4 papers
Short-range charge fluctuations in the two-dimensional Hubbard model
Xinyang Dong, Emanuel Gull
We investigate charge fluctuations in the two-dimensional Hubbard model as a function of doping, interaction strength, next-nearest-neighbor hopping, and temperature within the eig…
Legendre-spectral Dyson equation solver with super-exponential convergence
Xinyang Dong, Dominika Zgid, Emanuel Gull +1
Quantum many-body systems in thermal equilibrium can be described by the imaginary time Green's function formalism. However, the treatment of large molecular or solid ab inito prob…
The Hartree equation with a constant magnetic field: Well-posedness theory
Xin Dong
We consider the Hartree equation for infinitely many electrons with a constant external magnetic field. For the system, we show a local well-posedness result when the initial data…
Dynamical Charge Susceptibility in the Hubbard Model
Xinyang Dong, Xi Chen, Emanuel Gull
We compute the dynamical charge susceptibility in the two-dimensional Hubbard model within the dynamical cluster approximation. In order to understand the connection between charge…