7 papers
Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model
Christopher Roth, Andrew Millis, Tomohiro Soejima
Understanding how a parent insulating state shapes the superconductivity that emerges upon doping is a long-standing problem dating back to Anderson's resonating-valence-bond propo…
Beyond Variational Bias: Resolving Intertwined Orders in the Hubbard Model
Luciano Loris Viteritti, Riccardo Rende, Christopher Roth +3
The two-dimensional Hubbard model at finite doping hosts competing or intertwined orders, resulting in conflicting conclusions from different computational approaches regarding its…
Simulating superconductivity in mixed-dimensional -- bilayers with neural quantum states
Hannah Lange, Ao Chen, Antoine Georges +3
Motivated by the recent discovery of superconductivity in the bilayer nickelate LaNiO (LNO) under pressure, we study a mixed-dimensional (mixD) bilayer -$J…
lrux: Fast low-rank updates of determinants and Pfaffians in JAX
Ao Chen, Christopher Roth
We present lrux, a JAX-based software package for fast low-rank updates of determinants and Pfaffians, targeting the dominant computational bottleneck in various quantum Monte Carl…
Superconductivity in the two-dimensional Hubbard model revealed by neural quantum states
Christopher Roth, Ao Chen, Anirvan Sengupta +1
Whether the ground state of the square lattice Hubbard model exhibits superconductivity remains a major open question, central to understanding high temperature cuprate superconduc…
Simulating the two-dimensional model at finite doping with neural quantum states
Hannah Lange, Annika Böhler, Christopher Roth +1
Simulating large, strongly interacting fermionic systems remains a major challenge for existing numerical methods. In this work, we introduce Gutzwiller projected hidden fermion de…