZ^{2}SPR=aZ+bZ2 with Z=rd/(r+d)Z=rd/(r+d)Z=rd/(r+d): deriving the Bjärngard-Petti (1988) empirical law

Attributing coalescence events in evolving foams from time-sampled projection image sequences at marginal frame rates

Physical foundations of quantization by freezing the Grassmannian partners of time in the classical path integral: supertime interpretation, the origin of the identification Δ=ℏ\Delta=\hbarΔ=ℏ, and the scope over observables

Electronic character of twin boundaries and the microscopic origin of twinning-plane superconductivity in cuprate high-TcT_cTc​ superconductors

Instantons in cold dense quark matter: self-consistent medium back-reaction, the interacting many-instanton ensemble, and quantitative control beyond leading-logarithmic accuracy

Origin of the anomalously large superconducting gap ratio 2Δ(0)/kBTc≈62\Delta(0)/k_BT_c\approx 62Δ(0)/kB​Tc​≈6 in cuprates with an extended saddle-point singularity (Abrikosov, Campuzano and Gofron, 1993)

Point-limit triviality of local four-fermion interactions: the unanalyzed multi-field, regulator-class, gauge-consistent, and finite-mass cases

Is the linear c-axis magnetoresistance of underdoped YBa2_22​Cu3_33​O6+δ_{6+δ}6+δ​ caused by quantum-limit suppression of resonant-tunneling coherence?

Microscopic foundation and realizability of the Suhl-Abrikosov mechanism: s-wave superconductivity mediated by ferromagnetically ordered localized spins

Finite-temperature longitudinal conductivity of a strongly localized quasi-one-dimensional metal in the quantum-phonon regime and the interchain-hopping crossover

Completing and testing Abrikosov's resonant interlayer tunneling scenario for the cuprate pseudogap: microscopic derivation, granular-phase dynamics, parameter determination, and experimental verification

First-principles microscopic determination of the quasiparticle interaction and scattering amplitude of normal liquid helium-3

Completing the curvilinear-coordinate formalism for instantons and multi-instantons: existence of the compensating gauge rotation, compact multi-instanton field strengths, and singularity effects on gauge-variant quantities

Low-momentum strong-coupling electron and hole spectra of gapless semiconductors with strongly unequal masses ( $m_h\gg m_e$ )

Why the scatter-to-primary ratio of photon beams in water follows $\mathrm{SPR}=aZ+bZ^{2}$ with $Z=rd/(r+d)$ : deriving the Bjärngard-Petti (1988) empirical law

Physical foundations of quantization by freezing the Grassmannian partners of time in the classical path integral: supertime interpretation, the origin of the identification $\Delta=\hbar$ , and the scope over observables

Electronic character of twin boundaries and the microscopic origin of twinning-plane superconductivity in cuprate high- $T_c$ superconductors

Origin of the anomalously large superconducting gap ratio $2\Delta(0)/k_BT_c\approx 6$ in cuprates with an extended saddle-point singularity (Abrikosov, Campuzano and Gofron, 1993)

Is the linear c-axis magnetoresistance of underdoped YBa $_2$ Cu $_3$ O $_{6+δ}$ caused by quantum-limit suppression of resonant-tunneling coherence?