Scan calculation of the density of states: real space cluster perturbation theory applied to inhomogeneous Hubbard model in one dimension

Abstract

We present the spectral analysis of a one-dimensional Hubbard model with a parabolic potential, using a real-space cluster perturbation theory (rCPT) designed to study spatially inhomogeneous electron systems with strong correlation. It is a natural extension of the conventional CPT to inhomogeneous cases by computing local Green's functions while averaging over multiple cluster boundaries. We find that the local density of states of at each site mirrors that of a homogeneous system with the same local filling. This insight offers a perspective on spectral evolution in inhomogeneous systems used to scan the occupancy-dependent features of the homogeneous system, making this setup a practical one-shot spectroscopy tool for ultracold atoms in harmonic traps.

11pages 5figures

References in corpus (10)

• Many-Body Physics with Ultracold Gases
• Real time evolution using the density matrix renormalization group
• Variational cluster approach to correlated electron systems in low dimensions
• Variational cluster approach to spontaneous symmetry breaking: The itinerant antiferromagnet in two dimensions
• Ground State Phase Diagram of the $t$-$t^{\prime }$-$J$ model
• Mott transition in Kagomé lattice Hubbard model
• Variational cluster approach to the Hubbard model: Phase-separation tendency and finite-size effects
• Tensor-network study of correlation-spreading dynamics in the two-dimensional Bose-Hubbard model
• Fractionalization Signatures in the Dynamics of Quantum Spin Liquids
• Sine-square deformation applied to classical Ising models