161 citations · 1.4k across the 52 of their papers we have counts for
52 papers
Competing phases and intertwined orders in coupled wires near the self-dual point
Ken K. W. Ma, Oğuz Türker, Alexander Seidel +1
The interplay between different quantum phases plays an important role in strongly correlated systems, such as high- cuprates, quantum spin systems, and ultracold atoms. In pa…
From frustration-free parent Hamiltonians to off-diagonal long-range order: Moore-Read and related states in second quantization
Fanmao Zhang, Matheus Schossler, Alexander Seidel +1
We construct a recursive second-quantized formula for Moore-Read Pfaffian states. We demonstrate the utility of such second-quantized presentations by directly proving the existenc…
Sequencing the Entangled DNA of Fractional Quantum Hall Fluids
Joseph R. Cruise, Alexander Seidel
We introduce and prove the "root theorem", which establishes a condition for families of operators to annihilate all root states associated with zero modes of a given positive semi…
Partons as unique ground states of quantum Hall parent Hamiltonians: The case of Fibonacci anyons
M. Tanhayi Ahari, S. Bandyopadhyay, Z. Nussinov +2
We present microscopic, multiple Landau level, (frustration-free and positive semi-definite) parent Hamiltonians whose ground states, realizing different quantum Hall fluids, are p…
Inner workings of fractional quantum Hall parent Hamiltonians: A matrix product state point of view
Matheus Schossler, Sumanta Bandyopadhyay, Alexander Seidel
We study frustration-free Hamiltonians of fractional quantum Hall (FQH) states from the point of view of the matrix product state (MPS) representation of their ground and excited s…
Mechanism for particle fractionalization and universal edge physics in quantum Hall fluids
Arkadiusz Bochniak, Zohar Nussinov, Alexander Seidel +1
Advancing a microscopic framework that rigorously unveils the underlying topological hallmarks of fractional quantum Hall (FQH) fluids is a prerequisite for making progress in the…