All posts under category "Condensed Matter / Cond-Mat.str-El"
In the context of statistical physics, Chandrasekharan and Wiese recently introduced the emph{fermionant} $Ferm_k$, a determinant-like quantity where each permutation $pi$ is weighted by $-k$ raised to the number of cycles in $pi$. We show that computing $Ferm_k$ is #P-hard under Turing reductions f
We study the $D$-dimensional high-density correlation energy $Ec$ of the singlet ground state of two electrons confined by a harmonic potential with Coulombic repulsion. We allow the harmonic potential to be anisotropic, and examine the behavior of $Ec$ as a function of the anisotropy $alpha^{-1}$.
We discuss alternative homogeneous electron gas systems in which a finite number $n$ of electrons are confined to a $D$-dimensional sphere. We derive the first few terms of the high-density ($r_sto0$, where $r_s$ is the Seitz radius) energy expansions for these systems and show that, in the thermody
An efficient low-order scaling method is presented for large-scale electronic structure calculations based on the density functional theory using localized basis functions, which directly computes selected elements of the density matrix by a contour integration of the Green function evaluated with a
We show that the recently developed phaseless auxiliary-field quantum Monte Carlo (AFQMC) method can be used to study excited states, providing an alternative to standard quantum chemistry methods. The phaseless AFQMC approach, whose computational cost scales as M^3-M^4 with system size M, has been
Two dimensional (2D) peak finding is a common practice in data analysis for physics experiments, which is typically achieved by computing the local derivatives. However, this method is inherently unstable when the local landscape is complicated, or the signal-to-noise ratio of the data is low. In th
We show that, in the high-density limit, restricted M{o}ller-Plesset (RMP) perturbation theory yields $E_{text{RMP}}^{(2)} = pi^{-2}(1-ln 2) ln r_s + O(r_s^0)$ for the correlation energy per electron in the uniform electron gas, where $r_s$ is the Seitz radius. This contradicts an earlier derivation
Ternary flavor mixtures of ultracold fermionic atoms in an optical lattice are studied in the case of equal, repulsive on-site interactions U>0. The corresponding SU(3) invariant Hubbard model is solved numerically exactly within dynamical mean-field theory using multigrid Hirsch-Fye quantum Monte C
We study a balanced two-component system of ultracold fermions in one dimension with attractive interactions and subject to a spin-dependent optical lattice potential of opposite sign for the two components. We find states with different types of modulated pairing order parameters which are conceptu
We propose a nonperturbative approach to nonabelian two-form gauge theory. We formulate the theory on a lattice in terms of plaquette as fundamental dynamical variable, and assign U(N) Chan-Paton colors at each boundary link. We show that, on hypercubic lattices, such colored plaquette variables con
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