28 citations · 127 across the 14 of their papers we have counts for
16 papers
Recursive Improvement of a Differentiable Scientific Software Ecosystem
Pengcheng Hou, Xiaojun Tan, Sihan Hu +5
Differentiable programming connects scientific computation with gradient-based inference, learning and design. Extending these capabilities across a heterogeneous software ecosyste…
Long-range self-avoiding walk in one dimension: a Monte Carlo study
Jiang Zhou, Ziyu Liu, Pengcheng Hou +2
We study the one-dimensional long-range self-avoiding walk in the grand-canonical ensemble where the statistical weight of a jump of length decays algebraically as …
Static spin exchange-correlation kernel of the uniform electron gas at finite temperature
Pengcheng Hou, Zhiyi Li, Youjin Deng +1
We determine the temperature and momentum dependence of the static spin exchange--correlation kernel of the unpolarized three-dimensional uniform electron gas using variational dia…
First-Principles Effective Mass in the Three-Dimensional Uniform Electron Gas
Pengcheng Hou, Daniel Cerkoney, Zhiyi Li +6
The quasiparticle effective mass of the three-dimensional uniform electron gas (UEG) is a fundamental Fermi-liquid parameter whose value and density dependence have remained…
Fractals of Simple Random Walks in Two Dimensions: A Monte Carlo Study
Jiang Zhou, Ziru Deng, Pengcheng Hou
We present a Monte Carlo study of the fractal geometry of clusters formed by discrete-time simple random walks (sRW) of steps on a periodic square lattice. We ver…
Two-Electron Correlations in the Metallic Electron Gas
Zhiyi Li, Pengcheng Hou, Bao-Zong Wang +2
We present high-precision \emph{ab initio} calculations of the four-point vertex function for the three-dimensional uniform electron gas using variational diagrammatic Monte Carlo.…
Matsubara-Frequency-Resolved Spin Exchange-Correlation Kernel for the Three-Dimensional Uniform Electron Gas
Zhiyi Li, Pengcheng Hou, Youjin Deng +1
The spin Coulomb drag effect, arising from the exchange of momentum between electrons of opposite spins, plays a crucial role in the spin transport of interacting electron systems…
An AI-powered Technology Stack for Solving Many-Electron Field Theory
Pengcheng Hou, Tao Wang, Daniel Cerkoney +5
Quantum field theory (QFT) for interacting many-electron systems is fundamental to condensed matter physics, yet achieving accurate solutions confronts computational challenges in…
Precursory Cooper Flow in Ultralow-Temperature Superconductors
Pengcheng Hou, Xiansheng Cai, Tao Wang +4
Superconductivity at low temperature -- observed in lithium and bismuth, as well as in various low-density superconductors -- calls for developing reliable theoretical and experime…
Exchange-correlation effect in the charge response of a warm dense electron gas
Peng-Cheng Hou, Bao-Zong Wang, Kristjan Haule +2
The study of warm dense matter, widely existing in nature and laboratories, is challenging due to the interplay of quantum and classical fluctuations. We develop a variational diag…
Monte Carlo study of duality and the Berezinskii-Kosterlitz-Thouless phase transitions of the two-dimensional -state clock model in flow representations
Hao Chen, Pengcheng Hou, Sheng Fang +1
The two-dimensional -state clock model for undergoes two Berezinskii-Kosterlitz-Thouless (BKT) phase transitions as temperature decreases. Here we report an extensive…
Percolation of the two-dimensional XY model in the flow representation
Bao-Zong Wang, Pengcheng Hou, Chun-Jiong Huang +1
We simulate the two-dimensional XY model in the flow representation by a worm-type algorithm, up to linear system size , and study the geometric properties of the flow conf…
Fermionic Sign Structure of High-order Feynman diagrams in a Many-fermion System
Bao-Zong Wang, Peng-Cheng Hou, Youjin Deng +2
The sign cancellation between scattering amplitudes makes fermions different from bosons. We systematically investigate Feynman diagrams' fermionic sign structure in a representati…
Critical exponents and universal excess cluster number of percolation in four and five dimensions
Zhongjin Zhang, Pengcheng Hou, Sheng Fang +2
We study critical bond percolation on periodic four-dimensional (4D) and five-dimensional (5D) hypercubes by Monte Carlo simulations. By classifying the occupied bonds into branche…
Geometric properties of the Fortuin-Kasteleyn representation of the Ising model
Pengcheng Hou, Sheng Fang, Junfeng Wang +2
We present a Monte Carlo study of the Fortuin-Kasteleyn (FK) clusters of the Ising model on the square (2D) and simple-cubic (3D) lattices. The wrapping probability, a dimensionles…
Critical percolation clusters in seven dimensions and on a complete graph
Wei Huang, Pengcheng Hou, Junfeng Wang +2
We study critical bond percolation on a seven-dimensional (7D) hypercubic lattice with periodic boundary conditions and on the complete graph (CG) of finite volume . We numerica…