Dimensional reduction of Kitaev spin liquid at quantum criticality
We investigate the fate of the Kitaev spin liquid (KSL) under the influence of an external magnetic field h in the [001] direction and upon tuning bond anisotropy of the Kitaev coupling K_{z} keeping K_{x}=K_{y}=K. Guided by density matrix renormalization group, exact diagonalization, and with insig...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2024-03-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.6.013298 |
| _version_ | 1797210242415591424 |
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| author | Shi Feng Adhip Agarwala Nandini Trivedi |
| author_facet | Shi Feng Adhip Agarwala Nandini Trivedi |
| author_sort | Shi Feng |
| collection | DOAJ |
| description | We investigate the fate of the Kitaev spin liquid (KSL) under the influence of an external magnetic field h in the [001] direction and upon tuning bond anisotropy of the Kitaev coupling K_{z} keeping K_{x}=K_{y}=K. Guided by density matrix renormalization group, exact diagonalization, and with insights from parton mean-field theory, we uncover a field-induced gapless-to-gapless Lifshitz transition from the nodal KSL to an intermediate gapless phase. The intermediate phase sandwiched between h_{c1} and h_{c2}, which persists for a wide range of anisotropy K_{z}/K>0, is composed of weakly coupled one-dimensional quantum critical chains. This intermediate phase is a dimensional crossover, which asymptotically leads to the one-dimensional quantum Ising criticality characterized by the (1+1)D conformal field theory as the field reaches the phase transition at h_{c2}. Beyond h_{c2} the system enters a partially polarized phase describable as effectively decoupled bosonic chains in which spin waves propagate along the one-dimensional zigzag direction. Our findings provide a comprehensive phase diagram and offer insights into the unusual physics of dimensional reduction generated by a uniform magnetic field in an otherwise two-dimensional quantum spin liquid. |
| first_indexed | 2024-04-24T10:07:29Z |
| format | Article |
| id | doaj.art-8339b68e5aa34da3af9bd1390ff89f5c |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:07:29Z |
| publishDate | 2024-03-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-8339b68e5aa34da3af9bd1390ff89f5c2024-04-12T17:40:34ZengAmerican Physical SocietyPhysical Review Research2643-15642024-03-016101329810.1103/PhysRevResearch.6.013298Dimensional reduction of Kitaev spin liquid at quantum criticalityShi FengAdhip AgarwalaNandini TrivediWe investigate the fate of the Kitaev spin liquid (KSL) under the influence of an external magnetic field h in the [001] direction and upon tuning bond anisotropy of the Kitaev coupling K_{z} keeping K_{x}=K_{y}=K. Guided by density matrix renormalization group, exact diagonalization, and with insights from parton mean-field theory, we uncover a field-induced gapless-to-gapless Lifshitz transition from the nodal KSL to an intermediate gapless phase. The intermediate phase sandwiched between h_{c1} and h_{c2}, which persists for a wide range of anisotropy K_{z}/K>0, is composed of weakly coupled one-dimensional quantum critical chains. This intermediate phase is a dimensional crossover, which asymptotically leads to the one-dimensional quantum Ising criticality characterized by the (1+1)D conformal field theory as the field reaches the phase transition at h_{c2}. Beyond h_{c2} the system enters a partially polarized phase describable as effectively decoupled bosonic chains in which spin waves propagate along the one-dimensional zigzag direction. Our findings provide a comprehensive phase diagram and offer insights into the unusual physics of dimensional reduction generated by a uniform magnetic field in an otherwise two-dimensional quantum spin liquid.http://doi.org/10.1103/PhysRevResearch.6.013298 |
| spellingShingle | Shi Feng Adhip Agarwala Nandini Trivedi Dimensional reduction of Kitaev spin liquid at quantum criticality Physical Review Research |
| title | Dimensional reduction of Kitaev spin liquid at quantum criticality |
| title_full | Dimensional reduction of Kitaev spin liquid at quantum criticality |
| title_fullStr | Dimensional reduction of Kitaev spin liquid at quantum criticality |
| title_full_unstemmed | Dimensional reduction of Kitaev spin liquid at quantum criticality |
| title_short | Dimensional reduction of Kitaev spin liquid at quantum criticality |
| title_sort | dimensional reduction of kitaev spin liquid at quantum criticality |
| url | http://doi.org/10.1103/PhysRevResearch.6.013298 |
| work_keys_str_mv | AT shifeng dimensionalreductionofkitaevspinliquidatquantumcriticality AT adhipagarwala dimensionalreductionofkitaevspinliquidatquantumcriticality AT nandinitrivedi dimensionalreductionofkitaevspinliquidatquantumcriticality |