Thesis (Ph. D.)--New York University. / Published also without thesis note. "Laughlin's most significant publications": p. 96-97. Bibliographical foot-notes.

The investigation into topological phases on non-periodic lattices has recently gained wide interest because of the discovery of never-before seen phenomena lacking a counterpart in periodic lattices. In this thesis, I present the results of my work on the lattice Laughlin state on fractal lattices and that of the BHZ model on quasicrystals. I show that the entanglement spectrum has the same topological fingerprint as in periodic lattices, and thus can be used as a probe of topological order in these new environments, where such probes are severely lacking, especially for interacting topological phases. I also show how the entanglement entropy displays precise oscillations as a function of lattice filling in fractal lattices, and is smooth for periodic lattices. I study the on-site particle densities, and anyonic excitations on different kinds of fractal lattices and show how radically different they are from the 2D case. Finally, I study the BHZ model on the Amman-Beenker tiling and show the different kinds of Bulk Localized Transport(BLT) states, the edge states, and how the latter can be used to pump charge between different kind of BLT states. I couple two layers of the half-BHZ, which are time-reversed partners of each other, with a simple time-reversal symmetric hopping, and show that the BLT and edge states still survive.

Ce travail de thèse est consacré à l’étude de la participation de James Laurence Laughlin (1850-19133) à l’unification monétaire et bancaire américaine de 1870 à 1913. L’histoire des débat monétaires et bancaires américains de la fin du dix-neuvième et du début du vingtième sièclen’accorde pas une place importante à cet auteur pourtant incontournable. Laughlin devient unéconomiste académique réputé en tant que premier Head Professor à l’université de Chicago et en fondant le Journal of Political Economy en 1892. Il s’affirme comme expert économique grâce à son expérience de money doctoring à Saint-Domingue en 1894 puis sa participation à la commission monétaire d’Indianapolis en 1897-98. Le rapport final de cette commission rédigé par Laughlin est utilisé pour l’écriture du Gold Standard Act voté en 1900 qui institue légalement un système d’étalon-or aux États-Unis. Par la suite, il prend part à la conception du Federal Reserve Act de 1913, aux côtés de son ancien étudiant Henry Parker Willis. La théorie monétaire de Laughlin se veut être une critique de la théorie quantitative de la monnaie et une défense de la mise en place d’un système d’étalon-or. Pour ce faire, il mobilise des éléments issus de la théorie des auteurs de la Banking School anglaise. Il explique alors la formation des prix par des déterminants non monétaires et inclut le crédit et la spéculation à sa théorie en distinguant un crédit « normal » et un crédit « anormal ». / This Ph.D. dissertation studies James Laurence Laughlin (1850-1913) participation in the American monetary and banking unification. The history of American monetary and banking debates of the end of the nineteenth and the beginning of the twentieth century does not place emphasis on this author while he is unavoidable. He becomes a renowned academic economist by being the first Head Professor of the University of Chicago and the founder of the Journal of Political Economy in 1892. He also acquires the status of economic expert by doing a money doctoring in Santo Domingo in 1894 and by participating in the Indianapolis Monetary Commission in 1897-98. The final report of this commission written by Laughlin had been used to write the Gold Standard Act, passed in 1900 and establishing a gold standard system in the United States. Subsequently, he gets involved in designing the Federal Reserve Act of 1913 alongside his former student Henry Parker Willis. Laughlin’s theory is meant to be a critique of the quantity theory of money. He includes elements from the English Banking School authors’ theory. He explains the formation of prices by non-monetary determinants and includes credit and speculation in his theory by distinguishing a “normal” credit and an “abnormal” credit.

Thesis (Ph. D.)--West Virginia University, 2008. / Title from document title page. Document formatted into pages; contains x, 394 p. : map. Includes abstract. Includes bibliographical references (p. 381-394).

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Thesis (D. Min.)--Erskine Theological Seminary, 1998. / Abstract. Includes bibliographical references (leaves [137-141]).

Thesis (D. Min.)--Erskine Theological Seminary, 1998. / Abstract. This is an electronic reproduction of TREN, #064-0046. Includes bibliographical references (leaves [137-141]).

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