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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.

Image ©Nobel Media AB / Pi Frisk

Prof. Thouless with King Carl Gustaf

Two TCM alumni shared the 2016 **Nobel Prize in
Physics**. Prof. David Thouless was a lecturer in the Solid
State Theory group (as TCM was called) in the 1960s, and
remained a frequent visitor. Prof. Duncan
Haldane was a TCM PhD student in the 1970s. With
Prof. Michael Kosterlitz, a Cambridge graduate, they
shared the
Prize
"for theoretical discoveries of topological phase transitions and
topological phases of matter".

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

More seminars- A combined X-ray scattering and simulation study of halothane in membranes at raised pressures Chem. Phys. Lett. 671 21 - 27 (2017)
- Identity and dynamics of mammary stem cells during branching morphogenesis. Nature (2017)
- Effective-range dependence of resonant Fermi gases Phys. Rev. A 95 013633 (2017)
- First-principles study of the dynamic Jahn-Teller distortion of the neutral vacancy in diamond Phys. Rev. B 95 014108 (2017)
- Appearance and Disappearance of Quantum Correlations in Measurement-Based Feedback Control of a Mechanical Oscillator Phys. Rev. X 7 011001 (2017)
- Emergent order in the kagome Ising magnet Dy3Mg2Sb3O14. Nat Commun 7 13842 (2016)
- Temperature Dependence of the Energy Levels of Methylammonium Lead Iodide Perovskite from First-Principles. J Phys Chem Lett 7 5247 - 5252 (2016)
- Spectral and thermodynamic properties of the Sachdev-Ye-Kitaev model Phys. Rev. D 94 126010 (2016)
- Temperature Effects in the Band Structure of Topological Insulators. Phys. Rev. Lett. 117 226801 (2016)
- Understanding and enhancing superconductivity in FeSe/SrTiO3 by quantum size effects Phys. Rev. B 94 184508 (2016)
- Lifting the Franck-Condon blockade in driven quantum dots Phys. Rev. B 94 205412 (2016)
- Nonlinear network model analysis of vibrational energy transfer and localisation in the Fenna-Matthews-Olson complex. Scientific Reports 6 36703 (2016)
- Optomechanical dual-beam backaction-evading measurement beyond the rotating-wave approximation Phys. Rev. A 94 053820 (2016)
- Trail-Needs pseudopotentials in quantum Monte Carlo calculations with plane-wave/blip basis sets Phys. Rev. B 94 165170 (2016)
- Structural Evolution of Electrochemically Lithiated MoS2 Nanosheets and the Role of Carbon Additive in Li-Ion Batteries. Chem. Mater. 28 7304 - 7310 (2016)
- Transport in a gravity dual with a varying gravitational coupling constant Phys. Rev. D 94 086007 (2016)
- Superradiance Induced Particle Flow via Dynamical Gauge Coupling. Phys. Rev. Lett. 117 175302 (2016)
- Modeling Pair Distribution Functions of Rare-Earth Phosphate Glasses Using Principal Component Analysis. Inorg Chem (2016)
- Anomalous Thouless energy and critical statistics on the metallic side of the many-body localization transition Phys. Rev. B 94 144201 (2016)
- Hall response and edge current dynamics in Chern insulators out of equilibrium Phys. Rev. B 94 155104 (2016)

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

Image ©Nobel Media AB / Pi Frisk

Prof. Thouless with King Carl Gustaf

Two TCM alumni shared the 2016 **Nobel Prize in
Physics**. Prof. David Thouless was a lecturer in the Solid
State Theory group (as TCM was called) in the 1960s, and
remained a frequent visitor. Prof. Duncan
Haldane was a TCM PhD student in the 1970s. With
Prof. Michael Kosterlitz, a Cambridge graduate, they
shared the
Prize
"for theoretical discoveries of topological phase transitions and
topological phases of matter".

## Recent Publications

- A combined X-ray scattering and simulation study of halothane in membranes at raised pressures Chem. Phys. Lett. 671 21 - 27 (2017)
- Identity and dynamics of mammary stem cells during branching morphogenesis. Nature (2017)
- Effective-range dependence of resonant Fermi gases Phys. Rev. A 95 013633 (2017)
- First-principles study of the dynamic Jahn-Teller distortion of the neutral vacancy in diamond Phys. Rev. B 95 014108 (2017)
- Appearance and Disappearance of Quantum Correlations in Measurement-Based Feedback Control of a Mechanical Oscillator Phys. Rev. X 7 011001 (2017)
- Emergent order in the kagome Ising magnet Dy3Mg2Sb3O14. Nat Commun 7 13842 (2016)
- Temperature Dependence of the Energy Levels of Methylammonium Lead Iodide Perovskite from First-Principles. J Phys Chem Lett 7 5247 - 5252 (2016)
- Spectral and thermodynamic properties of the Sachdev-Ye-Kitaev model Phys. Rev. D 94 126010 (2016)
- Temperature Effects in the Band Structure of Topological Insulators. Phys. Rev. Lett. 117 226801 (2016)
- Understanding and enhancing superconductivity in FeSe/SrTiO3 by quantum size effects Phys. Rev. B 94 184508 (2016)
- Lifting the Franck-Condon blockade in driven quantum dots Phys. Rev. B 94 205412 (2016)
- Nonlinear network model analysis of vibrational energy transfer and localisation in the Fenna-Matthews-Olson complex. Scientific Reports 6 36703 (2016)
- Optomechanical dual-beam backaction-evading measurement beyond the rotating-wave approximation Phys. Rev. A 94 053820 (2016)
- Trail-Needs pseudopotentials in quantum Monte Carlo calculations with plane-wave/blip basis sets Phys. Rev. B 94 165170 (2016)
- Structural Evolution of Electrochemically Lithiated MoS2 Nanosheets and the Role of Carbon Additive in Li-Ion Batteries. Chem. Mater. 28 7304 - 7310 (2016)
- Transport in a gravity dual with a varying gravitational coupling constant Phys. Rev. D 94 086007 (2016)
- Superradiance Induced Particle Flow via Dynamical Gauge Coupling. Phys. Rev. Lett. 117 175302 (2016)
- Modeling Pair Distribution Functions of Rare-Earth Phosphate Glasses Using Principal Component Analysis. Inorg Chem (2016)
- Anomalous Thouless energy and critical statistics on the metallic side of the many-body localization transition Phys. Rev. B 94 144201 (2016)
- Hall response and edge current dynamics in Chern insulators out of equilibrium Phys. Rev. B 94 155104 (2016)