**Room:** B430 Engineering Quadrangle

**Phone:** 609-258-1819

**Email:** ravin@princeton.edu

- Ph.D., University of Illinois, Urbana, 1976
- M.S., Physics, University of Illinois, Urbana, 1974
- B.Sc. Hons., Physics, University of Delhi, India, 1971

My research specialty is theoretical condensed matter (solid state) physics. In recent years, our group has worked mainly on the physics of topological materials, most especially the quantum Hall regime of two-dimensional electronic systems (e.g. semiconductor heterostructures or graphene, subject to a strong perpendicular magnetic field). We also study highly disordered electronic and magnetic systems (exploring phenomena such as single-particle and many-body localization), as well as solid-state systems for spin-based and topological quantum computation. Our research combines analytic and computational methods, including the concept of scaling, Density Matrix Renormalization Group, Strong Disorder Renormalization Group, Monte Carlo Methods, Transfer Matrix Methods and Sparse Matrix Diagonalization.

Besides being Professor of Electrical Engineering, Bhatt is Associated faculty in Physics. He was Director of the Princeton Center for Complex Materials (1999-2005), Faculty Fellow and Acting Associate Director of the Princeton Center for Theoretical Science (2005-2012), and prior to joining Princeton, Head of Theoretical Physics Research at Bell Laboratories.

- Fellow, American Association for Advancement of Science (2004)
- Sigma Xi Award for Contributions to Science Education (2002)
- EPSRC Senior Visiting Fellowship, United Kingdom (2000)
- John Simon Guggenheim Foundation Fellowship (1995)
- Award for Contributions to Physics, American Chapter - Indian Physics Assoc. (1992)
- Individual & Group Performance Awards, AT&T Bell Laboratories (1987-89)
- Fellow, American Physical Society Fellow (1986)
- SERC Senior Visiting Fellowship, United Kingdom (1984)

Integer Quantum Hall Transition in a

*fraction*of a Landau Level, Matteo Ippoliti, Scott D. Geraedts and R. N. Bhatt, arXiv:1711.04688 (accepted for publication in Physical Review B - Editor's Suggestion)Fast Preparation of Critical Ground States using Superluminal Fronts, Kartiek Agarwal, R. N. Bhatt and S. L. Sondhi, arXiv:1710.09840.

Disordered Quantum Spin Chains with Long-Range Antiferromagnetic Interactions, N. Moure, H.-Y. Lee, S. Haas, R. N. Bhatt and S. Kettemann, arXiv:1709.01460 (accepted for publication in Physical Review B)

Heitler-London Model for Acceptor-Acceptor Interactions in Doped Semiconductors, Adam C. Durst, Kyle E. Castoria and R. N. Bhatt, Physical Review B

**96**, 155208 (2017).Composite Fermions in Bands with N-fold Rotational Symmetry, Matteo Ippoliti, Scott D. Geraedts and R. N. Bhatt, Physical Review B

**96**, 115151 (2017).Evolution of Quantum Entanglement with Disorder in Fractional Quantum Hall Liquids, Zhao Liu and R. N. Bhatt, Physical Review B

**96**, 115111 (2017).Connection between Fermi Contours of Zero-field Electrons and ν = 1/2 Composite Fermions in two-dimensional Electron Systems, Matteo Ippoliti, Scott D. Geraedts and R. N. Bhatt, Physical Review B

**96**, 045145 (2017).Localization and Transport in a Strongly Driven Anderson Insulator, Kartiek Agarwal, Sriram Ganeshan and R. N. Bhatt, Physical Review B

**96**, 014201 (2017).Numerical Study of Anisotropy in a Composite Fermi Liquid, Matteo Ippoliti, Scott D. Geraedts and R. N. Bhatt, Physical Review B

**95,**201104 (Rapid Communication) (2017).Emergent Local Integrals of Motion without a Complete Set of Localized Eigenstates Scott D. Geraedts, R. N. Bhatt and Rahul Nandkishore, Physical Review B

**95,**064204 (2017).Absence of Many-Body Localization in a Single Landau Level, Scott D. Geraedts and R. N. Bhatt, Physical Review B

**95**, 054303 (2017)Quantum Entanglement as a Diagnostic of Phase Transitions in Disordered Fractional Quantum Hall Systems, Zhao Liu and R. N. Bhatt, Physical Review Letters

**117,**206801 (2016) – Editor’s Suggestion.Surface Code Architecture for Donors and Dots in Silicon with Imprecise and Non-uniform Qubit Couplings, G. Pica, B. W. Lovett, R. N. Bhatt, T. Schenkel and S. A. Lyon, Physical Review B

**93,**035306 (2016).Probing the Geometry of the Laughlin State, Sonika Johri, Zlatko Papic, P. Schmitteckert, R. N. Bhatt and F. D. M. Haldane), New Journal of Physics

**18,**025011 (2016) -Focus Issue on Topological Physics: from Condensed Matter to Cold Atoms and Optics, Invited Paper.Many-Body Localization in Imperfectly Isolated Quantum Systems, Sonika Johri, Rahul Nandkishore and R. N. Bhatt, Physical Review Letters

**114**, 117401 (2015).Characterization of Quasiholes in Fractional Chern Insulators, Zhao Liu, R. N. Bhatt and Nicolas Regnault, Physical Review B

**91**, 045126 (2015).Matrix-Product-State Algorithm for Finite Fractional Quantum Hall Systems, Zhao Liu and R. N. Bhatt, Journal of Physics, Conf. Ser. 640, 012044 (2015).

Hyperfine Stark Effect of Shallow Donors in Silicon, G. Pica, G. Wolfcowicz, M. L. W. Thewalt, H. Riemann, N. V. Abrosimov, P. Becker, H.-J. Pohl, J. J. L. Morton, R. N. Bhatt, S. A. Lyon and B. W. Lovett, Physical Review B

**90**, 195204 (2014).Large Disorder Renormalization Group Study of the Anderson Model of Localization, Sonika Johri and R. N. Bhatt, Physical Review B

**90**, 060205 (2014) – Rapid Communication.Exchange Coupling Between Silicon Donors: the Crucial Role of the Central Cell and Mass Anisotropy, G. Pica, B. W. Lovett, R. N. Bhatt and S. A. Lyon, Physical Review B

**89**, 235306 (2014).Quasiholes of 1/3 and 7/3 Quantum Hall States: Size Estimates via Exact Diagonalization and Density-Matrix Renormalization Group, Sonika Johri, Zlatko Papic, R. N. Bhatt and P. Schmitteckert, Physical Review B

**89**, 115124 (2014).Common Path Interference in Zener Tunneling is a Universal Phenomenon, (with Sonika Johri, Rahul Nandkishore, and E. J. Mele), Physical Review

**B 87,**23413 (2013). [Editor’s Suggestion].“Rare” Fluctuation Effects in the Anderson Model of Localization, R. N. Bhatt and Sonika Johri), International Journal of Modern Physics: Conference Series

**11**, 79 (2012) – Proceedings of Localization 2011 Conference.Comparison of the Density-Matrix Renormalization Group Method applied to Fractional Quantum Hall Systems in Different Geometries, Zi-Xiang Hu, Z. Papic, S. Johri, Peter Schmitteckert and R. N. Bhatt, Physics Letters A

**376,**2157 (2012).Singular Behavior of Anderson-localized wavefunctions for a two-site model, Sonika Johri and R. N. Bhatt, Physical Review B

**86,**125140 (2012).Band Mass Anisotropy and the Intrinsic Metric of Fractional Quantum Hall Systems, Bo Yang, Z. Papic, E. H. Rezayi, R. N. Bhatt and F. D. M. Haldane, Physical Review B

**85,**165318 (2012).Singular Behavior of Eigenstates in Anderson’s Model of Localization, S. Johri and R. N. Bhatt, Physical Review Letters

**109**, 076402 (2012).Numerical Studies of the Fractional Quantum Hall Effect in Systems with Tunable Interactions, Z. Papic, D. A. Abanin, Y. Barlas and R. N. Bhatt, Journal of Physics Conference Series

**402**, 012020 (2012).Stability of the k=3 Read-Rezayi State in Chiral Two-dimensional Systems with Tunable Interactions, D. A. Abanin, Z. Papic, R. N. Bhatt and Y. Barlas - New Journal of Physics

**14**, 025009 (2012) - Focus Issue on Topological Quantum Computation.Universal Edge Physics in Fractional Quantum Hall Liquids, Zi-Xiang Hu, R. N. Bhatt, Xin Wan and Kun Yang, Journal of Physics Conference Series

**402**, 012017 (2012).