Summary

Ramamurti Shankar is the John Randolph Huffman Professor of Physics at Yale University, in New Haven, Connecticut. His research is in theoretical condensed matter physics, although he is also known for his earlier work in theoretical particle physics. In 2009, Shankar was awarded the Julius Edgar Lilienfeld Prize from the American Physical Society for "innovative applications of field theoretic techniques to quantum condensed matter systems". He received his B. Tech in electrical engineering from the Indian Institute of Technology in Madras and his Ph.D. in theoretical particle physics from the University of California, Berkeley (1974). He joined the Yale faculty in 1977 after three years at the Harvard Society of Fellows. He is dedicated to teaching and has published two texts: Principles of Quantum Mechanics and Basic Training in Mathematics: A Fitness Program for Science Students.

Ramamurti Shankar is the John Randolph Huffman Professor of Physics at Yale University, in New Haven, Connecticut. His research is in theoretical condensed matter physics, although he is also known for his earlier work in theoretical particle physics. In 2009, Shankar was awarded the Julius Edgar Lilienfeld Prize from the American Physical Society for "innovative applications of field theoretic techniques to quantum condensed matter systems". He received his B. Tech in electrical engineering from the Indian Institute of Technology in Madras and his Ph.D. in theoretical particle physics from the University of California, Berkeley (1974). He joined the Yale faculty in 1977 after three years at the Harvard Society of Fellows. He is dedicated to teaching and has published two texts: Principles of Quantum Mechanics and Basic Training in Mathematics: A Fitness Program for Science Students.

Current Institution | Yale University |

Department | Physics |

Disciplines | Physical Sciences: Physics |

Birthday | April 28,1947 |

Address | 217 Prospect Street Sloane Physics Laboratory 55, P.O. Box 208284 New Haven Connecticut 06511 United States Phone: 203-432-6917 |

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### University of California at Berkeley

Ph.D.,

Theoretical Particle Physics

(1974)

### Indian Institute of Technology in Madras

B. Tech,

Electrical Engineering

(1969)

Publication Summary

**Books**

- Principles of Quantum Mechanics (Plenum 1980), Second Edition (Plenum 1994), Polish
- Edition (Springer 2006), Indian Edition ( Springer-Prism Books 2007).
- Basic Training in Mathematics ( Plenum 1995).

**Publications**

- Feedback Model of Systems Obeying Quantum Statistical Mechanics J. Stat. Phys. 14, 61, (1972).
- Clari¯cation of Multi-Regge Theory, Phys. Rev. D7, 3513, (1973).
- Can and Does the Pomeron Occur More Than Once in a Single Process? Nucl. Phys. B63, (1974).
- Role of the Pion Mass in Triple-Regge Physics, Nucl. Phys. B79, 126, (1974).
- Missing Mass as an Alternative to Rapidity in the Experimental Study of Diraction, with D.M. Chew, Phys. Rev. D11, 1036, (1975).
- Electromagnetic Decay of the New Heavy Resonances at 3:1 and 3:7 Gev. with J. Borenstein, Phys. Rev. Lett., 34, 752, (1975).
- Question of Parity Violation in e+e¡ Annihilation, with A. de Rujula and S.L. Glashow, Phys. Rev. D14, 752, (1976).
- More SO(3) Monopoles, Phys. Rev. D14, 1107, (1976).
- Determination of the Quark Gluon Coupling Constant, Phys. Rev. D15, 755, (1977).
- Application of Topology to the Study of Ordered Systems, J. de Physique 38, 1405, (1977).
- S-matrix of the Supersymmetric Sigma Model, with E. Witten, Phys. Rev. D17, 2134, (1978).
- The S-matrix of the Kinks of the (ÃÃ)2 Model, with E. Witten, Nucl. Phys. B141, 349, (1978).
- Exact S-matrices in two-dimensional Field Theory- (Invited talk given at the APS meeting, Washington DC, April 78) YTP COO-3075-199.
- A General Scheme for the Computation of Instanton E®ects, with T. Appelquist, Phys. Lett. 78B, 468, (1978).
- A General Approach to the Computation of Instanton E®ects, with T. Appelquist, Phys. Rev. D18, 2952, (1978).
- On Gauge Theories with Heavy Higgs Bosons, with T. Appelquist, Nucl. Phys. B158, 319, (1979).
- Some Novel Features of the Gross-Neveu Model, Phys. Lett. 92B, 333, (1980).
- Bohr-Sommer¯eld Quantization of Pseudospin Hamiltonian, Phys. Rev. Lett. 45, 1088, (1980). Reprinted in Coherent States, Editors-J.R. Klauder and B.S. Skagerstam, World Scienti¯c, Singapore.
- PRINCIPLES OF QUANTUM MECHANICS, Plenum Press, New York (1980).
- Solvable Models with Self-triality in Statistical Mechanics and Field Theory, Phys. Rev. Lett. 46, 379, (1981).
- A Model that Acquires Integrability and O(2N) Invariance at a Critical Coupling, Phys. Lett. 102B, 257, (1981).
- A Simple Derivation of the Baxter Model Free Energy, Phys. Rev. Lett. 47, 1177, (1981).
- Self-triality in Statistical Mechanics and Field Theory, Proceedings of the XI-Conference on Group Theoretic Methods, Istanbul, Springer Verlag (1982).
- On the Solution of Some Vertex Models Using Factorizable S-Matrices, J. Stat. Phys. 29, 649 (1982).
- Self-triality of the Ashkin-Teller Model, Phys. Rev. Lett. 50, 787, (1983).
- Solution of a Factorizable S-Matrix and an Asymmetric Eight-vertex Model, with M. Doria, J. Stat. Phys. 33, 695 (1983).
- Response to a comment by de Felicio and Libero, regarding ref. 25; Phys. Rev. Lett. 51, 2230, (1983).
- Solvable Analog to Quantum Chromodynamics, Phys. Rev. Lett. 53, 2363, (1984).
- Commensurate-incommensurate and disordering transitions in an exactly solved model of uniaxial adsorbates, with M. Kardar, J. Phys. C18, L5 (1985).
- New Commensurate-incommensurate and disordering transitions in an exactly solved model of adsorbed layers, with M. Kardar, Phys. Rev. B31, 1525, (1985).
- Statistical behaviour in deterministic quantum systems with few degrees of freedom, with R.V. Jensen, Phys. Rev. Lett. 54, 1879 (1985).
- Possible tests and improvements for blockspin Monte Carlo studies, with G. Murthy, Phys. Rev. Lett. 54, 1110, (1985).
- Ashkin-Teller and Gross-Neveu Models: New Results and Relations, Phys. Rev. Lett. 55, 453, (1985).
- Tests for Monte Carlo Renormalization Studies on Ising Models, with G. Murthy, J. Stat. Phys. 42, 275, (1985).
- Redundant Operators for Ising Spins, with G. Murthy, Phys. Rev. B32, 5851 (1985).
- Dealing with Truncation in Monte Carlo Renormalization Group Calculations, with G. Murthy and R. Gupta, Phys. Rev. Lett. 55, 1812, (1985).
- Clear Evidence of Redundant Operators in the Monte Carlo Study of the d = 2 Ising Model, with R. Gupta, in Rapid Communications Phys. Rev. B32, 6084 (1985).
- Truncation Errors in Monte Carlo Renormalization Group - A Comparative Study, Phys. Rev. B33, 6515, (1986).
- Solvable Case of a Spin-1 Model in a Magnetic Field, Phys. Lett. A 117, 365, (1986).
- Frustrated Nearest-Neighbor d=2 Ising Model: Exact Results; with G. Murthy, Phys. Rev. B35, Rapid Communications, 3671, (1987).
- Nearest Neighbor Frustrated Random-Bond Model in d=2: Some Exact Results; with G. Murthy, Phys. Rev. B36, 536, (1987).
- Exact Critical Behavior of a Random-Bond Two- dimensional Ising Model, Phys. Rev. Lett. 58, 2466, (1987).
- Superconductivity of Itinerant Electrons Coupled to Spin Chains, with Subir Sachdev, Phys. Rev. B38, 826, (1988).Also to be reprinted in Interacting Electrons in r
- What is the Lowest Spin for Which Neel Order is Possible in the D = 2 Heisenberg Model?; with G. Murthy, Phys. Lett. A137, 2652, (1989).
- Spin 1=2 Antiferromagnetic XXZ Chain : New Results and Insights, with R.R.P Singh and M.E.Fisher, Phys.Rev. B 39, 2652, (1989).
- Hole Motion in Quantum Antiferromagnets: New Approach and Exact Results; Phys.Rev.Lett; 63, 203, (1989) .
- The µ = ¼ Sigma Model is Massless; with N. Read, Nucl.Phys. B.330 , 433, 1990.
- Holes in a Quantum Antiferromagnet : A Formalism and Some Exact Results, Nucl. Phys.B130 , 433, (1990).
- Statistical Mechanics of Random Systems : IXth International Conference on Mathematical Physics Edited by B.Simon, A.Truman, and I.M.Davis, Adam Hilger, (1989).
- Symmetry Breaking in Mott Insulators, with D. H. Lee Phys.Rev. Lett; 65, 1490, (1990).
- A Solvable Model of the Metal Insulator Transition, Intl.J.Mod.Phys.,B4, 2371, June 1990.
- Renormalization Group for Interacting Fermions in d > 1., Physica A177, 530, (1991).
- Bosonization: How to make it work for you in Condensed Matter Physics, Lectures given at the Katmandu Summer School, 1990 in Current Topics in Condensed Matter and
- PRINCIPLES OF QUANTUM MECHANICS, Second Edition, Plenum (1994).
- Renormalization Group Approach to Interacting Fermions, Rev. Mod. Phys. 66, 129, (1994).
- The Integer Quantum Hall Transition: New Approach and Exact Results, with A.W.W.Ludwig, M.P.A.Fisher and G.Grinstein, Phys. Rev. B 50 , 7526 , (1994).
- Finite Temperature Properties of Quantum Antiferromagnets in a Uniform Field in One and Two Dimensions, with S.Sachdev and T.Senthil, Phys. Rev. B 50 , 258, (1994)
- Coulomb Interaction is Screened in Bosonized Fermi Liquids, with A.Houghton, H.J.Kwon, and B.Marston, J.Phys. C J.Phys. Cond. Matt., 6, 4909, 1994. cond-matt 93120
- Thomas Precession, Berry Potential and the Meron, with Harsh Mathur. Phys. Rev. Lett., 73, 1565, (1994). Cond-matt 9403076.
- A Condensed Matter Analog of QCD with Quarks, Int. J. Mod. Phys. 8, 417, 1994.
- BASIC TRAINING IN MATHEMATICS - A Fitness Program for Science Students, Plenum Publishers, New York (1995).
- Novel phases of planar fermionic systems, with G.Murthy, Journal of Physics - Condensed Matter, 7, 9155, (1995).
- Elective Field Theory in Condensed Matter Physics, Invited lecture given at the Conceptual Foundations of Quantum Field Theory, Editor T.Y.Tao, Cambridge Universit
- Encyclopedia articles on Quantum Mechanics, Quantum Mechanics and Quantum Field Theory, Quantum Field Theory, Planck's Constant and Quantization, Macmillan,1996.
- Phase Transitions in Quantum Spin Ladders, with M.A. Martin-Delgado and G.Sierra, Phys. Rev. Lett. 73, 3443, (1996) - condmat-9605035.
- Field Theory of the Fractional Quantum Hall Eect, with Ganpathy Murthy, Phys. Rev. Lett , 79 , 4437, (1997) Condmat-9702098.
- Field Theory of the Fractional Quantum Hall E®ect, in Composite Fermions, editor, Olle Heinonen, World Scienti¯c. condmat-9802244.
- Response to comment on Phys. Rev. Lett , 79 , 4437, (1997) by Halperin and Stern, with Ganpathy Murthy, Phys. Rev. Lett , 80 , 5458, (1998).
- Scaling relations for gaps in the fractional quantum Hall states, with G. Murthy, K. Park and J.K. Jain, Phys. Rev.B 58 , 15363, ,(1998).
- Hamiltonian description of Composite Fermions: calculation of gaps, with G. Murthy, Phys. Rev.B 59 , 12260, (1999).
- Hamiltonian description of Composite Fermions: Aftermath, Phys. Rev. Lett 83, 2382 (1999), cond-mat 9903064. 5
- Magnetic phenomena at and near º = 1=2 and 1=4: theory, experiment and interpretation. Phys. Rev. Lett , 84 , 3946, (2000) cond-mat 9911288.
- Luttinger revisited- the renormalization group approach, Invited contribution to the Journal of Statistical Physics issue in honor of J. Luttinger. August 2000.
- Hamiltonian theory of gaps, masses and polarization in quantum Hall states, condmat/0009361.Phys. Rev., B63 , 085322, (2001).
- Hamiltonian theory of the Fractional Hall E®ect, Int. J. Mod. Phys. 15, ,2001.
- Theories of the Fractional Quantum Hall E®ect, cond-mat 0108271. Based on Cargese Lectures, May 2001.
- E®ects of Landau Level Mixing, with Ganpathy Murthy, Phy. Rev. B 65, 245309, 2002.
- Hamiltonian theories of the FQHE, with Ganpathy Murthy, Rev. Mod. Phys. 75, 1101 (2003)
- "Quantum Field Theory" for the Encyclopedia of Elementary Particle Physics, Macmillan, 2002.
- Quantum Dots with Disorder and Interactions: A Solvable Large-g Limit, with Ganpathy Murthy, Phys. Rev. Lett. 90, 066801, 2003.
- Globalization and Science: A speeded up virtuous cycle, Yale Global on line, March 28, 2003.
- A solvable regime of disorder and interactions in ballistic nanostructures, PartI:consequences
- Coulomb blockade,with Ganpathy Murthy, Damir Herman and Harsh Mathur, condmat0306529, Physical Review B69 075321, (2004).
- Renormalization group approach to strongly coupled superconductors, with S.W Tsai, A.H. Castro Neto and D.K. Campbell, cond-mat/0406174, to appear in Phys. Rev. B
- The Renormalization Group Approach- From Fermi Liquids to Quantum Dots, Springer Lecture Notes in Physics, 667, (2005), Editor: D.Hess. Based on lectures given at
- On the assignment P = ¡i¹hd=dx::, Mc Graw Hill Encyclopedia of Science, March, 2005.
- Ballistic Chaotic quantum dots with interactions: a numerical study of the Robnick Berry billiard, with G. Murthy and Harsh Mathur, Phys. Rev B 72, 075364, (2005).
- Decon¯nement in d = 1: a closer look, with G. Murthy, cond-mat 0508242, Phys. Rev. B 72, 224414, (2005).
- Strong coupling superconductivity via an asymptotically exact renormalization group approach, with S.W Tsai, A.H. Castro Neto and D.K. Campbell, Journal of Physics
- Dots for Dummies, in Festschrift for Pierre Hohenberg and James Langer. J. Stat. Phys., 125, 1177, (2006).
- Renormalization group approach to superconductivity from weak to strong electronphonon coupling, with S.W Tsai, A.H. Castro Neto and D.K. Campbell, Phil. Mag., 86,
- Large spin-orbit e®ects in small quantum dots, with G. Murthy, cond-mat 0609460, Phys. Rev. B 75, 075327 (2007).
- MECHANIKA KWANTOWA, (2006) Polish Translation of Principles of Quantum Mechanics.
- Hamiltonian theory of the half-¯lled Landau level with disorder: Application to recent 6 NMR data with by Ganpathy Murthy, Phys. Rev. B 76, 075341, (2007), arXiv:0
- Chaotic quantum dots with strongly correlated electrons, Rev.Mod. Phys. 80, 379, (2008).
- Flux Hamiltonians, Lie algebras and Root Lattices with Miniscule Decorations, with Fiona Burnell and Shivaji Sondhi, cond-mat-0802.3466, Annals of Physics, 324, 26
- Fermi surfaces in general codimension and a new controlled non-trivial ¯xed point, with T. Senthil, Phys. Rev. Lett., 102, 046406 (2009).
- Globalization and science, one Physicist's view, in The Multiple Faces of Globalization, BBVA Publication, 2009. 98: Renormalization group for nonrelativistic ferm
- Renormalization group for non-relativistic fermions Phil. Trans. R. Soc. A July 13, 2011 369 (1946) 2612-2624; doi:10.1098/rsta.2010.0385
- Renormalization group and the superconducting susceptibility of a Fermi liquid, with S. Parameswaran and S. L. Sondhi, Phys. Rev. B 82, 195104, (2010).

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