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arXiv:cond-mat/9812339

New state of the matter between the Fermi glass and the Wigner crystal in two dimensions

Giuliano Benenti, Xavier Waintal, Jean‐Louis Pichard

Published Dec 21, 1998• 0 citations
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Abstract

Spinless fermions with Coulomb interaction in a square disordered lattice form a new state of the matter which is nor a Fermi glass, neither a Wigner crystal for intermediate Coulomb interaction. From a numerical study of small clusters, we find that this new state occurs between the two critical carrier densities where insulator-metal-insulator transitions of a hole gas have been observed in GaAs.

DOI
10.48550/arxiv.cond-mat/9812339

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Spinless fermions with Coulomb interaction in a square disordered lattice form a new state of the matter which is nor a Fermi glass, neither a Wigner crystal for intermediate Coulomb interaction. From a numerical study of small clusters, we find that this new state occurs between the two critical carrier densities where insulator-metal-insulator transitions of a hole gas have been observed in GaAs.
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 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).
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.
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).
We consider a two-dimensional gas of spinless fermions with Coulomb and short-range interactions on a square lattice at T=0T=0T=0. Using the exact-diagonalization technique we study finite clusters up to 16 particles at filling factors $\ensuremath{\nu}=1/2$ and 1/6. By increasing the hopping amplitude we obtain the low-energy spectrum of the system in a wide range from the classical Wigner crystal to an almost free gas of fermions. Particular effort is made to study the mechanism of the structural and insulator-metal transitions. We show that both transitions are determined by the energy band of the defect with the lowest energy in the Wigner crystal.
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.