From classical periodic orbits in integrable $ \pi$-rational billiards to quantum energy spectrum

Panda, Subhasis; Maulik, Sabyasachi; Chakraborty, Saswata; Khastgir, S. Pratik

doi:10.1140/epjp/i2019-12834-4

Cited by 3 publications

(2 citation statements)

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“…2e is the non-trivial QI pattern in the corner. This does not fit the CCDW order and is strongly suggestive of a quantum interference that follows a predicted trajectory of classical particles within an ET 26 (shown by red line in Fig. 2f., and chosen to fit to the QI pattern).…”

Section: Experimental Measurements and Analysismentioning

confidence: 88%

“…f) l=27a R, but showing a superimposed classical periodic orbit with integers m=1, n=4 defining the 'shooting' vector V of motion of the classical particle, 𝑽 = 𝑚𝒂 + 𝑛𝒃 on the parent lattice (see ref. 26 for details). The red line emphasizes a reginal similarity of the classical trajectory with the QI pattern.…”

Section: Experimental Measurements and Analysismentioning

confidence: 99%

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Quantum billiards with correlated electrons confined in triangular transition metal dichalcogenide monolayer nanostructures

et al. 2021

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Forcing systems through fast non-equilibrium phase transitions offers the opportunity to study new states of quantum matter that self-assemble in their wake. Here we study the quantum interference effects of correlated electrons confined in monolayer quantum nanostructures, created by femtosecond laser-induced quench through a first-order polytype structural transition in a layered transition-metal dichalcogenide material. Scanning tunnelling microscopy of the electrons confined within equilateral triangles, whose dimensions are a few crystal unit cells on the side, reveals that the trajectories are strongly modified from free-electron states both by electronic correlations and confinement. Comparison of experiments with theoretical predictions of strongly correlated electron behaviour reveals that the confining geometry destabilizes the Wigner/Mott crystal ground state, resulting in mixed itinerant and correlation-localized states intertwined on a length scale of 1 nm. The work opens the path toward understanding the quantum transport of electrons confined in atomic-scale monolayer structures based on correlated-electron-materials.

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Section: Experimental Measurements and Analysismentioning

confidence: 88%

Section: Experimental Measurements and Analysismentioning

confidence: 99%