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arXiv:cond-mat/9904096 · Physical Review Letters

New Quantum Phase between the Fermi Glass and the Wigner Crystal in Two Dimensions

Giuliano Benenti, Xavier Waintal, Jean‐Louis Pichard

Published Aug 30, 1999• 69 citations
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Abstract

For intermediate Coulomb energy to Fermi energy ratios ${r}_{s}$, spinless fermions in a random potential form a new quantum phase which is neither a Fermi glass, nor a Wigner crystal. Studying small clusters, we show that this phase gives rise to an ordered flow of enhanced persistent currents for disorder strength and ratios ${r}_{s}$, where a metallic phase has been recently observed in two dimensions.

DOI
10.1103/physrevlett.83.1826

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For intermediate Coulomb energy to Fermi energy ratios rs{r}_{s}rs​, spinless fermions in a random potential form a new quantum phase which is neither a Fermi glass, nor a Wigner crystal. Studying small clusters, we show that this phase gives rise to an ordered flow of enhanced persistent currents for disorder strength and ratios rs{r}_{s}rs​, where a metallic phase has been recently observed in two dimensions.
For intermediate Coulomb energy to Fermi energy ratios rsr_srs​, spinless fermions in a random potential form a new quantum phase which is different from the Fermi glass and the Wigner crystal. From a numerical study of small clusters, we show that this phase is characterized by an ordered flow of enhanced persistent currents and occurs for rsr_srs​ values where a metallic phase has been observed in two dimensions.
For intermediate Coulomb energy to Fermi energy ratios rsr_srs​, spinless fermions in a two-dimensional random potential form a new quantum phase, different from the Fermi glass (weakly interacting Anderson localized states) and the Wigner crystal (regular array of charges pinned by the disorder). The intermediate phase is characterized by an ordered flow of persistent currents with a typical value decreasing with excitation energy. Extending finite size scaling analysis to the many body ground state, we find that electron-electron interactions can drive the Fermi glass towards an intermediate metallic phase (Coulomb metal).
Abstract For intermediate Coulomb energy to Fermi energy ratios r s , spinless fermions in a two‐dimensional random potential form a new quantum phase, different from the Fermi glass (weakly interacting Anderson localized states) and the Wigner crystal (regular array of charges pinned by the disorder). The intermediate phase is characterized by an ordered flow of persistent currents with a typical value decreasing with excitation energy. Extending finite size scaling analysis to the many body ground state, we find that electron‐electron interactions can drive the Fermi glass towards an intermediate metallic phase (Coulomb metal).
The study of the ground state of spinless fermions in 2 d disordered clusters ( Phys. Rev. Lett. , 83 (1999) 1826) has suggested the existence of a new quantum phase for intermediate Coulomb energy to kinetic energy ratios r s . Exact diagonalization of the same small clusters shows that its low-energy excitations (quantum ergodicity above a few “hexatic” excitations characterized by oriented currents) significantly differ from those occurring in the Fermi glass (weak r s ) and in the pinned Wigner crystal (large r s ). The “hexatic” excitations vanish for temperatures of order of the Fermi temperature.
Extending the finite-size scaling theory to the many-body ground state, one finds that Coulomb repulsion can drive a system of spinless fermions in a random potential from the Anderson insulator (Fermi glass of localized states) towards a new extended phase in dimension d = 2. The transition occurs at a Coulomb energy to Fermi energy ratio r s ≈ 4, where a change in the nature of the persistent currents has been previously observed. Relevance to the recently observed 2 d metallic phase is suggested.