Probing Electron-Electron Interaction in Quantum Hall Systems with Scanning Tunneling Spectroscopy

Becker, Stefan; Karrasch, Christoph; Mashoff, T.; Pratzer, M.; Liebmann, Marcus; Meden, V.; Morgenstern, Markus

doi:10.1103/physrevlett.106.156805

Cited by 25 publications

(32 citation statements)

References 48 publications

(73 reference statements)

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“…We note that our theoretical results are consistent with available data on scanning tunneling microscopy in disordered interacting systems, in particular, for a strongly disordered 3D system [68], for various 2D semiconductor systems and graphene [69][70][71][72], for a magnetic semiconductor Ga 1−x Mn x As near metal-insulator transition [9], for metallic and insulating phases near superconductorinsulator transition in TiN, InO, and NbN films [73][74][75][76][77][78].…”

Section: Pacssupporting

confidence: 87%

Mesoscopic fluctuations of the local density of states in interacting electron systems

2017

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We review our recent theoretical results for mesoscopic fluctuations of the local density of states in the presence of electron-electron interaction. We focus on the two specific cases: (i) a vicinity of interacting critical point corresponding to Anderson-Mott transition, and (ii) a vicinity of non-interacting critical point in the presence of a weak electron-electron attraction. In both cases strong mesoscopic fluctuations of the local density of states exist. PACS:Introduction. -Since the seminal paper by P.W. Anderson [1] a study of the localization-delocalization quantum phase transition in noninteracting disordered systems has turned into a vast field of research (see Refs. [2, 3] for a review). As any other quantum phase transitions, Anderson transition is characterized by a set of critical exponents which controls the scaling of a divergent correlation length and different physical observables. However, contrary to ordinary quantum phase transitions, for an Anderson transition there is the additional set of critical exponents ∆

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Section: Pacssupporting

confidence: 87%

Mesoscopic fluctuations of the local density of states in interacting electron systems

2017

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“…Tunneling spectroscopy in van der Waals and other heterostructures is a powerful tool that can reveal unique information about the density of states (DOS) of the electrodes [1,2], about phonons (or other excitations) [3][4][5], about the chiral, valley [6] and spin states of the carriers [7,8] and their interactions [9]. Recently it was shown that the presence of defects in crystalline hexagonal boron nitride (h-BN) tunneling barriers can be detected in the tunneling spectra, which is dominated by Coulomb blockade effects [10,11].…”

Section: Introductionmentioning

confidence: 99%

Tunneling spectroscopy of localized states of WS2 barriers in vertical van der Waals heterostructures

et al. 2020

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In transition metal dichalcogenides, defects have been found to play an important role, affecting doping, spin-valley relaxation dynamics, and assisting in proximity effects of spin-orbit coupling.Here, we study localized states in WS2 and how they affect tunneling through van der Waals heterostructures of h-BN/graphene/WS2/metal. The obtained conductance maps as a function of bias and gate voltage reveal single-electron transistor behavior (Coulomb blockade) with a rich set of transport features including excited states and negative differential resistance regimes. Applying a perpendicular magnetic field, we observe a shift in the energies of the quantum levels and information about the orbital magnetic moment of the localized states is extracted. *

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“…While the existence of the edge states was confirmed indirectly by transport measurements [4,5], the condition for observation of the edge states and the details of the potential and density profiles are still unclear experimentally. Continuous effort has been made, therefore, to directly probe alternating strips of the edge states, for example, by scanning single electron transistors [6], subsurface charge accumulation [7], scanning force microscope [8][9][10], and scanning tunneling spectroscopy [11,12]. Scanning gate microscopy [13,14] has been used to image electron flow from a quantum point contact in magnetic fields.…”

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confidence: 99%

Near-Field Optical Mapping of Quantum Hall Edge States

et al. 2011

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We report on the mapping of quantum-Hall edge states by quasiresonant photovoltage measurements using a near-field scanning optical microscope. We have observed fine structures near sample edges that shift inward with an increase in magnetic field in accordance with the shift of the positions of the quantum-Hall edge states. We have found a transition from the weak disorder regime where compressible-incompressble strips are visible to the strong disorder regime where fluctuations smear out incompressible strips.

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Probing Electron-Electron Interaction in Quantum Hall Systems with Scanning Tunneling Spectroscopy

Cited by 25 publications

References 48 publications

Mesoscopic fluctuations of the local density of states in interacting electron systems

Mesoscopic fluctuations of the local density of states in interacting electron systems

Tunneling spectroscopy of localized states of WS2 barriers in vertical van der Waals heterostructures

Near-Field Optical Mapping of Quantum Hall Edge States

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