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COLLECTIVE STATES OF 2D ELECTRON-HOLE SYSTEM UNDER THE INFLUENCE OF RASHBA SPIN-ORBIT COUPLING DUMANOV E., GHERCIU L. Institute of Applied Physics of the Academy of Sciences of Moldova Key words: magnetoexciton, Bose-Einstein condensation, electron-hole liquid This study is concerned with a two-dimensional (2D) electron–hole system in an ideal symmetric 2D layer in a strong perpendicular magnetic field with special attention devoted to the Rashba spin–orbit coupling. The electric field strength perpendicular to the layer surface gives rise to Rashba spin-orbit coupling (RSOC)[2]. The main results of the influence of spin-orbit coupling on the 2D Wannier-Mott excitons in double quantum well structures are breaking of the spin degeneracy of the electrons and holes, changes of the exciton structure, and new properties of the Bose-Einstein condensed excitons[3]. This influence on the chemical potential of the Bose–Einstein condensed magnetoexcitons and on the ground state energy of the metallic-type electron–hole liquid is investigated in the Hartree–Fock approximation. We have established that chemical potential is monotonic function versus the value of the filling factor with negative compressibility, which leads to instability of the Bose-Einstein condensate of magnetoexcitons. The magnetoexciton ground state energy, and the energy of the single-particle elementary excitations were obtained. The energy per one e–h pair inside the electron-hole droplets found to be situated on the energy scale lower than the value of the chemical potential of the Bose–Einstein condensed magnetoexcitons with wave vector k 0 calculated in the Hartree–Fock approximation. Therefore the electron–hole liquid state is more preferable than the Bose– Einstein condensed magnetoexcitons. . Our results well agree with the [1]. Indeed, if we make the limiting transition and put RSOC equal to zero which 2 2 2 2 means that the coefficients of RSOC will be a0 d 0 1 and b1 c3 0 , and consequently results exactly coincide with the results of Ref.[1]. References [1] S.A. Moskalenko, M.A. Liberman, D.W. Snoke, V. Botan, Phys. Rev. B, 66, 245316, (2002) [2] E.I. Rashba, Fiz. Tverd. Tela, 2, 1224, (1960) [Sov. Phys. Solid. State, 2, 1109 (1960)] [3] M.C. Ali and T. Hakioglu, Phys. Rev. Lett., 103, 086404, (2009)