Timeline for Why does an electric field not blur together the Landau levels?
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Dec 10, 2023 at 12:34 | comment | added | Ghorbalchov | Good, if you add these comments to your answer I can accept it | |
| Nov 28, 2023 at 8:10 | comment | added | Ramal Afrose | Yes, QHE disappears if there is no 'gap' between Landau levels. Your situation is similar to pre-QH regime where we have Subhnikov-de Haas oscillations. There, LL broadening is due to disorder rather than electric field, but I believe the effect is the same. | |
| Nov 26, 2023 at 22:13 | comment | added | Ghorbalchov | Makes sense. But if states are filled in order of increasing energy, the next Landau level should start being filled before the previous one is full, and the QHE should disappear right? | |
| Nov 26, 2023 at 16:29 | comment | added | Ramal Afrose | Yes, it seems so. But then again, wavefunctions at different $k$ are localized at different $x_k=x_0-kl_B^2$, so the probability that an electron from one end of the spectrum will transition to the other end is small. | |
| Nov 26, 2023 at 15:23 | comment | added | Ghorbalchov | What I mean is that the Landau levels can overlap in energy at different values of $k$ (c.f. the lines of Figure 5 in section 1.4.2. and imagine they are steeper). Then it would seem that transitions can occur between Landau levels without energy cost. | |
| Nov 26, 2023 at 14:20 | history | answered | Ramal Afrose | CC BY-SA 4.0 |