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# Theory of Condensed Matter

Theoretical Condensed Matter physics is about building models of physical processes, often driven by experimental data, generalising the solutions of those models to make experimental predictions, and transferring the concepts gained into other areas of research. Theory plays an important role in understanding known phenomena and in predicting new ones.

With over seventy members, the TCM Group is one of the largest research Groups in the Cavendish Laboratory, and the largest university Condensed Matter Theory group in the country. Able to trace its history back for over sixty years, it has been home to many leading theoreticians.

Starting at the first principles microscopic level - with the Schrödinger equation - many properties of materials can now be calculated with a high degree of accuracy. We work on refining and developing new calculational tools and applying them to problems in physics, chemistry, materials science and biology.

Solids often show unusual collective behaviour resulting from cooperative quantum or classical phenomena. For this type of physics a more model-based approach is appropriate, and we are using such methods to attack problems in magnetism, superconductivity, nonlinear optics, mesoscopic systems, polymers, and colloids.

Collective behaviour comes even more to the fore in systems on a larger scale. As examples, we work on self-organising structures in "soft" condensed matter systems, non-linear dynamics of interacting systems, the observer in quantum mechanics, and models of biophysical processes, from the molecular scale up to neural systems.

Intellegens, a company co-founded by Gareth Conduit, has secured funding from Cambridge Enterprise and an external investor. Intellegens has developed proprietary algorithms to allow neural networks to be trained on incomplete data. The technique has already been applied to materials design and drug discovery, but is much more generally applicable.

News archive(Click the above tab to reload the Seminars list.)

More seminars- Probabilistic design of a molybdenum-base alloy using a neural network Scripta Mater. 146 82 - 86 (2018)
- Robustness of Majorana edge modes and topological order -- exact results for the symmetric interacting Kitaev chain with disorder Physical Review B - Condensed Matter and Materials Physics 96 241113(R) (2017)
- Jammed Spin Liquid in the Bond-Disordered Kagome Antiferromagnet Phys. Rev. Lett. 119 247201 (2017)
- Many-Body Coarse-Grained Interactions Using Gaussian Approximation Potentials. J. Phys. Chem. B 121 10934 - 10949 (2017)
- Harmonic Force Constants for Molecular Mechanics Force Fields via Hessian Matrix Projection. J. Chem. Theory Comput. (2017)
- Stopping power beyond the adiabatic approximation Scientific Reports 7 2618 (2017)
- Sir Sam Edwards. 1 February 1928 — 7 July 2015 Biogr. Mem. Fellows R. Soc. 63 243 - 271 (2017)
- Revealing and exploiting hierarchical material structure through complex atomic networks npj Computational Materials 3 35 (2017)
- Amplitude bounds for biochemical oscillators EPL (Europhysics Letters) 119 58004 (2017)
- Muscle Stem Cells Exhibit Distinct Clonal Dynamics in Response to Tissue Repair and Homeostatic Aging. Cell Stem Cell (2017)
- Simulations of water nano-confined between corrugated planes. J. Chem. Phys. 147 194509 (2017)
- Frame, metric and geodesic evolution in shape-changing nematic shells. Soft Matter (2017)
- Synchronization transition in dipole-coupled two-level systems with positional disorder Phys. Rev. A 96 053610 (2017)
- Charge density wave instabilities of type-II Weyl semimetals in a strong magnetic field Phys. Rev. B 96 201101 (2017)
- Design of a nickel-base superalloy using a neural network Mater. Des. 131 358 - 365 (2017)
- Absence of Ergodicity without Quenched Disorder: from Quantum Disentangled Liquids to Many-Body Localization Phys. Rev. Lett. 119 176601 (2017)
- Emergence and universality in the regulation of stem cell fate Curr. Opin. Syst. Biol. 5 57 - 62 (2017)
- A Unifying Theory of Branching Morphogenesis Cell 171 242 - 255 (2017)
- Nonreciprocal reconfigurable microwave optomechanical circuit. Nat Commun 8 604 (2017)
- Uncovering nonperturbative dynamics of the biased sub-Ohmic spin-boson model with variational matrix product states Phys. Rev. B 96 (2017)

Theoretical Condensed Matter physics is about building models of physical processes, often driven by experimental data, generalising the solutions of those models to make experimental predictions, and transferring the concepts gained into other areas of research. Theory plays an important role in understanding known phenomena and in predicting new ones.

With over seventy members, the TCM Group is one of the largest research Groups in the Cavendish Laboratory, and the largest university Condensed Matter Theory group in the country. Able to trace its history back for over sixty years, it has been home to many leading theoreticians.

Starting at the first principles microscopic level - with the Schrödinger equation - many properties of materials can now be calculated with a high degree of accuracy. We work on refining and developing new calculational tools and applying them to problems in physics, chemistry, materials science and biology.

Solids often show unusual collective behaviour resulting from cooperative quantum or classical phenomena. For this type of physics a more model-based approach is appropriate, and we are using such methods to attack problems in magnetism, superconductivity, nonlinear optics, mesoscopic systems, polymers, and colloids.

Collective behaviour comes even more to the fore in systems on a larger scale. As examples, we work on self-organising structures in "soft" condensed matter systems, non-linear dynamics of interacting systems, the observer in quantum mechanics, and models of biophysical processes, from the molecular scale up to neural systems.

## News

Intellegens, a company co-founded by Gareth Conduit, has secured funding from Cambridge Enterprise and an external investor. Intellegens has developed proprietary algorithms to allow neural networks to be trained on incomplete data. The technique has already been applied to materials design and drug discovery, but is much more generally applicable.

## Recent Publications

- Probabilistic design of a molybdenum-base alloy using a neural network Scripta Mater. 146 82 - 86 (2018)
- Robustness of Majorana edge modes and topological order -- exact results for the symmetric interacting Kitaev chain with disorder Physical Review B - Condensed Matter and Materials Physics 96 241113(R) (2017)
- Jammed Spin Liquid in the Bond-Disordered Kagome Antiferromagnet Phys. Rev. Lett. 119 247201 (2017)
- Many-Body Coarse-Grained Interactions Using Gaussian Approximation Potentials. J. Phys. Chem. B 121 10934 - 10949 (2017)
- Harmonic Force Constants for Molecular Mechanics Force Fields via Hessian Matrix Projection. J. Chem. Theory Comput. (2017)
- Stopping power beyond the adiabatic approximation Scientific Reports 7 2618 (2017)
- Sir Sam Edwards. 1 February 1928 — 7 July 2015 Biogr. Mem. Fellows R. Soc. 63 243 - 271 (2017)
- Revealing and exploiting hierarchical material structure through complex atomic networks npj Computational Materials 3 35 (2017)
- Amplitude bounds for biochemical oscillators EPL (Europhysics Letters) 119 58004 (2017)
- Muscle Stem Cells Exhibit Distinct Clonal Dynamics in Response to Tissue Repair and Homeostatic Aging. Cell Stem Cell (2017)
- Simulations of water nano-confined between corrugated planes. J. Chem. Phys. 147 194509 (2017)
- Frame, metric and geodesic evolution in shape-changing nematic shells. Soft Matter (2017)
- Synchronization transition in dipole-coupled two-level systems with positional disorder Phys. Rev. A 96 053610 (2017)
- Charge density wave instabilities of type-II Weyl semimetals in a strong magnetic field Phys. Rev. B 96 201101 (2017)
- Design of a nickel-base superalloy using a neural network Mater. Des. 131 358 - 365 (2017)
- Absence of Ergodicity without Quenched Disorder: from Quantum Disentangled Liquids to Many-Body Localization Phys. Rev. Lett. 119 176601 (2017)
- Emergence and universality in the regulation of stem cell fate Curr. Opin. Syst. Biol. 5 57 - 62 (2017)
- A Unifying Theory of Branching Morphogenesis Cell 171 242 - 255 (2017)
- Nonreciprocal reconfigurable microwave optomechanical circuit. Nat Commun 8 604 (2017)
- Uncovering nonperturbative dynamics of the biased sub-Ohmic spin-boson model with variational matrix product states Phys. Rev. B 96 (2017)