Robust quantum transport at particle-hole symmetry
We study quantum transport in disordered systems with particle-hole symmetric Hamiltonians. The particle-hole symmetry is spontaneously broken after averaging with respect to disorder, and the resulting massless mode is treated in a random-phase representation of the invariant measure of the symmetr...
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| Veröffentlicht in: | Europhysics letters 2021-07, Vol.135 (1), p.17001 |
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| creator | Mandal, Ipsita Ziegler, Klaus |
| description | We study quantum transport in disordered systems with particle-hole symmetric Hamiltonians. The particle-hole symmetry is spontaneously broken after averaging with respect to disorder, and the resulting massless mode is treated in a random-phase representation of the invariant measure of the symmetry group. We compute the resulting fermionic functional integral of the average two-particle Green's function in a perturbation theory around the diffusive limit. The results up to two-loop order show that the corrections vanish, indicating that the diffusive quantum transport is robust. On the other hand, the diffusion coefficient depends strongly on the particle-hole symmetric Hamiltonian we choose to study. This reveals a connection between the underlying microscopic theory and the classical long-scale metallic behaviour of these systems. |
| doi_str_mv | 10.1209/0295-5075/ac1a25 |
| format | Article |
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The particle-hole symmetry is spontaneously broken after averaging with respect to disorder, and the resulting massless mode is treated in a random-phase representation of the invariant measure of the symmetry group. We compute the resulting fermionic functional integral of the average two-particle Green's function in a perturbation theory around the diffusive limit. The results up to two-loop order show that the corrections vanish, indicating that the diffusive quantum transport is robust. On the other hand, the diffusion coefficient depends strongly on the particle-hole symmetric Hamiltonian we choose to study. 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| ispartof | Europhysics letters, 2021-07, Vol.135 (1), p.17001 |
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| language | eng |
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| source | IOP Publishing Journals |
| subjects | Diffusion coefficient Green's functions Hamiltonian functions Perturbation theory Quantum transport Robustness (mathematics) Symmetry |
| title | Robust quantum transport at particle-hole symmetry |
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