Scientists / Open questions

Philip W. Anderson

Condensed matter physics; disorder; localization

1977 Nobel Prize in Physics

14 questions

Correlation corrections to effective Hückel parameters and π-electron excitation spectra of conjugated hydrocarbons: the Anderson–Linderberg–Öhrn adjudication
Low-energy Green's function of the Gutzwiller-projected Kondo lattice: power-law form, exponent, and spectroscopic test of the non-Fermi-liquid heavy Fermi sea
Interlayer-induced spinon pairing and the microscopic origin of the normal-state spin gap in underdoped cuprate superconductors
Anderson's self-consistent pseudopotential program for energy bands: optimal outer Hamiltonian, controlled localization tails, and a weak-perturbative regime for all bands of interest
Quantitative theory of $T_c$ and the spin-gap-to-superconductivity conversion in the cuprates within the spin-charge-separated (RVB) kinetic-energy-recovery framework
Insulating-interlayer enhancement of giant magneto-impedance in electroless CuBe/insulator/CoNiP composite wires: mechanism and impedance-permeability conversion
Mechanism, microscopic formalism, and d-wave quasiparticle spectrum of the superconducting transition in the charge-spin separated scenario for the cuprates (Anderson, 2000)
Completing the spin-charge-separated (spinon–holon) theory of the cuprate normal and superconducting states: $2k_F$ holon kinematics, anomalous exponent, spin and charge gaps, statistics, Hall/Raman/NMR responses, and the interlayer-tunneling estimate of $T_c$
Microscopic determination of the hole-motion-renormalized exchange $J_{\mathrm{eff}}=J-Ktx$ , its chiral loop terms, and the fate of the flux/ $s+id$ RVB pseudogap state in the doped cuprate Mott insulator
Microscopic derivation of the anomalous-exponent non-Fermi-liquid spectral function underlying interlayer Josephson tunneling in layered cuprates
Completing the localization theory of the disordered random lattice: the marginal dipolar regime, extended states and quantum diffusion at weak disorder, and coupling to external reservoirs
Singular forward scattering and the renormalized Bethe ansatz ground state of the two-dimensional Hubbard model
Classical localization of waves in three-dimensional disordered media: the mobility edge, the required dielectric contrast, and critical behavior (the 'white paint' problem)
Open questions of the two-dimensional Luttinger liquid from forward-scattering phase shifts (fractional statistics without anyons)

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Correlation corrections to effective Hückel parameters and π-electron excitation spectra of conjugated hydrocarbons: the Anderson–Linderberg–Öhrn adjudication

Low-energy Green's function of the Gutzwiller-projected Kondo lattice: power-law form, exponent, and spectroscopic test of the non-Fermi-liquid heavy Fermi sea

Interlayer-induced spinon pairing and the microscopic origin of the normal-state spin gap in underdoped cuprate superconductors

Anderson's self-consistent pseudopotential program for energy bands: optimal outer Hamiltonian, controlled localization tails, and a weak-perturbative regime for all bands of interest

Quantitative theory of TcT_cTc​ and the spin-gap-to-superconductivity conversion in the cuprates within the spin-charge-separated (RVB) kinetic-energy-recovery framework

Insulating-interlayer enhancement of giant magneto-impedance in electroless CuBe/insulator/CoNiP composite wires: mechanism and impedance-permeability conversion

Mechanism, microscopic formalism, and d-wave quasiparticle spectrum of the superconducting transition in the charge-spin separated scenario for the cuprates (Anderson, 2000)

Completing the spin-charge-separated (spinon–holon) theory of the cuprate normal and superconducting states: 2kF2k_F2kF​ holon kinematics, anomalous exponent, spin and charge gaps, statistics, Hall/Raman/NMR responses, and the interlayer-tunneling estimate of TcT_cTc​

Microscopic determination of the hole-motion-renormalized exchange Jeff=J−KtxJ_{\mathrm{eff}}=J-KtxJeff​=J−Ktx, its chiral loop terms, and the fate of the flux/s+ids+ids+id RVB pseudogap state in the doped cuprate Mott insulator

Microscopic derivation of the anomalous-exponent non-Fermi-liquid spectral function underlying interlayer Josephson tunneling in layered cuprates

Completing the localization theory of the disordered random lattice: the marginal dipolar regime, extended states and quantum diffusion at weak disorder, and coupling to external reservoirs

Singular forward scattering and the renormalized Bethe ansatz ground state of the two-dimensional Hubbard model

Classical localization of waves in three-dimensional disordered media: the mobility edge, the required dielectric contrast, and critical behavior (the 'white paint' problem)

Open questions of the two-dimensional Luttinger liquid from forward-scattering phase shifts (fractional statistics without anyons)

Quantitative theory of $T_c$ and the spin-gap-to-superconductivity conversion in the cuprates within the spin-charge-separated (RVB) kinetic-energy-recovery framework

Completing the spin-charge-separated (spinon–holon) theory of the cuprate normal and superconducting states: $2k_F$ holon kinematics, anomalous exponent, spin and charge gaps, statistics, Hall/Raman/NMR responses, and the interlayer-tunneling estimate of $T_c$

Microscopic determination of the hole-motion-renormalized exchange $J_{\mathrm{eff}}=J-Ktx$ , its chiral loop terms, and the fate of the flux/ $s+id$ RVB pseudogap state in the doped cuprate Mott insulator