6 papers
Symmetric mass generation of interacting chiral fermions on a one-dimensional lattice without fermion doubling
V. A. Zakharov, Atsushi Ueda, Frank Verstraete +1
Symmetric mass generation is the interaction-induced opening of a fermion gap without spontaneous symmetry breaking. The anomaly-free 3-4-5-0 model of Wang and Wen provides a minim…
Lattice fermion simulation of spontaneous time-reversal symmetry breaking in a helical Luttinger liquid
V. A. Zakharov, J. Sánchez Fernán, C. W. J. Beenakker
We extend a recently developed "tangent fermion" method to discretize the Hamiltonian of a helical Luttinger liquid on a one-dimensional lattice, including two-particle backscatter…
Helical Luttinger liquid on a space-time lattice
V. A. Zakharov, J. Tworzydlo, C. W. J. Beenakker +1
The Luttinger model is a paradigm for the breakdown due to interactions of the Fermi liquid description of one-dimensional massless Dirac fermions. Attempts to discretize the model…
Bimodal distribution of delay times and splitting of the zero-bias conductance peak in a double-barrier normal-superconductor junction
C. W. J. Beenakker, V. A. Zakharov
We formulate a scattering theory of the proximity effect in a weakly disordered SININ junction (S = superconductor, I = insulating barrier, N = normal metal). This allows to relate…
Majorana-metal transition in a disordered superconductor: percolation in a landscape of topological domain walls
V. A. Zakharov, I. C. Fulga, G. Lemut +2
Most superconductors are thermal insulators. A disordered chiral -wave superconductor, however, can make a transition to a thermal metal phase. Because heat is then tra…
Luttinger liquid tensor network: sine versus tangent dispersion of massless Dirac fermions
V. A. Zakharov, S. Polla, A. DonÃs Vela +4
To apply the powerful many-body techniques of tensor networks to massless Dirac fermions one wants to discretize the Hamiltonian and construct a matrix-product-operator…