86 citations · 449 across the 36 of their papers we have counts for
9 papers · 1 filter
Statistical mechanics of classical fractons on a line
Ylias Sadki, Abhishodh Prakash, S. L. Sondhi
We study the equilibrium statistical mechanics of one-dimensional classical Machian fractons: particles whose dynamics conserves a global dipole moment and whose Hamiltonian couple…
Interface phases and dynamics in two-dimensional quantum magnets: A "holographic" approach from universality to quantum simulation
Abhishodh Prakash, Jaydev Singh Rao, Siddharth A. Parameswaran +1
We introduce a framework to classify quantum phases, phase transitions, and non-equilibrium dynamics of interfaces separating ordered bulk domains in 2D quantum magnets - equivalen…
Classical fractons with cosmological fixed points
Akash Singh, Dileep P. Jatkar, S. L. Sondhi +1
Classical fractons are Hamiltonian systems that can develop attractors after projection onto configuration or shape variables, although the full phase space admits none. We study a…
Two-dimensional - clock model: Enhanced symmetries, emergent orders, and Landau-incompatible transitions
Vishnu Pulloor Kuttanikkad, Abhishodh Prakash, Rajesh Narayanan +1
We present a comprehensive study on the frustrated - classical -state clock model with even on a two-dimensional square lattice, revealing a rich ensemble of pha…
Phase space fractons
Ylias Sadki, Abhishodh Prakash, S. L. Sondhi +1
Perhaps the simplest approach to constructing models with sub-dimensional particles or fractons is to require the conservation of dipole or higher multipole moments. We generalize…
Classical Fractons: Local chaos, global broken ergodicity and an arrow of time
Aryaman Babbar, Ylias Sadki, Abhishodh Prakash +1
We report new results on classical nonrelativistic dipole conserving particles - fractons. These have been previously shown to exhibit "Machian" dynamics where the motion of one pa…
Pivoting through the chiral-clock family
Nick G. Jones, Abhishodh Prakash, Paul Fendley
The Onsager algebra, invented to solve the two-dimensional Ising model, can be used to construct conserved charges for a family of integrable -state chiral clock models. We show…
Classical origins of Landau-incompatible transitions
Abhishodh Prakash, Nick G. Jones
Continuous phase transitions where symmetry is spontaneously broken are ubiquitous in physics and often found between `Landau-compatible' phases where residual symmetries of one ph…
Machian fractons, Hamiltonian attractors and non-equilibrium steady states
Abhishodh Prakash, Ylias Sadki, S. L. Sondhi
We study the fracton problem in classical mechanics, with fractons defined as point particles that conserve multipole moments up to a given order. We find that the nonlinear Ma…