Multi-critical topological transition at quantum criticality
Abstract The investigation and characterization of topological quantum phase transition between gapless phases is one of the recent interest of research in topological states of matter. We consider transverse field Ising model with three spin interaction in one dimension and observe a topological tr...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Nature Portfolio
2021-01-01
|
| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-020-80337-7 |
| _version_ | 1818840905674653696 |
|---|---|
| author | Ranjith R. Kumar Y. R. Kartik S. Rahul Sujit Sarkar |
| author_facet | Ranjith R. Kumar Y. R. Kartik S. Rahul Sujit Sarkar |
| author_sort | Ranjith R. Kumar |
| collection | DOAJ |
| description | Abstract The investigation and characterization of topological quantum phase transition between gapless phases is one of the recent interest of research in topological states of matter. We consider transverse field Ising model with three spin interaction in one dimension and observe a topological transition between gapless phases on one of the critical lines of this model. We study the distinct nature of these gapless phases and show that they belong to different universality classes. The topological invariant number (winding number) characterize different topological phases for the different regime of parameter space. We observe the evidence of two multi-critical points, one is topologically trivial and the other one is topologically active. Topological quantum phase transition between the gapless phases on the critical line occurs through the non-trivial multi-critical point in the Lifshitz universality class. We calculate and analyze the behavior of Wannier state correlation function close to the multi-critical point and confirm the topological transition between gapless phases. We show the breakdown of Lorentz invariance at this multi-critical point through the energy dispersion analysis. We also show that the scaling theories and curvature function renormalization group can also be effectively used to understand the topological quantum phase transitions between gapless phases. The model Hamiltonian which we study is more applicable for the system with gapless excitations, where the conventional concept of topological quantum phase transition fails. |
| first_indexed | 2024-12-19T04:17:37Z |
| format | Article |
| id | doaj.art-6473c9ef62724ad3970a6f1c55e2a645 |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-12-19T04:17:37Z |
| publishDate | 2021-01-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-6473c9ef62724ad3970a6f1c55e2a6452022-12-21T20:36:15ZengNature PortfolioScientific Reports2045-23222021-01-0111112010.1038/s41598-020-80337-7Multi-critical topological transition at quantum criticalityRanjith R. Kumar0Y. R. Kartik1S. Rahul2Sujit Sarkar3Department of Theoretical Sciences, Poornaprajna Institute of Scientific ResearchDepartment of Theoretical Sciences, Poornaprajna Institute of Scientific ResearchDepartment of Theoretical Sciences, Poornaprajna Institute of Scientific ResearchDepartment of Theoretical Sciences, Poornaprajna Institute of Scientific ResearchAbstract The investigation and characterization of topological quantum phase transition between gapless phases is one of the recent interest of research in topological states of matter. We consider transverse field Ising model with three spin interaction in one dimension and observe a topological transition between gapless phases on one of the critical lines of this model. We study the distinct nature of these gapless phases and show that they belong to different universality classes. The topological invariant number (winding number) characterize different topological phases for the different regime of parameter space. We observe the evidence of two multi-critical points, one is topologically trivial and the other one is topologically active. Topological quantum phase transition between the gapless phases on the critical line occurs through the non-trivial multi-critical point in the Lifshitz universality class. We calculate and analyze the behavior of Wannier state correlation function close to the multi-critical point and confirm the topological transition between gapless phases. We show the breakdown of Lorentz invariance at this multi-critical point through the energy dispersion analysis. We also show that the scaling theories and curvature function renormalization group can also be effectively used to understand the topological quantum phase transitions between gapless phases. The model Hamiltonian which we study is more applicable for the system with gapless excitations, where the conventional concept of topological quantum phase transition fails.https://doi.org/10.1038/s41598-020-80337-7 |
| spellingShingle | Ranjith R. Kumar Y. R. Kartik S. Rahul Sujit Sarkar Multi-critical topological transition at quantum criticality Scientific Reports |
| title | Multi-critical topological transition at quantum criticality |
| title_full | Multi-critical topological transition at quantum criticality |
| title_fullStr | Multi-critical topological transition at quantum criticality |
| title_full_unstemmed | Multi-critical topological transition at quantum criticality |
| title_short | Multi-critical topological transition at quantum criticality |
| title_sort | multi critical topological transition at quantum criticality |
| url | https://doi.org/10.1038/s41598-020-80337-7 |
| work_keys_str_mv | AT ranjithrkumar multicriticaltopologicaltransitionatquantumcriticality AT yrkartik multicriticaltopologicaltransitionatquantumcriticality AT srahul multicriticaltopologicaltransitionatquantumcriticality AT sujitsarkar multicriticaltopologicaltransitionatquantumcriticality |