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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Online Access: | https://arxiv.org/abs/2305.06413 |
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| _version_ | 1866908910650130432 |
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| author | Manna, Sandipan Sreejith, G J |
| author_facet | Manna, Sandipan Sreejith, G J |
| contents | We calculate the finite temperature thermal conductivity of a time-reversal invariant chiral $\mathbb{Z}_3$ clock model along an integrable line in the parameter space using tDMRG. The thermal current itself is not a conserved charge, unlike in the XXZ model, but has a finite overlap with a local conserved charge $Q^{(2)}$ obtained from the transfer matrix. We find that the Drude weight is finite at non-zero temperature, and the Mazur bound from $Q^{(2)}$ saturates the Drude weight, allowing us to obtain an asymptotic expression for the Drude weight at high temperatures. The numerical estimates are validated using a sum rule for thermal conductivity. On the computational side, we also explore the effectiveness of the ancilla disentangler in the integrable and non-integrable regimes of the model. We find that the disentangler helps in localizing the entanglement growth around the quench location, but the improvement is lesser in the non-integrable regime and at low temperatures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_06413 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Thermal Drude weight in an integrable chiral clock model Manna, Sandipan Sreejith, G J Statistical Mechanics Strongly Correlated Electrons We calculate the finite temperature thermal conductivity of a time-reversal invariant chiral $\mathbb{Z}_3$ clock model along an integrable line in the parameter space using tDMRG. The thermal current itself is not a conserved charge, unlike in the XXZ model, but has a finite overlap with a local conserved charge $Q^{(2)}$ obtained from the transfer matrix. We find that the Drude weight is finite at non-zero temperature, and the Mazur bound from $Q^{(2)}$ saturates the Drude weight, allowing us to obtain an asymptotic expression for the Drude weight at high temperatures. The numerical estimates are validated using a sum rule for thermal conductivity. On the computational side, we also explore the effectiveness of the ancilla disentangler in the integrable and non-integrable regimes of the model. We find that the disentangler helps in localizing the entanglement growth around the quench location, but the improvement is lesser in the non-integrable regime and at low temperatures. |
| title | Thermal Drude weight in an integrable chiral clock model |
| topic | Statistical Mechanics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2305.06413 |