Coulomb pseudogap caused by partial localization of a three-dimensional electron system in the extreme quantum limit

Morgenstern, Markus; Haude, D.; Klijn, J.; Wiesendanger, R.

doi:10.1103/physrevb.66.121102

Cited by 13 publications

(10 citation statements)

References 31 publications

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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: 77%

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: 77%

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

2017

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“…Strong fluctuations of the LDOS in a strongly disordered 3D system (presumably, on the insulating side of the transition) have been also observed in Ref. [27]. Further, recent works on STM of 2D semiconductor systems and graphene [28] demonstrated the feasibility to explore fluctuations and correlations of the LDOS also near the quantum Hall transitions.…”

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confidence: 63%

Multifractality at Anderson Transitions with Coulomb Interaction

2013

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We explore mesoscopic fluctuations and correlations of the local density of states (LDOS) near localization transition in a disordered interacting electronic system. It is shown that the LDOS multifractality survives in the presence of the Coulomb interaction. We calculate the spectrum of multifractal dimensions in 2+ϵ spatial dimensions and show that it differs from that in the absence of interaction. The multifractal character of fluctuations and correlations of the LDOS can be studied experimentally by scanning tunneling microscopy of two-dimensional and three-dimensional disordered structures.

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“…Surprisingly, a Coulomb gap-although typically thought of being a phenomenon related to disorder averaging or spatial averaging-is also observed in the local DOS [35]. The intensity of a particular LDOS peak is suppressed when moved through E F by increasing B.…”

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confidence: 98%

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

et al. 2011

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Using low-temperature scanning tunneling spectroscopy applied to the Cs-induced two-dimensional electron system (2DES) on p-type InSb(110), we probe electron-electron interaction effects in the quantum Hall regime. The 2DES is decoupled from bulk states and exhibits spreading resistance within the insulating quantum Hall phases. In quantitative agreement with calculations we find an exchange enhancement of the spin splitting. Moreover, we observe that both the spatially averaged as well as the local density of states feature a characteristic Coulomb gap at the Fermi level. These results show that electron-electron interaction can be probed down to a resolution below all relevant length scales.

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Coulomb pseudogap caused by partial localization of a three-dimensional electron system in the extreme quantum limit

Cited by 13 publications

References 31 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

Multifractality at Anderson Transitions with Coulomb Interaction

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

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