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Gweon, G.-H.; Allen, J. W.; Clack, J. A.; Zhang, Y. X.; Poirier, D. M.; Benning, P. J.; Olson, C. G.; Marcus, J. A.; Schlenker, C.

doi:10.1103/physrevb.55.r13353

Cited by 35 publications

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“…The Na purple bronze is significant here as a bridge material between 1-d and 2-d because of its "hidden 1-d" FS [20] arising from three weakly coupled 1-d chains that are mutually oriented at 120 degrees. We have previously measured its FS [21] by ARPES, as reproduced in panel (b) of Fig. 1 and in this paper we show that the associated ARPES spectra display generalized fractionalization signatures that are also present in the ARPES spectra of the quasi- [12] and (b) quasi-2-d (hidden 1-d) Na purple bronze [21].…”

Section: Introductionsupporting

confidence: 73%

Generalized spectral signatures of electron fractionalization in quasi-one- and two-dimensional molybdenum bronzes and superconducting cuprates

2003

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We establish the quasi-one-dimensional Li purple bronze as a photoemission paradigm of Luttinger liquid behavior. We also show that generalized signatures of electron fractionalization are present in the angle resolved photoemission spectra for quasi-two-dimensional purple bronzes and certain cuprates. An important component of our analysis for the quasi-two-dimensional systems is the proposal of a "melted holon" scenario for the k-independent background that accompanies but does not interact with the peaks that disperse to define the Fermi surface.

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Section: Introductionsupporting

confidence: 73%

Generalized spectral signatures of electron fractionalization in quasi-one- and two-dimensional molybdenum bronzes and superconducting cuprates

2003

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“…Angle-resolved photoemission spectroscopy (ARPES) has emerged as probably the most powerful tool for determining the occupied electronic band structure of solids and their surfaces. Recently, it has been extensively applied to gain insight into the topology of Fermi surfaces of a variety of materials ranging from conventional three-dimensional metals like W and Cu [1,2,3] to quasi two dimensional layered compounds [4,5,6], purple bronzes [7] and high T C cuprate materials [8,9]. The accuracy of the determination of the Fermi surface by ARPES, however, has never been questioned and it turns out that even for the extensively studied BiSrCaCuO it is not at all clear that the topology of the normal state FS shows hole-like pockets around the corners of the Brillouin zone [8,9,10] or electron-pockets around the center of the BZ [11].…”

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“…This motivates studies of band dispersions, line shapes, momentum distribution functions, and Fermi surfaces. Fermi vectors have been extracted from ARPES data employing criteria like (i) maximum ARPES intensity at the Fermi level E F [1,2,7,8,14], (ii) max|∇ k | of the energy integrated photoemission intensity [4,5,15,16] or (iii) fitting ARPES peak positions over several emission angles and extrapolating the dispersion to E F [17]. However, none of these techniques explicitly considers the detailed mechanism of the photoemission process.…”

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confidence: 99%

How to Determine Fermi Vectors by Angle-Resolved Photoemission

et al. 1999

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Angle resolved photoemission spectroscopy (ARPES) has been commonly applied to evaluate the shape of Fermi surfaces by employing simple criteria for the determination of the Fermi vector kF parallel to the surface such as maximum photoemission intensity at the Fermi level or discontinuity in the momentum distribution function. Here we show that these criteria may lead to large uncertainties in particular for narrow band systems. We develop a reliable method for the determination of Fermi vectors employing high resolution ARPES at different temperatures. The relevance and accuracy of the method is discussed on data of the quasi two dimensional system TiTe2.A wide variety of physical phenomena of crystalline materials, such as e. g. transport, optical and magnetic response, and phase transitions rely on details of the topology of the Fermi surface (FS). Its experimental determination performed by traditional techniques like de Haas-van Alphen effect, magnetoacoustic effect, Compton scattering, or positron annihilation have, however, been restricted to bulk materials. All techniques in common is the indirect information on the shape of the Fermi surface. While the first two determine extremal crosssections of FS's in a plane normal to the applied magnetic field, the latter yield information on one and two dimensional projections of FS's. More complex cases, such as superlattices, heterostructures or even clean surfaces can also hardly be accessed. Angle-resolved photoemission spectroscopy (ARPES) has emerged as probably the most powerful tool for determining the occupied electronic band structure of solids and their surfaces. Recently, it has been extensively applied to gain insight into the topology of Fermi surfaces of a variety of materials ranging from conventional three-dimensional metals like W and Cu [1,2,3] to quasi two dimensional layered compounds [4,5,6], purple bronzes [7] and high T C cuprate materials [8,9]. The accuracy of the determination of the Fermi surface by ARPES, however, has never been questioned and it turns out that even for the extensively studied BiSrCaCuO it is not at all clear that the topology of the normal state FS shows hole-like pockets around the corners of the Brillouin zone [8,9,10] or electron-pockets around the center of the BZ [11].It is widely assumed that ARPES measures the spectral function A(k, ω) of the one-particle system times the Fermi function f (ω) and matrix elements do not play a significant role (see e.g. ref. [12,13]). This motivates studies of band dispersions, line shapes, momentum distribution functions, and Fermi surfaces. Fermi vectors have been extracted from ARPES data employing criteria like (i) maximum ARPES intensity at the Fermi level E F [1,2,7,8,14], (ii) max|∇ k | of the energy integrated photoemission intensity [4,5,15,16] or (iii) fitting ARPES peak positions over several emission angles and extrapolating the dispersion to E F [17]. However, none of these techniques explicitly considers the detailed mechanism of the photoemission process. In part...

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“…Also, by directly probing the single electron spectral function, the ARPES line shape provides detailed information about the nature of the single particle excitations of the system 11,14,15,16 . In past ARPES work on quasi-1d Li 0.9 Mo 6 O 17 , and on hidden 1d NaMo 6 O 17 , we have directly observed their nested FS characters 12,14,15 and have identified certain fractionalization and NFL signatures 11 in their ARPES line shapes.…”

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“…Angle-resolved photoemission spectroscopy (ARPES) is a valuable tool to directly measure the FS topology, as well as the size and the geometrical anisotropy of the gap function, as seen in other molybdenum oxides 12 and high temperature superconductors 13 . Also, by directly probing the single electron spectral function, the ARPES line shape provides detailed information about the nature of the single particle excitations of the system 11,14,15,16 .…”

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Hidden one-dimensional electronic structure and non-Fermi-liquid angle-resolved photoemission line shapes ofη‐Mo4O11

Gweon

Allen

et al. 2005

Phys. Rev. B

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We report angle resolved photoemission (ARPES) spectra of η-Mo4O11, a layered metal that undergoes two charge density wave (CDW) transitions at 109 K and 30 K. We have directly observed the "hidden one-dimensional (hidden-1d)" Fermi surface and an anisotropic gap opening associated with the 109 K transition, in agreement with the band theoretical description of the CDW transition. In addition, as in other hidden-1d materials such as NaMo6O17, the ARPES line shapes show certain anomalies, which we discuss in terms of non-Fermi liquid physics and possible roles of disorder.PACS numbers: 71.45. Lr, 71.18.+y, η-Mo 4 O 11 has a monoclinic crystal structure in which Mo 6 O 22 layers, made up of distorted MoO 6 octahedra and defining a two-dimensional (2d) tetragonal plane (bc plane), are connected weakly by MoO 4 tetrahedra 1,2 , giving rise to a quasi-two dimensional (quasi-2d) electronic structure 3,4 . Within the octahedral layer, crossed conducting chains exist along b and b ± c directions. In this paper, we will refer to the three 1d bands defined on these chains as b band and b ± c bands. These 1d bands are nonetheless weakly hybridized and so η-Mo 4 O 11 displays the "hidden one dimensionality" 5,6 . The resulting Fermi surface (FS) 5 can be viewed as being made up of pairs of parallel lines derived from each chain, with only slight distortions due to the weak hybridization between the chains. The nominally 1d portions of the FS are "nested," i.e. separated by a constant wave vector q c =2k F , where k F is the FS wavevector, and so the term "hidden nesting" 6 was originally used to describe such materials.One important aspect of the electronic structures of hidden 1d metals is that the nesting property can lead to the formation of a charge density wave (CDW) having the nesting wavevector q c 7 . The nested portion of the FS is then destroyed below the CDW transition temperature T c by the formation of gaps in the single particle electron structure. η-Mo 4 O 11 undergoes two successive CDW transitions 8 at T c1 = 109 K and T c2 = 30 K, with wavevectors q c1 = 0.23b * and q c2 = xa * + 0.42b * + 0.28c * (x is unknown), respectively, as determined by electron diffraction and X-ray diffuse scattering. These wavevectors are in good agreement with calculated nesting vectors of the hidden 1d FS 4,5 . A unique property of η-Mo 4 O 11 is that it shows an anomalous bulk quantum Hall effect (QHE) at a very low temperature in the second CDW phase 9,10 . The FS topology is equally important in understanding the QHE, since the formation of the small cylindrical FS below T c2 , after most of the FS is destroyed by the imperfect nesting, is a central part of current the understanding of the QHE.Another important aspect is that the underlying 1d character raises the possibility that the exotic non-Fermi liquid (NFL) properties of strictly 1d interacting electron models, e.g. the electron fractionalization of the Luttinger liquid, may be present in one form or another in spite of the electron hopping between the chains. In this...

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Direct Fermi-surface image of hidden nesting forNaMo6O17and

Cited by 35 publications

References 0 publications

Generalized spectral signatures of electron fractionalization in quasi-one- and two-dimensional molybdenum bronzes and superconducting cuprates

Generalized spectral signatures of electron fractionalization in quasi-one- and two-dimensional molybdenum bronzes and superconducting cuprates

How to Determine Fermi Vectors by Angle-Resolved Photoemission

Hidden one-dimensional electronic structure and non-Fermi-liquid angle-resolved photoemission line shapes ofη‐Mo4O11

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