196 citations · 1.6k across the 143 of their papers we have counts for
17 papers · 1 filter
Log-Sobolev inequalities for boundary-driven anharmonic chains
Jianfeng Lu
We study the non-equilibrium steady state of a weakly anharmonic chain of oscillators driven at its boundary by Langevin thermostats at unequal temperatures. Under a perturbati…
Geometry of backflow transformation ansatz for quantum many-body fermionic wavefunctions
Hang Huang, J. M. Landsberg, Jianfeng Lu
Wave function ansatz based on the backflow transformation are widely used to parametrize anti-symmetric multivariable functions for many-body quantum problems. We study the geometr…
Algebraic localization of Wannier functions implies Chern triviality in non-periodic insulators
Jianfeng Lu, Kevin D. Stubbs
For gapped periodic systems (insulators), it has been established that the insulator is topologically trivial (i.e., its Chern number is equal to ) if and only if its Fermi proj…
Edge state dynamics along curved interfaces
Guillaume Bal, Simon Becker, Alexis Drouot +3
We study the propagation of wavepackets along weakly curved interfaces between topologically distinct media. Our Hamiltonian is an adiabatic modulation of Dirac operators omniprese…
Algebraic localization implies exponential localization in non-periodic insulators
Jianfeng Lu, Kevin D. Stubbs
Exponentially-localized Wannier functions are a basis of the Fermi projection of a Hamiltonian consisting of functions which decay exponentially fast in space. In two and three spa…
Locality of the windowed local density of states
Terry A. Loring, Jianfeng Lu, Alexander B. Watson
We introduce a generalization of local density of states which is "windowed" with respect to position and energy, called the windowed local density of states (wLDOS). This definiti…
The Iterated Projected Position Algorithm for Constructing Exponentially Localized Generalized Wannier Functions for Periodic and Non-Periodic Insulators in Two Dimensions and Higher
Kevin D. Stubbs, Alexander B. Watson, Jianfeng Lu
Localized bases play an important role in understanding electronic structure. In periodic insulators, a natural choice of localized basis is given by the Wannier functions which de…
Existence and computation of generalized Wannier functions for non-periodic systems in two dimensions and higher
Jianfeng Lu, Kevin D. Stubbs, Alexander B. Watson
Exponentially-localized Wannier functions (ELWFs) are an orthonormal basis of the Fermi projection of a material consisting of functions which decay exponentially fast away from th…
Symmetry Breaking in Density Functional Theory due to Dirac Exchange for a Hydrogen Molecule
Michael Holst, Houdong Hu, Jianfeng Lu +3
We study symmetry breaking in the mean field solutions to the 2 electron hydrogen molecule within Kohn Sham (KS) local spin density function theory with Dirac exchange (the XLDA mo…
Inchworm Monte Carlo method for open quantum systems
Zhenning Cai, Jianfeng Lu, Siyao Yang
We investigate in this work a recently proposed diagrammatic quantum Monte Carlo method --- the inchworm Monte Carlo method --- for open quantum systems. We establish its validity…
On discrete Wigner transforms
Zhenning Cai, Jianfeng Lu, Kevin Stubbs
In this work, we derive a discrete analog of the Wigner transform over the space for any prime and any positive integer . We show that the Wigne…
Riesz Energy on the Torus: Regularity of Minimizers
Jianfeng Lu, Stefan Steinerberger
We study sets of points on the dimensional torus minimizing interaction functionals of the type \[ \sum_{i, j =1 \atop i \neq j}^{N}{ f(x_i - x_j)}. \] The m…
Wavepackets in inhomogeneous periodic media: effective particle-field dynamics and Berry curvature
Alexander B. Watson, Jianfeng Lu, Michael I. Weinstein
We consider a model of an electron in a crystal moving under the influence of an external electric field: Schrödinger's equation with a potential which is the sum of a periodic fun…
A Mathematical Theory of Optimal Milestoning (with a Detour via Exact Milestoning)
Ling Lin, Jianfeng Lu, Eric Vanden-Eijnden
Milestoning is a computational procedure that reduces the dynamics of complex systems to memoryless jumps between intermediates, or milestones, and only retains some information ab…
Thermodynamic Limit of Crystal Defects with Finite Temperature Tight Binding
Huajie Chen, Jianfeng Lu, Christoph Ortner
We consider a tight binding model for localised crystalline defects with electrons in the canonical ensemble (finite electronic temperature) and nuclei positions relaxed according…
Orbital-free density functional theory of out-of-plane charge screening in graphene
Jianfeng Lu, Vitaly Moroz, Cyrill B. Muratov
We propose a density functional theory of Thomas-Fermi-Dirac-von Weizsäcker type to describe the response of a single layer of graphene resting on a dielectric substrate to a point…
Density matrix minimization with regularization
Rongjie Lai, Jianfeng Lu, Stanley Osher
We propose a convex variational principle to find sparse representation of low-lying eigenspace of symmetric matrices. In the context of electronic structure calculation, this corr…