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Main Authors: Ciocys, Samuel T., Marsal, Quentin, Corbae, Paul, Varjas, Daniel, Kennedy, Ellis, Scott, Mary, Hellman, Frances, Grushin, Adolfo G., Lanzara, Alessandra
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2302.05945
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author Ciocys, Samuel T.
Marsal, Quentin
Corbae, Paul
Varjas, Daniel
Kennedy, Ellis
Scott, Mary
Hellman, Frances
Grushin, Adolfo G.
Lanzara, Alessandra
author_facet Ciocys, Samuel T.
Marsal, Quentin
Corbae, Paul
Varjas, Daniel
Kennedy, Ellis
Scott, Mary
Hellman, Frances
Grushin, Adolfo G.
Lanzara, Alessandra
contents In our understanding of solids, the formation of highly spatially coherent electronic states, fundamental to command the quantum behavior of materials, relies on the existence of discrete translational symmetry of the crystalline lattice. In contrast, in the absence of long-range order, as in the case of non-crystalline materials, the electronic states are localized and electronic coherence does not develop. This brings forward the fundamental question whether long range order is necessary condition to establish coherence and structured momentum-dependent electronic state, and how to characterize it in the presence of short-range order. Here we study Bi$_2$Se$_3$, a material that exists in its crystalline form with long range order, in amorphous form, with short and medium range order, and in its nanocrystalline form, with reduced short range order. By using angle resolved photoemission spectroscopy to directly access the electronic states in a momentum resolved manner, we reveal that, even in the absence of long-range order, a well-defined real-space length scale is sufficient to produce dispersive band structures. Moreover, we observe for the first time a repeated Fermi surface structure of duplicated annuli, reminiscent of Brillouin zone-like repetitions. These results, together with our simulations using amorphous Hamiltonians, reveal that the typical momentum scale where coherence occurs is the inverse average nearest-neighbor distance, the direct fingerprint of the local order of the underlying atomic structure. These results, not only lead the way to a new understanding of electronic coherence in solids, but also open the way to the realization of novel momentum-dependent quantum phenomena such as momentum pairing and spin-orbit coupling, in a much broader class of materials than the currently studied ones, lacking long range crystalline translational symmetry.
format Preprint
id arxiv_https___arxiv_org_abs_2302_05945
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Establishing Coherent Momentum-Space Electronic States in Locally Ordered Materials
Ciocys, Samuel T.
Marsal, Quentin
Corbae, Paul
Varjas, Daniel
Kennedy, Ellis
Scott, Mary
Hellman, Frances
Grushin, Adolfo G.
Lanzara, Alessandra
Materials Science
In our understanding of solids, the formation of highly spatially coherent electronic states, fundamental to command the quantum behavior of materials, relies on the existence of discrete translational symmetry of the crystalline lattice. In contrast, in the absence of long-range order, as in the case of non-crystalline materials, the electronic states are localized and electronic coherence does not develop. This brings forward the fundamental question whether long range order is necessary condition to establish coherence and structured momentum-dependent electronic state, and how to characterize it in the presence of short-range order. Here we study Bi$_2$Se$_3$, a material that exists in its crystalline form with long range order, in amorphous form, with short and medium range order, and in its nanocrystalline form, with reduced short range order. By using angle resolved photoemission spectroscopy to directly access the electronic states in a momentum resolved manner, we reveal that, even in the absence of long-range order, a well-defined real-space length scale is sufficient to produce dispersive band structures. Moreover, we observe for the first time a repeated Fermi surface structure of duplicated annuli, reminiscent of Brillouin zone-like repetitions. These results, together with our simulations using amorphous Hamiltonians, reveal that the typical momentum scale where coherence occurs is the inverse average nearest-neighbor distance, the direct fingerprint of the local order of the underlying atomic structure. These results, not only lead the way to a new understanding of electronic coherence in solids, but also open the way to the realization of novel momentum-dependent quantum phenomena such as momentum pairing and spin-orbit coupling, in a much broader class of materials than the currently studied ones, lacking long range crystalline translational symmetry.
title Establishing Coherent Momentum-Space Electronic States in Locally Ordered Materials
topic Materials Science
url https://arxiv.org/abs/2302.05945