Publications and preprints

1. Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond

   Amogh Anakru, Sarvesh Srinivasan, Linhao Li, and Zhen Bi

   arXiv:2603.19189 (2026) · arXiv

   Here, we use tensor networks to derive the classification of symmetry-protected topological (SPT) phases protected by spatially modulated symmetries; this work generalizes part of the classic work of Schuch, Perez-Garcia, and Cirac (1010.3732). We also uncover an interesting phenomenon in the spectrum of modulated SPT Hamiltonians, where edge degeneracies can be robust to finite-size splittings. See also 2603.19381.

2. An Intrinsically Gapless Topological Phase with Dipole Symmetry

   Amogh Anakru, Linhao Li, and Zhen Bi

   Work in progress

   Two recent advancements in the study of SPTs include the generalization to spatially modulated symmetries and the discovery of `intrinsically' gapless SPTs where protected edge modes go hand-in-hand with a gapless bulk. Here, we merge the two concepts in a 1-D fermionic model, where we show that imposing dipole symmetry on the celebrated SSH model naturally leads to an intriniscally gapless SPT.

3. Emergent Gauge Field in Composite-Fermion Metals: A Large-Scale Microscopic Study

   Amogh Anakru, Mytraya Gattu, Ajit C. Balram, Xiao-Chuan Wu, Prashant Kumar, Zhen Bi, and J. K. Jain

   Physical Review Letters 135, 246503 (2025) · journal · arXiv

   The Composite-Fermion metal in the half-filled Landau level is a famous example of a non-Fermi liquid, whose field theory consists of a Fermi surface coupled to an emergent gauge field. In this work, we find that a key prediction of the field theory, stemming from the random phase approximation, in fact does not match a microscopic computation using an LLL-projected Jain wavefunction. The microscopic computation can in fact be modeled by thinking of the composite Fermi metal as a sea of non-interacting dipoles.

4. Topological Phases and Phase Transitions with Dipolar Symmetry Breaking

   Amogh Anakru and Zhen Bi

   arXiv:2403.19601 (2024) · arXiv

   What happens if fermions at integer filling are subject to dipole symmetry? We show that when the dipole symmetry is spontaneously broken, the effective field theory of the resulting Goldstone bosons actually probes the topology of the mean-field ground state of the fermions. When the mean-field ground state undergoes a topological phase transition, we find a very unusual interacting fixed point with analogies to the non-Fermi liquid problem, including singular self-energies.

5. Non-Fermi Liquids from Dipolar Symmetry Breaking

   Amogh Anakru and Zhen Bi

   Physical Review B 108, 165112 (2023) · journal · arXiv

   What happens if fermions at generic filling are subject to dipole symmetry? We show that when the dipole symmetry is spontaneously broken, the fermions can form a non-Fermi liquid without well-defined Landau quasiparticles. See also 2302.08499.

6. Electron Beam Shaping via Laser Heater Temporal Shaping

   D. Cesar, A. Anakru, S. Carbajo, J. Duris, P. Franz, S. Li, N. Sudar, Z. Zhang, and A. Marinelli

   Physical Review Accelerators and Beams 24, 110703 (2021) · journal

Programs and Conferences

• Kavli Institute for Theoretical Physics Graduate FellowshipFall 2026
• Boulder Summer School2025
• Prospects in Theoretical Physics: Ultra-Quantum Matter2024
• Princeton Summer School in Condensed Matter Physics2023

Education