Signatures of Wigner localization in one-dimensional systems

被引:21
作者
Diaz-Marquez, Alejandro [1 ]
Battaglia, Stefano [1 ,2 ]
Bendazzoli, Gian Luigi [3 ]
Evangelisti, Stefano [1 ]
Leininger, Thierry [1 ]
Berger, J. A. [1 ,4 ]
机构
[1] Univ Toulouse, CNRS, UPS, Lab Chim & Phys Quant,IRSAMC, F-31062 Toulouse, France
[2] Univ Perugia, Dipartimento Chim Biol & Biotecnol, Via Elce Sotto 8, I-06123 Perugia, Italy
[3] Univ Bologna, Viale Risorgimento 4, I-40136 Bologna, Italy
[4] European Theoret Spect Facil, Louvain, Belgium
关键词
ELECTRON-GAS; NONDYNAMIC CORRELATION; CORRELATION-ENERGY; INSULATING STATE; POLARIZATION; COMPONENTS; SEPARATION; ALGORITHM; SPREAD; MODEL;
D O I
10.1063/1.5017118
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
We propose a simple and efficient approach to study Wigner localization in one-dimensional systems using ab initio theory. In particular, we propose a suitable basis for the study of localization which consists of equally spaced overlapping gaussians. We illustrate our approach with full-configuration interaction which yields exact results for a given basis set. With our approach, we were able to study up to 8 electrons with full-configuration interaction. Finally, we propose the total-position spread tensor and the total electron entropy as convenient quantities to obtain signatures of Wigner localization. Published by AIP Publishing.
引用
收藏
页数:7
相关论文
共 50 条
[1]   The Dalton quantum chemistry program system [J].
Aidas, Kestutis ;
Angeli, Celestino ;
Bak, Keld L. ;
Bakken, Vebjorn ;
Bast, Radovan ;
Boman, Linus ;
Christiansen, Ove ;
Cimiraglia, Renzo ;
Coriani, Sonia ;
Dahle, Pal ;
Dalskov, Erik K. ;
Ekstrom, Ulf ;
Enevoldsen, Thomas ;
Eriksen, Janus J. ;
Ettenhuber, Patrick ;
Fernandez, Berta ;
Ferrighi, Lara ;
Fliegl, Heike ;
Frediani, Luca ;
Hald, Kasper ;
Halkier, Asger ;
Hattig, Christof ;
Heiberg, Hanne ;
Helgaker, Trygve ;
Hennum, Alf Christian ;
Hettema, Hinne ;
Hjertenaes, Eirik ;
Host, Stinne ;
Hoyvik, Ida-Marie ;
Iozzi, Maria Francesca ;
Jansik, Branislav ;
Jensen, Hans Jorgen Aa. ;
Jonsson, Dan ;
Jorgensen, Poul ;
Kauczor, Joanna ;
Kirpekar, Sheela ;
Kjrgaard, Thomas ;
Klopper, Wim ;
Knecht, Stefan ;
Kobayashi, Rika ;
Koch, Henrik ;
Kongsted, Jacob ;
Krapp, Andreas ;
Kristensen, Kasper ;
Ligabue, Andrea ;
Lutnaes, Ola B. ;
Melo, Juan I. ;
Mikkelsen, Kurt V. ;
Myhre, Rolf H. ;
Neiss, Christian .
WILEY INTERDISCIPLINARY REVIEWS-COMPUTATIONAL MOLECULAR SCIENCE, 2014, 4 (03) :269-284
[2]   Spin-charge separation and localization in one dimension [J].
Auslaender, OM ;
Steinberg, H ;
Yacoby, A ;
Tserkovnyak, Y ;
Halperin, BI ;
Baldwin, KW ;
Pfeiffer, LN ;
West, KW .
SCIENCE, 2005, 308 (5718) :88-92
[3]   Effective interaction for charge carriers confined in quasi-one-dimensional nanostructures [J].
Bednarek, S ;
Szafran, B ;
Chwiej, T ;
Adamowski, J .
PHYSICAL REVIEW B, 2003, 68 (04)
[4]   Asymptotic analysis of the localization spread and polarizability of 1-D noninteracting electrons [J].
Bendazzoli, Gian Luigi ;
Evangelisti, Stefano ;
Monari, Antonio .
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 2012, 112 (03) :653-664
[5]   Full-Configuration-Interaction Study of the Metal-Insulator Transition in a Model System: Hn Linear Chains (n=4, 6, ..., 16) [J].
Bendazzoli, Gian Luigi ;
Evangelisti, Stefano ;
Monari, Antonio .
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 2011, 111 (13) :3416-3423
[6]   Kohn's localization in the insulating state: One-dimensional lattices, crystalline versus disordered [J].
Bendazzoli, Gian Luigi ;
Evangelisti, Stefano ;
Monari, Antonio ;
Resta, Raffaele .
JOURNAL OF CHEMICAL PHYSICS, 2010, 133 (06)
[7]   A VECTOR AND PARALLEL FULL CONFIGURATION-INTERACTION ALGORITHM [J].
BENDAZZOLI, GL ;
EVANGELISTI, S .
JOURNAL OF CHEMICAL PHYSICS, 1993, 98 (04) :3141-3150
[8]  
Brooke L., LOCALIZED ELEC UNPUB
[9]   Many-body effects in the interacting quasi-one-dimensional electron gas: Oscillator confinement [J].
Calmels, L ;
Gold, A .
PHYSICAL REVIEW B, 1997, 56 (04) :1762-1779
[10]   DENSITY-DRIVEN SELF-CONSISTENT-FIELD METHOD - DENSITY-CONSTRAINED CORRELATION ENERGIES IN THE HELIUM SERIES [J].
CIOSLOWSKI, J .
PHYSICAL REVIEW A, 1991, 43 (03) :1223-1228