276 citations · 2.6k across the 56 of their papers we have counts for
45 papers · 1 filter
Classification of Fermionic Topological Orders from Congruence Representations
Gil Young Cho, Hee-cheol Kim, Donghae Seo +1
The fusion rules and braiding statistics of anyons in D fermionic topological orders are characterized by the modular data of a super-modular category. On the other hand, th…
A symmetry principle for gauge theories with fractons
Yuji Hirono, Minyoung You, Stephen Angus +1
Fractonic phases are new phases of matter that host excitations with restricted mobility. We show that a certain class of gapless fractonic phases are realized as a result of spont…
Controllable Floquet edge modes in a multi-frequency driving system
HaRu K. Park, Junmo Jeon, Gil Young Cho +1
A driven quantum system has been recently studied in the context of nonequilibrium phase transitions and their responses. In particular, for a periodically driven system, its dynam…
Many-Body Quadrupolar Sum Rule for Higher-Order Topological Insulator
Wonjun Lee, Gil Young Cho, Byungmin Kang
The modern theory of polarization establishes the bulk-boundary correspondence for the bulk polarization. In this paper, we attempt to extend it to a sum rule of the bulk quadrupol…
Metrology of Band Topology via Resonant Inelastic X-ray Scattering
Sangjin Lee, Kyung-Hwan Jin, Byungmin Kang +2
Topology is a central notion in the classification of band insulators and characterization of entangled many-body quantum states. In some cases, it manifests as quantized observabl…
Non-Fermi Liquids in Conducting 2D Networks
Jongjun M. Lee, Masaki Oshikawa, Gil Young Cho
We explore the physics of novel fermion liquids emerging from conducting networks, where 1D metallic wires form a periodic 2D superstructure. Such structure naturally appears in ma…
Many-Body Invariants for Chern and Chiral Hinge Insulators
Byungmin Kang, Wonjun Lee, Gil Young Cho
We construct new many-body invariants for 2d Chern and 3d chiral hinge insulators, which are characterized by quantized pumping of dipole and quadrupole moments. The invariants tha…
Topology and the one-dimensional Kondo-Heisenberg model
Julian May-Mann, Ryan Levy, Rodrigo Soto-Garrido +3
The Kondo-Heinsberg chain is an interesting model of a strongly correlated system which has a broad superconducting state with pair-density wave (PDW) order. Some of us have recent…
Multipolar superconductivity in Luttinger semimetals
GiBaik Sim, Archana Mishra, Moon Jip Park +3
Topological superconductivity in multiband systems has received much attention due to a variety of possible exotic superconducting order parameters as well as non-trivial bulk and…
Emergent Honeycomb Network of Topological Excitations in Correlated Charge Density Wave
Jae Whan Park, Gil Young Cho, Jinwon Lee +1
When two periodic potentials compete in materials, one may adopt the other, which straightforwardly generates topological defects. Of particular interest are domain walls in charge…
Stable Flatbands, Topology, and Superconductivity of Magic Honeycomb Networks
Jongjun M. Lee, Chenhua Geng, Jae Whan Park +4
We propose a new principle to realize flatbands which are robust in real materials, based on a network superstructure of one-dimensional segments. This mechanism is naturally reali…
Paired parton quantum Hall states: a coupled wire construction
Alexander Sirota, Sharmistha Sahoo, Gil Young Cho +1
The Pfaffian fractional quantum Hall (FQH) states are incompressible non-Abelian topological fluids present in a half-filled electron Landau level, where there is a balanced popula…
Many-Body Order Parameters for Multipoles in Solids
Byungmin Kang, Ken Shiozaki, Gil Young Cho
We propose many-body order parameters for bulk multipoles in crystalline systems, which originate from the non-trivial topology of the nested Wilson loop spectrum. The many-body or…
Topological d+s wave superconductors in a multi-orbital quadratic band touching system
GiBaik Sim, Archana Mishra, Moon Jip Park +3
Realization of topological superconductors is one of the most important goals in studies of topological phases in quantum materials. In this work, we theoretically propose a novel…
Quantum Criticalities with Infinite Anisotropy in Topological Phase Transitions between Dirac and Weyl Semi-metals
SangEun Han, Gil Young Cho, Eun-Gook Moon
We study quantum phase transitions (QPTs) associated with splitting nodal Fermi points, motivated by topological phase transitions between Dirac and Weyl semi-metals. A Dirac point…
Symmetric-Gapped Surface States of Fractional Topological Insulators
Gil Young Cho, Jeffrey C. Y. Teo, Eduardo Fradkin
We construct the symmetric-gapped surface states of a fractional topological insulator with electromagnetic -angle and a discrete gauge field…
Anomaly Manifestation of Lieb-Schultz-Mattis Theorem and Topological Phases
Gil Young Cho, Chang-Tse Hsieh, Shinsei Ryu
The Lieb-Schultz-Mattis (LSM) theorem dictates that emergent low-energy states from a lattice model cannot be a trivial symmetric insulator if the filling per unit cell is not inte…
Surfaces and Slabs of Fractional Topological Insulator Heterostructures
Sharmistha Sahoo, Alexander Sirota, Gil Young Cho +1
Fractional topological insulators (FTI) are electronic topological phases in dimensions enriched by time reversal (TR) and charge conservation symmetries. We focus o…
Relationship between Symmetry Protected Topological Phases and Boundary Conformal Field Theories via the Entanglement Spectrum
Gil Young Cho, Ken Shiozaki, Shinsei Ryu +1
Quantum phase transitions out of a symmetry-protected topological (SPT) phase in (1+1) dimensions into an adjacent, topologically distinct SPT phase protected by the same symmetry…
Response Properties of Axion Insulators and Weyl Semimetals Driven by Screw Dislocations and Dynamical Axion Strings
Yizhi You, Gil Young Cho, Taylor L. Hughes
In this paper, we investigate the theory of dynamical axion string emerging from chiral symmetry breaking in three-dimensional Weyl semimetals. The chiral symmetry is spontaneously…
Universal Entanglement Spectra of Gapped One-dimensional Field Theories
Gil Young Cho, Andreas W. W. Ludwig, Shinsei Ryu
We discuss the entanglement spectrum of the ground state of a gapped (1+1)-dimensional system in a phase near a quantum phase transition. In particular, in proximity to a quantum p…
Topological superconducting phases from inversion symmetry breaking order in spin-orbit-coupled systems
Yuxuan Wang, Gil Young Cho, Taylor L. Hughes +1
We analyze the superconducting instabilities in the vicinity of the quantum-critical point of an inversion symmetry breaking order. We first show that the fluctuations of the inver…
Nematic quantum phase transition of composite Fermi liquids in half-filled Landau levels and their geometric response
Yizhi You, Gil Young Cho, Eduardo Fradkin
We present a theory of the isotropic-nematic quantum phase transition in the composite Fermi liquid arising in half-filled Landau levels. We show that the quantum phase transition…
Topological Phase Transitions in Line-nodal Superconductors
SangEun Han, Gil Young Cho, Eun-Gook Moon
Fathoming interplay between symmetry and topology of many-electron wave-functions has deepened understanding of quantum many body systems, especially after the discovery of topolog…