Delta-function-potential junctions with quasiparticles occupying tilted bands with quadratic-in-momentum dispersion
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866910956518375424 |
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| author | Mandal, Ipsita |
| author_facet | Mandal, Ipsita |
| contents | We continue our explorations of the transport characteristics in junction-configurations comprising semimetals with quadratic band-crossings, observed in the bandstructures of both two- and three-dimensional materials. Here, we consider short potential barriers/wells modelled by delta-function potentials. We also generalize our analysis by incorporating tilts in the dispersion. Due to the parabolic nature of the spectra, caused by quadratic-in-momentum dependence, there exist evanescent waves, which decay exponenWe continue our explorations of the transport characteristics in junction-configurations comprising semimetals with quadratic band-crossings, observed in the bandstructures of both two- and three-dimensional materials. Here, we consider short potential barriers/wells modelled by delta-functions. We also generalize our analysis by incorporating tilts in the dispersion. Due to the parabolic nature of the spectra, caused by quadratic-in-momentum dependence, there exist evanescent waves, which decay exponentially as we move away from the junction represented by the location of the delta-function potential. Investigating the possibility of the appearance of bound states, we find that their energies appear as pairs of $\pm |E_b |$, reflecting the presence of the imaginary-valued wavevectors at both positive and negative values of energies of the propagating quasiparticles. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2502_12931 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Delta-function-potential junctions with quasiparticles occupying tilted bands with quadratic-in-momentum dispersion Mandal, Ipsita Mesoscale and Nanoscale Physics We continue our explorations of the transport characteristics in junction-configurations comprising semimetals with quadratic band-crossings, observed in the bandstructures of both two- and three-dimensional materials. Here, we consider short potential barriers/wells modelled by delta-function potentials. We also generalize our analysis by incorporating tilts in the dispersion. Due to the parabolic nature of the spectra, caused by quadratic-in-momentum dependence, there exist evanescent waves, which decay exponenWe continue our explorations of the transport characteristics in junction-configurations comprising semimetals with quadratic band-crossings, observed in the bandstructures of both two- and three-dimensional materials. Here, we consider short potential barriers/wells modelled by delta-functions. We also generalize our analysis by incorporating tilts in the dispersion. Due to the parabolic nature of the spectra, caused by quadratic-in-momentum dependence, there exist evanescent waves, which decay exponentially as we move away from the junction represented by the location of the delta-function potential. Investigating the possibility of the appearance of bound states, we find that their energies appear as pairs of $\pm |E_b |$, reflecting the presence of the imaginary-valued wavevectors at both positive and negative values of energies of the propagating quasiparticles. |
| title | Delta-function-potential junctions with quasiparticles occupying tilted bands with quadratic-in-momentum dispersion |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2502.12931 |