1997/03/17 by Yuli V. Nazarov, Alexander Khaetskii, A. V. Khaetskii · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Electron #Ground state #Josephson effect #Lattice (music) #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Quantum phase transition #Quantum phases #Skyrmion #Superconductivity #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevlett.80.576
published as Phys. Rev. Lett. 80, 576 (1998) · 4 pages REVTEX, 3 Postscript figures
arxiv created 1997/03/17 · openalex publication_date 1998/01/19 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We investigate the ground state of the 2D electron gas in the quantum Hall regime at a filling factory slightly deviating from unity, which can be viewed as a sparse lattice of Skyrmions. We have found that in the low density limit Skyrmions are bound in pairs, the latter forming an actual lattice. We have shown that with an increase in density the lattice undergoes a quantum phase transition, which is analogous to the superconducting phase transition in Josephson junction arrays.