1997/01/09 by Alexey V. Onufriev, Alexey Onufriev, Onufriev, Alexey +2
Mathematics · Physics and Astronomy · #Coherence (philosophical gambling strategy) #Condensed matter physics #FOS: Physical sciences #Geometry #Mathematics #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Physics #Quantum #Quantum dot #Quantum mechanics #Semiconductor Quantum Structures and Devices #Symmetry (geometry) #Theoretical physics #cond-mat.mes-hall
paper · pdf · doi:10.48550/arxiv.cond-mat/9701059
8 pages, 7 EPS figures. Version to appear in Physical Review B
openalex publication_date 1997/01/09 · arxiv created 1999/02/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Enlarged symmetry characterized by the group SU(4) can be realized in isolated semiconducting quantum dots. A Hubbard model then describes a pillar array of coupled dots and at half-filling the system can be mapped onto an SU(4) spin chain. The physics of these new structures is rich as novel phases are attainable. The spins spontaneously dimerize and, by using the Density Matrix Renormalization Group (DMRG), we show that the dimer state is robust to perturbations which break SU(4) symmetry. We propose ways to experimentally verify the existence of the dimerized phase.