The effect of geometric frustration on some correlated electron systems¶
Rajarshi Tiwari
PHYS08200605004
Harish-Chandra Research Institute, Allahabad
A thesis submitted to the
Board of Studies in Physical Sciences
In partial fulfillment of requirements for the Degree of
DOCTOR OF PHILOSOPHY
of
HOMI BHABHA NATIONAL INSTITUTE
June, 2013
STATEMENT BY AUTHOR¶
This dissertation has been submitted in partial fulfillment of requirements for an advanced degree at Homi Bhabha National Institute (HBNI) and is deposited in the Library to be made available to borrowers under rules of the HBNI.
Brief quotations from this dissertation are allowable without special permission, provided that accurate acknowledgement of source is made. Requests for permission for extended quotation from or reproduction of this manuscript in whole or in part may be granted by the Competent Authority of HBNI when in his or her judgment the proposed use of the material is in the interests of scholarship. In all other instances, however, permission must be obtained from the author.
| Thesis Author: | Rajarshi Tiwari |
DECLARATION¶
I, hereby declare that the investigation presented in the thesis has been carried out by me. The work is original and has not been submitted earlier as a whole or in part for a degree/diploma at this or any other Institution/University.
| Thesis Author: | Rajarshi Tiwari |
Place: ALLAHABAD, INDIA
Certificate¶
This is to certify that the Ph.D. thesis titled ``{\bf The effect of geometric frustration on some correlated electron systems}‘’ by {\bf Rajarshi~Tiwari} is a record of bonafide research work done under my supervision. It is further certified that the thesis represents independent and original work by the candidate.
| Thesis Supervisor: | Prof. Pinaki Majumdar |
Place: ALLAHABAD, INDIA
Acknowledgments¶
Academic:¶
Inspiring through arguments, warning through outcomes, and training for Life (one of his lesser known traits), could be the best description of my advisor. One thing I like about him the most is, his persistence to push my thought process in the right direction. With these compliments, I thank Prof. Pinaki Majumdar for his guidance and support through all these years, part of which led to this thesis.
I thank Prasenjit Sen, for his amazing course on numerical methods, from where large fraction of my programming experience originates. I would also like to thank the members of the condensed matter group, Sumathi Rao, G. V. Pai, T. P. Pareek for what I learnt from them. Interactions with Jayanti, Sudhir Gupta, Shashank Shalger, Anamitra, Kalpataru, Arijit Saha, Bindusaar, Prabuddha, Viveka Nand, Sanjay Amritiya, Girish, Nishita, Shailesh, Sanjoy Dutta, Saurabh, abhishek Joshi, Udit Khanna, Aditya, Utkarsh, Krishamohan, Uttam, Rishu, Siddharth on physics, computation, mathematics and life were blessings. I am thankful to my school friend Mukul Anand, to keep pushing me to go into science. I am thankful to the book seller in Jaunpur besides Nagar Palika inter college, who accidently made me opt science, as he said, and I quote ``Go for science, you may become a Doctor, else you will be a conductor!‘’. I~am in debt to Vivek Tiwari from AU, for being a friend, and a trusted counselor. I am thankful for the HPC clusters at HRI, on which all the numerical calculations relevant to this thesis were done.
Administrative:¶
I thank the administration of HRI, for their help and support. The administration here has a distinctive image of a human resource, that is not only helpful and cooperative, it actually gives you a feel of being at home among family. I specially thank Ravindra Singh, Yashpal Bhadauriya, Ajay Srivastava, Umakant Dwivedi, Amit Roy, Raj Gulati, Archana Tandon, Seema Agrawal, Amit Kulve, Anoop, Sanjeev, Pradeep (Pantry), and Saadhu for their help and support.% during my stay in HRI.
Social life:¶
Life at HRI represents a nice combination of freedom and responsibility. It gave me a lot of experience apart from physics, ranging from fun loving endavours like interest in computer programming, Hindi literature, writing poems in {\it shamshaan}:
शमशान में बुझती लकड़ियों को देखता रहा, मुझको बवख़्त मेरा गुनाह याद आ गया।
to some of the very heavy responsibilities like organizing the marriage of my sister, and later my own. This wasn’t possible without Nani ji, Mama ji, and my friends Rawan (Ram Lal Awasthi), Krodhi (Vikas Chauhan), and Yashpal, Ajay, Umakant, and Pradeep (Pantry).
My advisor Pinaki, my late mother, my maternal uncle {\it Laloo mama}, my maternal gandmother Kalyani Devi, Rawan and my wife Priyanka have been the source of my wisdom, and my conscience. Nobody else, has been able to tolerate me, and stay with me in my worse days.
To my mother
Shashi Bala Tiwari}
Her favourite quote
ऐ मालिक तेरे बंदे हम,
ऐसे हों हमारे करम।
नेकी पर चलें और बड़ी से टलें,
ताकि हँसते हुए निकलें दम।