Personal Information

Dr. Rakesh Kumar

Assistant Professor
Department of Physics

Ph.D. (JNU, New Delhi), Research Associate (UNSW, Sydney), Visiting Scholar (JNU, New Delhi), Research Fellow (NTU, Singapore)

rkumar@curaj.ac.in

Correlated many-body systems: topological phases in spin, boson, and fermion systems

Numerical techniques: exact diagonalization, quantum Monte Carlo methods, and DMRG.

1998 - 2001: B.Sc. (Physics & Mathematics), University of Allahabad, Allahabad (India).

2001 - 2003: M.Sc. (Physics), University of Allahabad, Allahabad (India).

2005 - 2011: Ph.D. (Physics), Jawaharlal Nehru University, New Delhi (India).
                       Thesis advisor: Professor Brijesh Kumar
                       Thesis title: Studies on low-dimensional dimerized quantum antiferromagnets
 
Nov 2011 - Nov 2013: Research Associate, University of New South Wales, Sydney (Australia).
                                       Research advisor: Professor Oleg P. Sushkov
 
Feb 2014 - Aug 2014: Visiting Scholar, Jawaharlal Nehru University, New Delhi (India).
                                      Research advisor: Professor Brijesh Kumar
 
Dec 2014 - Jan 2017:  Research Fellow, Nanyang Technological University, Singapore.
                                      Research advisor: Professor Pinaki Sengupta
 
Jan 2017 - present: Assistant Professor, Central University of Rajasthan
                                   Department of Physics, Ajmer-305801, Rajasthan (India)

 

I work on theoretical condensed matter physics. In past, we have worked on quantum spin models with exact dimer ground states using triplon mean-field theory and exact diagonalization. Currently, our interest is to analyze various (topological and non-topological) phases in correlated matters, analytically as well as numerically. 

S. No. Authors Title of Article Journal/Conference Details Journal/Conference Publication Year
1 Rakesh Kumar and Brijesh Kumar Fourfold degenerate columnar-dimer ground state in square lattice antiferromagnets Phys. Rev. B 77, 144413 (2008). Journal 2008
2 Rakesh Kumar, Dushyant Kumar, and Brijesh Kumar Honeycomb antiferromagnet with a triply degenerate dimer ground state Phys. Rev. B 80, 214428 (2009). Journal 2009
3 Rakesh Kumar and Brijesh Kumar Triplon mean-field analysis of an antiferromagnet with degenerate Shastry–Sutherland ground states J. Phys. Commun. 1, 055020 (2017). Journal 2017
  1. Rakesh Kumar and Brijesh Kumar, Fourfold degenerate columnar-dimer ground state in square lattice antiferromagnets, Phys. Rev. B 77, 144413 (2008).

  2. Rakesh Kumar, Dushyant Kumar, and Brijesh Kumar, Honeycomb antiferromagnet with a triply degenerate dimer ground state, Phys. Rev. B 80, 214428 (2009).

  3. Rakesh Kumar and Brijesh Kumar, Triplon mean-field analysis of an antiferromagnet with degenerate Shastry–Sutherland ground states, J. Phys. Commun. 1, 055020 (2017).

 

 

Attended

  1. 4th SERC School in Condensed Matter and Material Physics (Special Theme: Magnetism and Superconductivity), University of Hyderabad, Hyderabad, India. (13th November – 9th December 2006)

  2. Indian National Science Academy and Hungarian Academy of Sciences Sponsored Work-shop on Condensed Matter Research: Magnetic Materials, University of Hyderabad, Hyderabad, India. (4th December 2006)

  3. School on“Numerical Quantum Many-body Methods in Physics and Chemistry”, JNCASR, Bangalore, India. (29th October – 3rd November 2007)

  4. Conference on “Non-Equilibrium Phenomena in Condensed Matter”, INSA, New Delhi, India. (21-23 February 2008)

  5. Conference on “Modern Trends in Chemistry”, SPS,JNU,NewDelhi,India.(14-15March, 2008)

  6. Workshop on “Entanglement in Quantum Condensed Matter Systems”, IMSc, Chennai, India. (17-29 November 2008)

  7. Conference on “Recent Developments in Quantum Condensed Matter”, Jawaharlal Nehru University, New Delhi, India. (5-7 March 2009)

  8. Conference on“Soft Condensed Matter Physics”,SPS,JNU,NewDelhi,India.(4-5March, 2010)

  9. ICTS Condensed Matter Programme 2010, InfoSys Campus, Mysore, India. (12-23 December, 2010)

  10. WorkshoponSynergiesbetweenFieldTheoryandExactComputationalMethodsinStrongly Correlated Quantum Matter, ICTP, Trieste (Italy). (24-29 July 2011)

  11. 36th Annual Condensed Matter & Material Meeting in Wagga Wagga (Australia). (31 January to 3 February 2012)

  12. 37th Annual Condensed Matter & Material Meeting in Wagga Wagga (Australia). (5 - 8 February 2013)

  13. Conference on 60 Years of Yang-Mills Gauge Field Theories, Nanyang Technological University, Singapore. (25 to 28 May 2015)

  14. Joint IAS-ICTP School on Quantum Information Processing, Nanyang Technological University, Singapore. (18 – 29 January 2016)

  15. Memorial Meeting for Nobel Laureate Professor Abdus Salam’s 90th Birthday, Nanyang Technological University, Singapore. (25 - 28 January 2016)

  16. Institute of Physics Singapore meeting 2016, Singapore University of Technology and Design, Singapore. (7 - 8 March 2016)

Poster Presentations:

  1. “Triplon mean-field theory of spin-1/2 quantum antiferromagnets with degenerate dimer ground states on the square lattice” at Workshop on “Entanglement in Quantum Condensed Matter Systems”, IMSc, Chennai, India. (17-29 November 2008)

  2. “Honeycomb quantum antiferromagnet with triply degenerate dimer ground state” at ICTS Condensed Matter Programme 2010, InfoSys Campus, Mysore, India. (12-23 December 2010)

  3. “Triplon mean-field theory of an antiferromagnetic model with an exact fourfold degenerate Shastry-Sutherland ground state” at Workshop on Synergies between Field Theory and Exact Computational Methods in Strongly Correlated Quantum Matter, ICTP, Trieste (Italy). (24-29 July 2011)

  4. “Condensation of composite objects in Heisenberg-like models” at 36th Annual Condensed Matter & Material Meeting in Wagga Wagga (Australia). (31 January to 3 February 2012)

  5. “Skyrmion liquid and skyrmion glass in the spin spiral state of underdoped cuprates” at 37th Annual Condensed Matter & Material Meeting in Wagga Wagga (Australia). (5 - 8 February 2013)

Talk Presentations:

  1. “Quantum phase transitions studies of some low-dimensional exactly solvable dimerized quantum antiferromagnets”. Random Interactions Seminar in Department of Theoretical Physics, TIFR, India. (3 August 2011)

  2. “Strange correlator probe in transverse field Ising model”. Contributed talk in IPS meeting 2016, Singapore University of Technology and Design, Singapore. (7 - 8 March 2016)

  3. “Investigation of transverse field Ising model using strange correlator probe”. Oral talk present in National Symposium on “Technologically advanced functional materials” at Central University of Rajasthan, India. (March 16-17, 2017)

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Personal webpage https://sites.google.com/site/qcmrakesh/