Saran Vijayan
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Saran Vijayan has a total of 5 co-authors. Here are the top co-authors by number of shared publications:
Fei Zhou
University of British Columbia
4 shared publications- Akhil Alexander
School of Physics, Indian Institute of Science Education and Research (IISER) Thiruvananthapuram, Thiruvananthapuram, India
2 shared publications - Ankur Mandal
School of Physical Sciences, Amity University Punjab, Mohali, India
2 shared publications - Aravind Gopalan
Indian Institute of Technology Madras
2 shared publications - Pranawa C. Deshmukh
Central University of Kerala
2 shared publications
Latest Publications
- 21 January 2026
- Published by American Physical Society (APS) in Physical Review B
- Vol. 113 (4)
Surface topological quantum criticality II: Conformal manifolds, isolated fixed points, and entanglement
- 21 January 2026
- Published by American Physical Society (APS) in Physical Review B
- Vol. 113 (4)
Surface topological quantum criticality II: Conformal manifolds, isolated fixed points, and entanglement
- 2 May 2025
- Published by American Physical Society (APS) in Physical Review B
- Vol. 111 (17)
Surface topological quantum criticality: Conformal manifolds and discrete strong-coupling fixed points
- 2 May 2025
- Published by American Physical Society (APS) in Physical Review B
- Vol. 111 (17)
Surface topological quantum criticality: Conformal manifolds and discrete strong-coupling fixed points
- 1 October 2024
- Published by Springer Nature in Resonance
- Vol. 29 (10) , 1445-1457
Generic Orbits in Central Force Motion Part 2: A Few Numerical Studies
- 1 October 2024
- Published by Springer Nature in Resonance
- Vol. 29 (10) , 1445-1457
Generic Orbits in Central Force Motion Part 2: A Few Numerical Studies
- 18 September 2024
- Published by Springer Nature in Resonance
- Vol. 29 (9) , 1285-1293
Generic Orbits in Central Force Motion Part 1: Problem and Hooke’s Demonstration
- 18 September 2024
- Published by Springer Nature in Resonance
- Vol. 29 (9) , 1285-1293
Generic Orbits in Central Force Motion Part 1: Problem and Hooke’s Demonstration
- 8 April 2024
- Published by American Physical Society (APS) in Physical Review B
- Vol. 109 (14) , 144508
Realizing attractive interacting topological surface fermions: A resonating topological-insulator–thin-film hybrid platform
In this paper, we propose a practical way to realize topological surface Dirac fermions with tunable attractive interaction between them. The approach involves coating the surface of a topological insulator with a thin-film metal and utilizing the strong-electron phonon coupling in the metal to induce interaction between the surface fermions. We found that for a given TI (topological insulator) and thin film, the attractive interaction between the surface fermions can be maximally enhanced when the Dirac point of the TI surface resonates with one of the quasi-2D quantum-well bands of the thin film. This effect can be considered to be an example of quantum-well resonance. We also demonstrate that the superconductivity of the resonating surface fermions can be further enhanced by choosing a strongly interacting thin-film metal or by tuning the spin-orbit coupling of the TI. This TI–thin-film hybrid configuration holds promise for applications in Majorana-based quantum computations and for the study of quantum critical physics of strongly attractively interacting surface topological matter with emergent supersymmetry.
- 8 April 2024
- Published by American Physical Society (APS) in Physical Review B
- Vol. 109 (14) , 144508
Realizing attractive interacting topological surface fermions: A resonating topological-insulator–thin-film hybrid platform
In this paper, we propose a practical way to realize topological surface Dirac fermions with tunable attractive interaction between them. The approach involves coating the surface of a topological insulator with a thin-film metal and utilizing the strong-electron phonon coupling in the metal to induce interaction between the surface fermions. We found that for a given TI (topological insulator) and thin film, the attractive interaction between the surface fermions can be maximally enhanced when the Dirac point of the TI surface resonates with one of the quasi-2D quantum-well bands of the thin film. This effect can be considered to be an example of quantum-well resonance. We also demonstrate that the superconductivity of the resonating surface fermions can be further enhanced by choosing a strongly interacting thin-film metal or by tuning the spin-orbit coupling of the TI. This TI–thin-film hybrid configuration holds promise for applications in Majorana-based quantum computations and for the study of quantum critical physics of strongly attractively interacting surface topological matter with emergent supersymmetry.
- 19 October 2022
- Published by American Physical Society (APS) in Physical Review B
- Vol. 106 (16) , 165118
Interaction bulk-boundary relation and its applications towards symmetry breaking and beyond
In this article, we propose a simple but general scaling relation between interactions in a gapped bulk topological matter and gapless interacting surface states. We explicitly illustrate such a generic bulk-boundary relation (BBR) for a few specific interactions in a topological quantum matter, where we can perform dimensional reduction of a microscopic bulk theory to project out interacting surfaces. We have examined renormalization effects of the gapped bulk fermions on the interacting topological surface fermions. As simple applications, we utilize effective interacting quantum fields implied by BBR to explore feasibility of routes to various fascinating emergent phenomena on surfaces including emergent Majorana fermions induced by spontaneous symmetry breaking. We obtain sufficient conditions for these interacting surface phenomena to take place. We have also found that for given bulk electron-phonon interactions and when , the phonon-mediated interactions on the surface are strongest if the bulk Debye frequency matches , the mass gap of the topological matter.- 19 October 2022
- Published by American Physical Society (APS) in Physical Review B
- Vol. 106 (16) , 165118
Interaction bulk-boundary relation and its applications towards symmetry breaking and beyond
In this article, we propose a simple but general scaling relation between interactions in a gapped bulk topological matter and gapless interacting surface states. We explicitly illustrate such a generic bulk-boundary relation (BBR) for a few specific interactions in a topological quantum matter, where we can perform dimensional reduction of a microscopic bulk theory to project out interacting surfaces. We have examined renormalization effects of the gapped bulk fermions on the interacting topological surface fermions. As simple applications, we utilize effective interacting quantum fields implied by BBR to explore feasibility of routes to various fascinating emergent phenomena on surfaces including emergent Majorana fermions induced by spontaneous symmetry breaking. We obtain sufficient conditions for these interacting surface phenomena to take place. We have also found that for given bulk electron-phonon interactions and when , the phonon-mediated interactions on the surface are strongest if the bulk Debye frequency matches , the mass gap of the topological matter.