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Electron - hole asymmetry and activation energy in quantum Hall ferromagnets | | Vladimir I. Fal’ko
; S.V. Iordanski
; | | Date: |
13 Mar 2000 | | Subject: | Mesoscopic Systems and Quantum Hall Effect | cond-mat.mes-hall | | Affiliation: | Lancaster U), S.V. Iordanski (Landau Institute, Moscow | | Abstract: | We argue that the dissipative transport in ferromagnetic quantum Hall effect liquids at $
u=2N+1$ is dominated by the thermal activation of pairs consisting of an electron and an antiskyrmion (topological texture which represents a hole with ’screened’ exchange interaction), thus manifesting the lack of electron-hole symmetry in quantum Hall ferromagnets. We find that the activation energy of such a pair is not the exchange energy, but is determined by the interplay between the excess Zeeman energy of a skyrmion and the charging energy of its topological texture: $${cal E}=aepsilon_{{
m Z}}^{1/3}E_{{
m C}}^{2/3}ln ^{1/3}(frac{Im_{i}}{E_{{
m C}}^{2/3}epsilon_{{
m Z}}^{1/3}}), E_{{
m C}}=frac{e^{2}}{chi lambda}, $$ with $ aapprox 1.75$. | | Source: | arXiv, cond-mat/0003224 | | Services: | Forum | Review | PDF | Favorites | |
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