110 citations · 1.6k across the 80 of their papers we have counts for
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Sum rules and density-wave modes in spin-singlet fractional quantum Hall fluids
Ritajit Kundu, Rakesh K. Dora, Dung Xuan Nguyen +1
Fractional quantum Hall (FQH) states are prototypical examples of strongly interacting topologically ordered systems. In this work, we obtain thermodynamic fits on the plane for th…
Relations between density-density correlators of states in the maximal spin multiplet
Ritajit Kundu, Ajit C. Balram
We present identities relating the pair-correlation functions and static structure factors of states in the maximal spin multiplet. This allows us to compute these density-density…
Level statistics of the disordered Haldane-Shastry model with interaction
Vengatesan Ganapathy, Pranay Patil, Ajit C. Balram
Understanding how the interaction range and various types of disorder affect the level statistics of many-body quantum systems, leading to the emergence of many-body localization (…
Testing the robustness of topological quantities evaluated from the modular Hamiltonian for a given wavefunction
Sandeep Sharma, Ajit C. Balram
Topologically ordered states are characterized by topological quantities like the Hall conductance, topological entanglement entropy, and chiral central charge. Techniques based on…
Additional quantum many-body scars of the spin- model with Fock-space cages and commutant algebras
Sashikanta Mohapatra, Sanjay Moudgalya, Ajit C. Balram
Quantum many-body scars (QMBS) represent a mechanism for weak ergodicity breaking, characterized by the coexistence of atypical non-thermal eigenstates within an otherwise thermali…
Monte Carlo Sampling for Wave Functions Requiring (Anti)Symmetrization
Koyena Bose, Steven H. Simon, Ajit C. Balram
Many strongly correlated states, such as those arising in the fractional quantum Hall effect and spin liquids, are described by wave functions obtained by dividing particles into m…
Exploring the nature of the emergent gauge field in composite-fermion metals: A large-scale microscopic study
Amogh Anakru, Mytraya Gattu, Ajit C. Balram +4
Field theories of the composite-fermion (CF) metal model it as a Fermi sea of composite fermions coupled to an emergent gauge field. Within a random phase approximation, these theo…
Dispersion of collective modes in spinful fractional quantum Hall states on the sphere
Rakesh K. Dora, Ajit C. Balram
Collective modes capture the dynamical aspects of fractional quantum Hall (FQH) fluids. Depending on the active degrees of freedom, different types of collective modes can arise in…
Interplay of superconducting, metallic, and crystalline states of composite fermions at in wide quantum wells
Ajit C. Balram, Anirban Sharma, J. K. Jain
Evidence for developing fractional quantum Hall effect (FQHE) at filling fraction and has recently been reported in wide GaAs quantum wells [Wang \emph{et al.}, PRL…
Dispersion of neutral collective modes in partonic fractional quantum Hall states and its applications to paired states of composite fermions
Koyena Bose, Ajit C. Balram
The Moore-Read Pfaffian (Pf) state exhibits two distinct neutral excitation modes, the bosonic magnetoroton mode, and the neutral fermion mode. These two modes have been conjecture…
Phase Separation in the Putative Fractional Quantum Hall A phases
Steven H. Simon, Ajit C. Balram
We use several techniques to probe the wave functions proposed to describe the phases by Das, Das, and Mandal [Phys. Rev. Lett. 131, 056202 (2023); Phys. Rev. Lett. 132,…
Exact volume-law entangled zero-energy eigenstates in a large class of spin models
Sashikanta Mohapatra, Sanjay Moudgalya, Ajit C. Balram
Exact solutions for excited states in non-integrable quantum Hamiltonians have revealed novel dynamical phenomena that can occur in quantum many-body systems. This work proposes a…
Static structure factor and the dispersion of the Girvin-MacDonald-Platzman density mode for fractional quantum Hall fluids on the Haldane sphere
Rakesh K. Dora, Ajit C. Balram
We study the neutral excitations in the bulk of the fractional quantum Hall (FQH) fluids generated by acting with the Girvin-MacDonald-Platzman (GMP) density operator on the unifor…
Entanglement scaling and charge fluctuations in a Fermi liquid of composite fermions
Cristian Voinea, Songyang Pu, Ajit C. Balram +1
The composite fermion Fermi liquid (CFL) state at filling of a Landau level is a paradigmatic non-Fermi liquid borne out purely by Coulomb interactions. But in what ways is…
Splitting of Girvin-MacDonald-Platzman density wave and the nature of chiral gravitons in fractional quantum Hall effect
Ajit C. Balram, G. J. Sreejith, J. K. Jain
A fundamental manifestation of the nontrivial correlations of an incompressible fractional quantum Hall (FQH) state is that an electron added to it disintegrates into more elementa…
Fractional quantum Hall effect of partons and the nature of the 8/17 state in the zeroth Landau level of bilayer graphene
Ajit C. Balram, Nicolas Regnault
We consider the fractional quantum Hall effect (FQHE) at the filling factor , where signatures of incompressibility have been observed in the zeroth Landau level of bilayer g…
Numerical demonstration of Abelian fractional statistics of composite fermions in the spherical geometry
Koyena Bose, Ajit C. Balram
Fractional quantum Hall (FQH) fluids host quasiparticle excitations that carry a fraction of the electronic charge. Moreover, in contrast to bosons and fermions that carry exchange…
Microscopic Model for Fractional Quantum Hall Nematics
Songyang Pu, Ajit C. Balram, Joseph Taylor +2
Geometric fluctuations of the density mode in a fractional quantum Hall (FQH) state can give rise to a nematic FQH phase, a topological state with a spontaneously broken rotational…
Universal Modelling of Oscillations in Fractional Quantum Hall Fluids
Guangyue Ji, Koyena Bose, Ajit C. Balram +1
Density oscillations in quantum fluids can reveal their fundamental characteristic features. In this work, we study the density oscillation of incompressible fractional quantum Hal…
Composite-fermion pairing at half and quarter filled lowest Landau level
Anirban Sharma, Ajit C. Balram, J. K. Jain
The Halperin-Lee-Read Fermi sea of composite fermions (CFs) at half-filled lowest Landau level is the realization of a fascinating non-Fermi liquid metallic phase. Remarkably, expe…
Prediction of non-Abelian fractional quantum Hall effect at
Koyena Bose, Ajit C. Balram
The fractional quantum Hall effect (FQHE) in the second Landau level (SLL) likely stabilizes non-Abelian topological orders. Recently, a parton sequence has been proposed to captur…
Signatures of Supersymmetry in the Fractional Quantum Hall Effect
Songyang Pu, Ajit C. Balram, Mikael Fremling +2
The Moore-Read state, one of the leading candidates for describing the fractional quantum Hall effect at filling factor , is a paradigmatic -wave superconductor with no…
Fractional quantum Hall effect with unconventional pairing in monolayer graphene
Anirban Sharma, Songyang Pu, Ajit C. Balram +1
Motivated by the observation of even denominator fractional quantum Hall effect in the Landau level of monolayer graphene [Y. Kim , Nature Physics $\textbf{1…
Supergravity model of the Haldane-Rezayi fractional quantum Hall state
Dung Xuan Nguyen, Kartik Prabhu, Ajit C. Balram +1
Supersymmetry and supergravity were invented in the 1970s to solve fundamental problems in high-energy physics. Even though neither of these ideas has yet been confirmed in high-en…