Intrinsic translational symmetry breaking in a doped Mott insulator

A central issue of Mott physics, with symmetries being fully retained in the spin background, concerns the charge excitation. In a two-leg spin ladder with a spin gap, an injected hole can exhibit either a Bloch wave or a density wave by tuning the ladder anisotropy through a “quantum critical point...

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Main Authors: Zhu, Zheng, Sheng, D. N., Weng, Zheng-Yu
Other Authors: Massachusetts Institute of Technology. Department of Physics
Format: Article
Language:English
Published: American Physical Society 2018
Online Access:http://hdl.handle.net/1721.1/117102
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author Zhu, Zheng
Sheng, D. N.
Weng, Zheng-Yu
author2 Massachusetts Institute of Technology. Department of Physics
author_facet Massachusetts Institute of Technology. Department of Physics
Zhu, Zheng
Sheng, D. N.
Weng, Zheng-Yu
author_sort Zhu, Zheng
collection MIT
description A central issue of Mott physics, with symmetries being fully retained in the spin background, concerns the charge excitation. In a two-leg spin ladder with a spin gap, an injected hole can exhibit either a Bloch wave or a density wave by tuning the ladder anisotropy through a “quantum critical point” (QCP). The nature of such a QCP has been a subject of recent studies by density matrix renormalization group. In this paper, we reexamine the ground state of the one doped hole, and show that a two-component structure is present in the density wave regime, in contrast to the single component in the Bloch-wave regime. In the former, the density wave itself is still contributed by a standing-wave-like component characterized by a quasiparticle spectral weight Z in a finite-size system. But there is an additional charge incoherent component emerging, which intrinsically breaks the translational symmetry associated with the density wave. The partial momentum is carried away by neutral spin excitations. Such an incoherent part does not manifest in the single-particle spectral function, directly probed by the angle-resolved photoemission spectroscopy measurement, however, it is demonstrated in the momentum distribution function. Landau's one-to-one correspondence hypothesis for a Fermi liquid breaks down here. The microscopic origin of this density wave state as an intrinsic manifestation of the doped Mott physics will be also discussed.
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spelling mit-1721.1/1171022022-09-30T22:46:50Z Intrinsic translational symmetry breaking in a doped Mott insulator Zhu, Zheng Sheng, D. N. Weng, Zheng-Yu Massachusetts Institute of Technology. Department of Physics Zhu, Zheng A central issue of Mott physics, with symmetries being fully retained in the spin background, concerns the charge excitation. In a two-leg spin ladder with a spin gap, an injected hole can exhibit either a Bloch wave or a density wave by tuning the ladder anisotropy through a “quantum critical point” (QCP). The nature of such a QCP has been a subject of recent studies by density matrix renormalization group. In this paper, we reexamine the ground state of the one doped hole, and show that a two-component structure is present in the density wave regime, in contrast to the single component in the Bloch-wave regime. In the former, the density wave itself is still contributed by a standing-wave-like component characterized by a quasiparticle spectral weight Z in a finite-size system. But there is an additional charge incoherent component emerging, which intrinsically breaks the translational symmetry associated with the density wave. The partial momentum is carried away by neutral spin excitations. Such an incoherent part does not manifest in the single-particle spectral function, directly probed by the angle-resolved photoemission spectroscopy measurement, however, it is demonstrated in the momentum distribution function. Landau's one-to-one correspondence hypothesis for a Fermi liquid breaks down here. The microscopic origin of this density wave state as an intrinsic manifestation of the doped Mott physics will be also discussed. 2018-07-25T14:11:46Z 2018-07-25T14:11:46Z 2018-07 2018-07 2018-07-19T18:00:12Z Article http://purl.org/eprint/type/JournalArticle 2469-9950 2469-9969 http://hdl.handle.net/1721.1/117102 Zhu, Zheng et al. "Intrinsic translational symmetry breaking in a doped Mott insulator." Physical Review B 98, 3 (July 2018): 035129 © 2018 American Physical Society en http://dx.doi.org/10.1103/PhysRevB.98.035129 Physical Review B Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society
spellingShingle Zhu, Zheng
Sheng, D. N.
Weng, Zheng-Yu
Intrinsic translational symmetry breaking in a doped Mott insulator
title Intrinsic translational symmetry breaking in a doped Mott insulator
title_full Intrinsic translational symmetry breaking in a doped Mott insulator
title_fullStr Intrinsic translational symmetry breaking in a doped Mott insulator
title_full_unstemmed Intrinsic translational symmetry breaking in a doped Mott insulator
title_short Intrinsic translational symmetry breaking in a doped Mott insulator
title_sort intrinsic translational symmetry breaking in a doped mott insulator
url http://hdl.handle.net/1721.1/117102
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