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Theoretical physicists working at a blackboard collaboration pod in the Beecroft building.
Credit: Jack Hobhouse

Siddharth Parameswaran

Professor of Physics

Research theme

  • Fields, strings, and quantum dynamics
  • Quantum materials
  • Quantum optics & ultra-cold matter

Sub department

  • Rudolf Peierls Centre for Theoretical Physics

Research groups

  • Condensed Matter Theory
sid.parameswaran@physics.ox.ac.uk
Telephone: 01865 273968
Rudolf Peierls Centre for Theoretical Physics, room 70.29
  • About
  • Research
  • Teaching
  • Publications

Signatures of fractional statistics in nonlinear pump-probe spectroscopy

Physical Review Letters American Physical Society

Authors:

Max McGinley, Michele Fava, Sa Parameswaran
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Skyrmions in twisted bilayer graphene: stability, pairing, and crystallization

Physical Review X American Physical Society

Authors:

Yves H Kwan, Glenn Wagner, Nick Bultinck, Steven H Simon, Sa Parameswaran
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Solvable Quantum Circuits in Tree+1 Dimensions

PRX Quantum American Physical Society

Authors:

Oliver Breach, Benedikt Placke, Pieter Claeys, Siddharth A Ashok Parameswaran

Spin skyrmion gaps as signatures of strong-coupling insulators in magic-angle twisted bilayer graphene

Nature Communications Nature Research (part of Springer Nature)

Authors:

Jiachen Yu, Benjamin Foutty, Yves H Kwan, Mark E Barber, Kenji Watanabe, Takashi Taniguchi, Zhi-Xun Shen, SIDDHARTH ASHOK PARAMESWARAN, Benjamin E Feldman
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Statistical mechanics of dimers on quasiperiodic tilings

Physical Review B: Condensed Matter and Materials Physics American Physical Society

Authors:

Jerome Lloyd, Sounak Biswas, Steven H Simon, Sa Parameswaran, Felix Flicker

Abstract:

We study classical dimers on two-dimensional quasiperiodic Ammann-Beenker (AB) tilings. Despite the lack of periodicity we prove that each infinite tiling admits 'perfect matchings' in which every vertex is touched by one dimer. We introduce an auxiliary 'AB$^*$' tiling obtained from the AB tiling by deleting all 8-fold coordinated vertices. The AB$^*$ tiling is again two-dimensional, infinite, and quasiperiodic. The AB$^*$ tiling has a single connected component, which admits perfect matchings. We find that in all perfect matchings, dimers on the AB$^*$ tiling lie along disjoint one-dimensional loops and ladders, separated by 'membranes', sets of edges where dimers are absent. As a result, the dimer partition function of the AB$^*$ tiling factorizes into the product of dimer partition functions along these structures. We compute the partition function and free energy per edge on the AB$^*$ tiling using an analytic transfer matrix approach. Returning to the AB tiling, we find that membranes in the AB$^*$ tiling become 'pseudomembranes', sets of edges which collectively host at most one dimer. This leads to a remarkable discrete scale-invariance in the matching problem. The structure suggests that the AB tiling should exhibit highly inhomogenous and slowly decaying connected dimer correlations. Using Monte Carlo simulations, we find evidence supporting this supposition in the form of connected dimer correlations consistent with power law behaviour. Within the set of perfect matchings we find quasiperiodic analogues to the staggered and columnar phases observed in periodic systems.
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