Electric transport in doped Mott insulators dictated by a non-Ioffe-Larkin composition rule and spinons
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| Format: | Preprint |
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2024
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| _version_ | 1866915252726136832 |
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| author | Chen, Chuan Zhang, Jia-Xin Song, Zhi-Jian Weng, Zheng-Yu |
| author_facet | Chen, Chuan Zhang, Jia-Xin Song, Zhi-Jian Weng, Zheng-Yu |
| contents | The electric resistivity is examined in the constrained Hilbert space of a doped Mott insulator, which is dictated by a non-Ioffe-Larkin composition rule due to the underlying mutual Chern-Simons topological gauge structure. In the low-temperature pseudogap phase, where holons remain condensed while spinons proliferate, the charge transport is governed by a chiral spinon excitation, comprising a bosonic spin-$1/2$ at the core of a supercurrent vortex. It leads to a vanishing resistivity with the ``confinement'' of the spinons in the superconducting phase but a low-$T$ divergence of the resistivity once the spinon confinement is disrupted by external magnetic fields. In the latter, the chiral spinons will generate a Hall number $n_H =$ doping concentration $ δ$ and a Nernst effect to signal an underlying long-range entanglement between the charge and spin degrees of freedom. Their presence is further reflected in thermodynamic quantities such as specific heat and spin susceptibility. Finally, in the high-temperature spin-disordered phase, it is shown that the holons exhibit a linear-$T$ resistivity by scattering with the spinons acting as free local moments, which generate randomized gauge fluxes as perceived by the charge degree of freedom. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2406_15553 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Electric transport in doped Mott insulators dictated by a non-Ioffe-Larkin composition rule and spinons Chen, Chuan Zhang, Jia-Xin Song, Zhi-Jian Weng, Zheng-Yu Strongly Correlated Electrons Mesoscale and Nanoscale Physics Superconductivity The electric resistivity is examined in the constrained Hilbert space of a doped Mott insulator, which is dictated by a non-Ioffe-Larkin composition rule due to the underlying mutual Chern-Simons topological gauge structure. In the low-temperature pseudogap phase, where holons remain condensed while spinons proliferate, the charge transport is governed by a chiral spinon excitation, comprising a bosonic spin-$1/2$ at the core of a supercurrent vortex. It leads to a vanishing resistivity with the ``confinement'' of the spinons in the superconducting phase but a low-$T$ divergence of the resistivity once the spinon confinement is disrupted by external magnetic fields. In the latter, the chiral spinons will generate a Hall number $n_H =$ doping concentration $ δ$ and a Nernst effect to signal an underlying long-range entanglement between the charge and spin degrees of freedom. Their presence is further reflected in thermodynamic quantities such as specific heat and spin susceptibility. Finally, in the high-temperature spin-disordered phase, it is shown that the holons exhibit a linear-$T$ resistivity by scattering with the spinons acting as free local moments, which generate randomized gauge fluxes as perceived by the charge degree of freedom. |
| title | Electric transport in doped Mott insulators dictated by a non-Ioffe-Larkin composition rule and spinons |
| topic | Strongly Correlated Electrons Mesoscale and Nanoscale Physics Superconductivity |
| url | https://arxiv.org/abs/2406.15553 |