Stripe State in the Lowest Landau Level

TL;DR

This paper investigates the stripe state in the lowest Landau level using DMRG, revealing it occurs only in systems with a width smaller than the magnetic length, through systematic energy and correlation calculations.

Contribution

It provides the first systematic DMRG analysis of stripe states in the lowest Landau level across various pseudopotentials.

Findings

Stripe state exists only in narrow systems

Ground state energy calculations confirm stripe stability

Pair correlation functions support stripe formation

Abstract

The stripe state in the lowest Landau level is studied by the density matrix renormalization group (DMRG) method. The ground state energy and pair correlation functions are systematically calculated for various pseudopotentials in the lowest Landau level. We show that the stripe state in the lowest Landau level is realized only in a system whose width perpendicular to the two-dimensional electron layer is smaller than the order of magnetic length.