&lt;p class="MsoNormal"&gt;&lt;span lang="EN-US"&gt;Metallic chains of atoms have been realized by self-assembly of rows of metal atoms at reconstructed semiconductor surfaces [1,2]. A key feature of the electronic structure of 1-dimensional systems is the possibility to form a Tomonaga-Luttinger (TL) liquid whereby long range interactions (small momentum transfer) dominate, and the normal quasi-particle picture of metals breaks down. A key characteristic of such a state is that the electron distributions can no longer be described by a Fermi distribution. In this contribution, small atomic chains composed of between 2 and 20 gold atoms are studied using Monte Carlo configuration interaction to determine to what degree TL physics is retained in finite atomics chains. A key signature of the onset of highly correlated behavior is the vanishing of the Fermi level discontinuity, signifying the breakdown of a quasi-particle picture. In finite systems, quantization leads to a discrete spectrum and in this sense all distributions have a discontinuity at the Fermi level. Hence we turn to studies of charge density osciallitions and density matrix correlations to demonstrate that clear signatures of TL liquids emerge for chain lengths &gt; 12 atoms. A clear transition in the ‘excitation’ kinetic energy versus chain length signals the onset of TL behavior. &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt; &lt;p class="MsoNormal"&gt;&lt;span lang="EN-US"&gt;&lt;o:p&gt; &lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt; &lt;p class="MsoNormal"&gt;&lt;span lang="EN-US"&gt;[1] Development of One-Dimensional Band Structure in Artificial Gold Chains, N. Nilius, T.M. Wallis and W. Ho, Science, 297, 1853-1856 (2002) &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt; &lt;p class="MsoNormal"&gt;&lt;span lang="EN-US"&gt;[2] Atomically Controlled Quantum Chains Hosting a TomonagaLuttinger Liquid, Nature Physics, 7, 776-780 (2011) &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt; &lt;p class="MsoNormal"&gt;&lt;span lang="EN-US"&gt;[5] Emergence of Tomonaga-Luttinger Liquid Behavior in Finite Atomic Chains, T.P. Kelly and J.C. Greer, in preparation (2015)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

Electron correlation in an atomic chain of gold atoms

251st National Meeting (2016)

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