Ground-state phase diagram of 2D electrons in a high landau level: A density-matrix renormalization group study

The ground-state phase diagram of 2D electrons in a high Landau level tinde r N = 2) is studied by the density-matrix renormalization group method. Pai r correlation functions ale systematically calculated for various filling f actors from nu = 1/8 to 1/2. It is shown that the ground-state phase diagra m consists of three different:charge density wave states called stripe phas e, bubble: phase, and Wigner crystal. The boundary between the stripe and t he bubble phases is determined to be nu (s-b)(c) similar to 0.38 and that f or the bubble phase and Wigner crystal is nu (b-W)(c) similar to 0.24. Each transition is of first order.