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Computational study of correlated electrons in onedimension: Bondorderwave phase in extended Hubbard model, Peierls transitio,Used
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The search for novel phases in strongly correlated systems is one of the most active frontiers in contemporary condensed matter physics. In this thesis the author explores the ground state phases of correlated electrons in onedimension, modelled by the extended Hubbard model at halffilling, focusing on the novel bondorderwave phase at small to intermediate couplings a previously unknown phase whose existence was conclusively established by the author and his coworkers. The second problem studied involves the Peierls transition in correlated electrons interacting with finite frequency phonons.Both these topics have direct relevance to modelling and thus gaining an understanding of the properties of real quasi onedimensional materials. An important aspect of the thesis is the indepth exposition of the Stochastic Series Expansion (SSE) a quantum Monte Carlo method that has, in the recent years, evolved into one of the most powerful computational techniques to study strongly correlated systems. The author has contributed to the development of the method and as such has a unique perspective which is bound to benefit anyone planning to learn SSE.
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