Spin-catalyzed hopping conductivity in disordered strongly interacting quantum wires
In one-dimensional electronic systems with strong repulsive interactions, charge excitations propagate much faster than spin excitations. Such systems therefore have an intermediate temperature range [termed the "spin-incoherent Luttinger liquid" (SILL) regime] where charge excitations are...
| Main Authors: | , |
|---|---|
| Format: | Journal article |
| Published: |
American Physical Society
2017
|
| _version_ | 1797090205557063680 |
|---|---|
| author | Parameswaran, S Gopalakrishnan, S |
| author_facet | Parameswaran, S Gopalakrishnan, S |
| author_sort | Parameswaran, S |
| collection | OXFORD |
| description | In one-dimensional electronic systems with strong repulsive interactions, charge excitations propagate much faster than spin excitations. Such systems therefore have an intermediate temperature range [termed the "spin-incoherent Luttinger liquid" (SILL) regime] where charge excitations are "cold" (i.e., have low entropy) whereas spin excitations are "hot." We explore the effects of charge-sector disorder in the SILL regime in the absence of external sources of equilibration. We argue that the disorder localizes all charge-sector excitations; however, spin excitations are protected against full localization, and act as a heat bath facilitating charge and energy transport on asymptotically long time scales. The charge, spin, and energy conductivities are widely separated from one another. The dominant carriers of energy in much of the SILL regime are neither charge nor spin excitations, but neutral "phonon" modes, which undergo an unconventional form of hopping transport that we discuss. We comment on the applicability of these ideas to experiments and numerical simulations. |
| first_indexed | 2024-03-07T03:15:10Z |
| format | Journal article |
| id | oxford-uuid:b58b3434-b90b-422c-85b7-343436cdccec |
| institution | University of Oxford |
| last_indexed | 2024-03-07T03:15:10Z |
| publishDate | 2017 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | oxford-uuid:b58b3434-b90b-422c-85b7-343436cdccec2022-03-27T04:34:13ZSpin-catalyzed hopping conductivity in disordered strongly interacting quantum wiresJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:b58b3434-b90b-422c-85b7-343436cdccecSymplectic Elements at OxfordAmerican Physical Society2017Parameswaran, SGopalakrishnan, SIn one-dimensional electronic systems with strong repulsive interactions, charge excitations propagate much faster than spin excitations. Such systems therefore have an intermediate temperature range [termed the "spin-incoherent Luttinger liquid" (SILL) regime] where charge excitations are "cold" (i.e., have low entropy) whereas spin excitations are "hot." We explore the effects of charge-sector disorder in the SILL regime in the absence of external sources of equilibration. We argue that the disorder localizes all charge-sector excitations; however, spin excitations are protected against full localization, and act as a heat bath facilitating charge and energy transport on asymptotically long time scales. The charge, spin, and energy conductivities are widely separated from one another. The dominant carriers of energy in much of the SILL regime are neither charge nor spin excitations, but neutral "phonon" modes, which undergo an unconventional form of hopping transport that we discuss. We comment on the applicability of these ideas to experiments and numerical simulations. |
| spellingShingle | Parameswaran, S Gopalakrishnan, S Spin-catalyzed hopping conductivity in disordered strongly interacting quantum wires |
| title | Spin-catalyzed hopping conductivity in disordered strongly interacting quantum wires |
| title_full | Spin-catalyzed hopping conductivity in disordered strongly interacting quantum wires |
| title_fullStr | Spin-catalyzed hopping conductivity in disordered strongly interacting quantum wires |
| title_full_unstemmed | Spin-catalyzed hopping conductivity in disordered strongly interacting quantum wires |
| title_short | Spin-catalyzed hopping conductivity in disordered strongly interacting quantum wires |
| title_sort | spin catalyzed hopping conductivity in disordered strongly interacting quantum wires |
| work_keys_str_mv | AT parameswarans spincatalyzedhoppingconductivityindisorderedstronglyinteractingquantumwires AT gopalakrishnans spincatalyzedhoppingconductivityindisorderedstronglyinteractingquantumwires |