Large Scale Numerics Uncovering New States of Matter

A. Moreno (), J. M. P. Carmelo () and A. Muramatsu ()
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A. Moreno: Universität Stuttgart, Institut für Theoretische Physik III
J. M. P. Carmelo: Universität Stuttgart, Institut für Theoretische Physik III
A. Muramatsu: Universität Stuttgart, Institut für Theoretische Physik III

A chapter in Sustained Simulation Performance 2013, 2013, pp 129-136 from Springer

Abstract: Abstract While in condensed matter systems the constituents are well known, namely electrons, neutrons and protons, their interplay may give rise to unexpected states of matter. In this contribution we concentrate on strongly correlated electrons in one dimension driven out of equilibrium. This requires in principle, the solution of Schrödinger’s equation dealing with a space of states, whose dimension increases exponentially with the number of electrons. Implementing an algorithm that requires only polynomially increasing computational resources, namely the time-dependent density matrix renormalization group (t-DMRG), we show that an electron injected into the system, fractionalizes in several portions, some of them carrying charge but no spin, and others carrying the spin and partial charge, in spite of the electron being an elementary particle in isolation. The characterization of such a fractionalization of charge and spin was made possible by the access to HPC plattforms with large memory processors.

Keywords: Time-dependent Density Matrix Renormalization Group; SUSY Point; Spin-charge Separation; Bethe Ansatz Solution; Charge Excitations (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-01439-5_9

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DOI: 10.1007/978-3-319-01439-5_9

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