The authors propose a new protocol for muhizzitem electronic auctions. It has the following advantages： first, the protocol is more applicable and flexible than the previous protocols, in this protocol, each bidder c...The authors propose a new protocol for muhizzitem electronic auctions. It has the following advantages： first, the protocol is more applicable and flexible than the previous protocols, in this protocol, each bidder can decide how many items to buy according to diiferent bidding prices, which are set by the seller at the beginning of the auction; second, privacy is well preserved, no third parties are needed in the protocol and the auction outcome is jointly computed by the bidders on their own without uncovering any additional information.展开更多
By extending the Levy wavefunction constrained search to Fock Space,one can define a wavefunction constrained search for electron densities in systems having noninteger number of electrons.For pure-state v-representab...By extending the Levy wavefunction constrained search to Fock Space,one can define a wavefunction constrained search for electron densities in systems having noninteger number of electrons.For pure-state v-representable densities,the results are equivalent to what one would obtain with the zero-temperature grand canonical ensemble.In other cases,the wavefunction constrained search in Fock space presents an upper bound to the grand canonical ensemble functional.One advantage of the Fock-space wavefunction constrained search functional over the zero-temperature grand-canonical ensemble constrained search functional is that certain specific excited states(i.e.,those that are not ground-statev-representable) are the stationary points of the Fock-space functional.However,a potential disadvantage of the Fock-space constrained search functional is that it is not convex.展开更多
Verification and validation of methods and first-principles software are at the core of computational solid-state physics but are too rarely addressed.We compare four first-principles codes:ABINIT,Quantum ESPRESSO,EPW...Verification and validation of methods and first-principles software are at the core of computational solid-state physics but are too rarely addressed.We compare four first-principles codes:ABINIT,Quantum ESPRESSO,EPW,ZG,and three methods:(i)the Allen-Heine-Cardona theory using density functional perturbation theory(DFPT),(ii)the Allen-Heine-Cardona theory using Wannier function perturbation theory(WFPT),and(iii)an adiabatic non-perturbative frozen-phonon method.For these cases,we compute the real and imaginary parts of the electron-phonon self-energy in diamond and BAs,including dipoles and quadrupoles when interpolating.We find excellent agreement between software that implements the same formalism as well as good agreement between the DFPT and WFPT methods.Importantly,we find that the Deybe-Waller term is momentum dependent which impacts the mass enhancement,yielding approximate results when using the Luttinger approximations.Finally,we compare the electron-phonon spectral functions between ABINIT and EPW and find excellent agreement even away from the band edges.展开更多
基金Supported bythe National Natural Science Foundationof China (90104035)
文摘The authors propose a new protocol for muhizzitem electronic auctions. It has the following advantages： first, the protocol is more applicable and flexible than the previous protocols, in this protocol, each bidder can decide how many items to buy according to diiferent bidding prices, which are set by the seller at the beginning of the auction; second, privacy is well preserved, no third parties are needed in the protocol and the auction outcome is jointly computed by the bidders on their own without uncovering any additional information.
文摘By extending the Levy wavefunction constrained search to Fock Space,one can define a wavefunction constrained search for electron densities in systems having noninteger number of electrons.For pure-state v-representable densities,the results are equivalent to what one would obtain with the zero-temperature grand canonical ensemble.In other cases,the wavefunction constrained search in Fock space presents an upper bound to the grand canonical ensemble functional.One advantage of the Fock-space wavefunction constrained search functional over the zero-temperature grand-canonical ensemble constrained search functional is that certain specific excited states(i.e.,those that are not ground-statev-representable) are the stationary points of the Fock-space functional.However,a potential disadvantage of the Fock-space constrained search functional is that it is not convex.
基金supported by the Fonds de la Recherche Scientifique-FNRS under Grants number T.0183.23(PDR)and T.W011.23(PDR-WEAVE)supported by the Walloon Region in the strategic axe FRFS-WEL-T.J.-M.L.and C.-H.P.acknowledge support from Korean-NRF No-2023R1A2C1007297+1 种基金Computational resources have been provided by the PRACE award granting access to MareNostrum4 at Barcelona Supercomputing Center(BSC),Spain and Discoverer in SofiaTech,Bulgaria(OptoSpin project id.2020225411)by the Consortium desÉquipements de Calcul Intensif(CÉCI),funded by the FRS-FNRS under Grant No.2.5020.11 and by the Walloon Region,as well as computational resources awarded on the Belgian share of the EuroHPC LUMI supercomputer.
文摘Verification and validation of methods and first-principles software are at the core of computational solid-state physics but are too rarely addressed.We compare four first-principles codes:ABINIT,Quantum ESPRESSO,EPW,ZG,and three methods:(i)the Allen-Heine-Cardona theory using density functional perturbation theory(DFPT),(ii)the Allen-Heine-Cardona theory using Wannier function perturbation theory(WFPT),and(iii)an adiabatic non-perturbative frozen-phonon method.For these cases,we compute the real and imaginary parts of the electron-phonon self-energy in diamond and BAs,including dipoles and quadrupoles when interpolating.We find excellent agreement between software that implements the same formalism as well as good agreement between the DFPT and WFPT methods.Importantly,we find that the Deybe-Waller term is momentum dependent which impacts the mass enhancement,yielding approximate results when using the Luttinger approximations.Finally,we compare the electron-phonon spectral functions between ABINIT and EPW and find excellent agreement even away from the band edges.
