643 citations · 6.1k across the 133 of their papers we have counts for
13 papers · 1 filter
Computational complexity of three-dimensional Ising spin glass: Lessons from D-Wave annealer
Hao Zhang, Alex Kamenev
Finding an exact ground state of a three-dimensional (3D) Ising spin glass is proven to be an NP-hard problem (i.e., at least as hard as any problem in the nondeterministic polynom…
Quantum Hopfield Model with Dilute Memories
Rongfeng Xie, Alex Kamenev
We discuss adiabatic spectra and dynamics of the quantum, i.e. transverse field, Hopfield model with dilute memories (the number of stored patterns , where is the…
Cyclic Quantum Annealing: Searching for Deep Low-Energy States in 5000-Qubit Spin Glass
Hao Zhang, Kelly Boothby, Alex Kamenev
Quantum computers promise a qualitative speedup in solving a broad spectrum of practical optimization problems. The latter can be mapped onto the task of finding low-energy states…
Localization of Lindbladian Fermions
Foster Thompson, Yi Huang, Alex Kamenev
We study a Lindbladian generalization of the Anderson model of localization that describes disordered free fermions coupled to a disordered environment. From finite size scaling of…
Anatomy of topological Anderson transitions
Hao Zhang, Alex Kamenev
We study mesoscopic signatures of the topological Anderson transitions in topological disordered chains. To this end we introduce an integer-valued sample-specific definition of th…
Disordered Graphene Ribbons as Topological Multicritical Systems
Saumitran Kasturirangan, Alex Kamenev, Fiona J. Burnell
The low energy spectrum of a zigzag graphene ribbon contains two gapless bands with highly non-linear dispersion, , where is the width of the ribbon. The corr…
Two parameter scaling in the crossover from symmetry class BDI to AI
Saumitran Kasturirangan, Alex Kamenev, Fiona J. Burnell
The transport statistics of the 1D chain and metallic armchair graphene nanoribbons with hopping disorder are studied, with a focus on understanding the cross-over between the zero…
Many-body theory of non-equilibrium systems
Alex Kamenev
Lectures notes for 2004 Les Houches Summer School on "Nanoscopic Quantum Transport". These lectures contain an introduction to Keldysh formalism for interacting bosonic and fermion…
Replica treatment of non-Hermitian disordered Hamiltonians
Shinsuke M. Nishigaki, Alex Kamenev
We employ the fermionic and bosonic replicated nonlinear sigma models to treat Ginibre unitary, symplectic, and orthogonal ensembles of non-Hermitian random matrix Hamiltonians. Us…
Level Correlations in Disordered Metals: the Replica sigma-Model
Alex Kamenev, Marc Mezard
We compute energy level correlations in weakly disordered metallic grains using the fermionic replica method. We use the standard sigma-model approach and show that non--trivial sa…
Wigner-Dyson Statistics from the Replica Method
Alex Kamenev, Marc Mezard
We compute the correlation functions of the eigenvalues in the Gaussian unitary ensemble using the fermionic replica method. We show that non--trivial saddle points, which break re…
Electron--electron Interactions in Disordered Metals: Keldysh Formalism
Alex Kamenev, Anton Andreev
We develop a field theory formalism for the disordered interacting electron liquid in the dynamical Keldysh formulation. This formalism is an alternative to the previously used rep…
On the Nature of Infrared Singularities in Disordered Interacting Systems
Anton Andreev, Alex Kamenev
We address the problem of infrared singularities in the perturbation theory for disordered interacting systems in . We show that a typical, sufficiently large interacting…