Anantha Hegde
Articles written in Resonance – Journal of Science Education
Volume 27 Issue 10 October 2022 pp 1761-1776 General Article
Exploring Ideas in Topological Quantum Phenomena: A Journey Through the SSH Model. 1
Anantha Hegde Adarsh Kumar Adhip Agarwala Bhaskaran Muralidharan
Geared as an invitation for undergraduates, beginning graduate students, we present a pedagogical introduction to one-dimensional topological phases, particularly the Su--Schrie-ffer--Heeger model. In the process, we delve upon ideas of entanglement using the correlator method and the von-Neumann density-matrix method, geometric phase, polarization, transport signatures and the role of electron-electron interactions. Through hands-on numerical experiments, whose codes are shared (https://github.com/hnoend/SSH_codes), we try to drive home the message of why a program of simulating quantum electronics with topological toy models is the storehouse for discovering fantastic physics ideas.
Volume 27 Issue 11 November 2022 pp 1913-1921 General Article
Exploring Ideas in Topological Quantum Phenomena: A Journey Through the SSH Model. 2
Anantha Hegde Adarsh Kumar Adhip Agarwala Bhaskaran Muralidharan
Geared as an invitation for undergraduates, beginning graduatestudents, we present a pedagogical introduction to one dimen-sional topological phases – in particular the Su-Schrieffer-Heeger model. In the process, we delve upon ideas ofentangleme using the correlatormethod and the von-Neumanndensity-matrix method, geometric phase, polarization, transportsignatures and the role of electron-electron interactions.Thro- ugh hands-on numerical experiments, whose codes areshared, we try to drive home the message why a program ofsimulating quantum electronics with topological toy modelsis the storehouse for discovering fantastic physics ideas.
Volume 27 Issue 12 December 2022 pp 2139-2151 General Article
Exploring Ideas in Topological Quantum Phenomena: A Journey Through the SSH Model. 3
Anantha Hegde Adarsh Kumar, Adhip Agarwala Bhaskaran Muralidharan
Geared as an invitation for undergraduates, beginning graduatestudents, we present a pedagogical introduction to one- dimensionaltopological phases—in particular, the Su–Schrieffer–Heegermodel. In the process, we delve upon ideas of entanglementusing the correlator method and the von-Neumann density matrix method,geometric phase, polarization, transport signaturesand the role of electron-electron interactions. Through hands onnumerical experiments, whose codes are shared, we try todrive home the message why a program of simulating quantumelectronics with topological toy models is the storehouse fordiscovering fantastic physics ideas.
Volume 28 Issue 1 January 2023 pp 55-70 General Article
Exploring Ideas in Topological Quantum Phenomena: A Journey Through the SSH Model. 4
Anantha Hegde Adarsh Kumar Adhip Agarwala Bhaskaran Muralidharan
Geared as an invitation for undergraduates, beginning graduate students, we present a pedagogical introduction to one- dimensional topological phases-in particular, the SuSchrieff er-Heeger model. In the process, we delve upon ideas of entanglement using the correlator method and the vonNeumann density-matrix method, geometric phase, polarization, transport signatures and the role of electron-electron interactions. Through hands-on numerical experiments, whose codes are shared, we try to drive home the message why a program of simulating quantum electronics with topological toy models is the storehouse for discovering fantastic physics ideas.
Volume 28 Issue 3 March 2023 pp 371-388 General Article
Exploring Ideas in Topological Quantum Phenomena: A Journey Through the SSH Model. 5
Anantha Hegde Adarsh Kumar Adhip Agarwala Bhaskaran Muralidharan
Geared as an invitation for undergraduates, beginning graduatestudents, we present a pedagogical introduction to onedimensional topological phases—in particular, the Su–Schrieffer–Heeger model. In the process, we delve upon ideas ofentanglement using the correlator method and the von-Neumanndensity-matrix method, geometric phase, polarization,transport signatures and the role of electron-electron interactions.Through hands-on numerical experiments, whose codesare shared, we try to drive home the message why a programof simulating quantum electronics with topological toy modelsis the store-house for discovering fantastic physics ideas.
Current Issue
Volume 28 | Issue 9
September 2023
© 2023-2024 Indian Academy of Sciences, Bengaluru.