Publications (123)
Continuous and discontinuous topological quantum phase transitions
Bitan Roy, Pallab Goswami, Jay D. Sau
The continuous quantum phase transition between noninteracting, time-reversal symmetric topological and trivial insulators in three dimensions is described by the massless Dirac fe…
Higher-order topological phases on fractal lattices
Sourav Manna, Snehasish Nandy, Bitan Roy
Electronic materials harbor a plethora of exotic quantum phases, ranging from unconventional superconductors to non-Fermi liquids, and, more recently, topological phases of matter.…
Ferromagnetism and glassiness on the surface of topological insulators
Chun-Xiao Liu, Bitan Roy, Jay D. Sau
We investigate the nature of the ordering among magnetic adatoms, randomly deposited on the surface of topological insulators. Restricting ourselves to dilute impurity and weak cou…
Strained hyperbolic Dirac fermions: Zero modes, flat bands, and competing orders
Christopher A. Leong, Bitan Roy
Starting from the nearest-neighbor tight-binding model on {10,3} and {14,3} hyperbolic lattices that, for a uniform hopping amplitude, gives rise to emergent Dirac fermions on a cu…
Dynamic mass generation on two-dimensional electronic hyperbolic lattices
Noble Gluscevich, Abhisek Samanta, Sourav Manna +1
Free electrons hopping on hyperbolic lattices embedded on a negatively curved space can foster (a) Dirac liquids, (b) Fermi liquids, and (c) flat bands, respectively characterized…
Generalized Triple-Component Fermions: Lattice Model, Fermi arcs, and Anomalous Transport
Snehasish Nandy, Sourav Manna, Dumitru Calugaru +1
We generalize the construction of time-reversal symmetry-breaking triple-component semimetals, transforming under the pseudospin-1 representation, to arbitrary (anti-)monopole char…
Anisotropic marginal Fermi liquid for Coulomb interacting generalized Weyl fermions
Gabriel Malavé, Rodrigo Soto-Garrido, Bitan Roy +1
Owing to the power-law anisotropy in the quasiparticle dispersion, yielding an enhanced density of states, the effects of long range Coulomb interaction get amplified in three-dime…
Transport in strained graphene: Interplay of Abelian and axial magnetic fields
Aqeel Ahmed, Sanjib Kumar Das, Bitan Roy
Immersed in external magnetic fields (), buckled graphene constitutes an ideal tabletop setup, manifesting a confluence of time-reversal symmetry () breaking Abeli…
Bilayer graphene with parallel magnetic field and twisting: Phases and phase transitions in a highly tunable Dirac system
Bitan Roy, Kun Yang
The effective theory for bilayer graphene (BLG), subject to parallel/in-plane magnetic fields, is derived. With a sizable magnetic field the trigonal warping becomes irrelevant, an…
Collisionless Transport Close to a Fermionic Quantum Critical Point in Dirac Materials
Bitan Roy, Vladimir Juricic
Quantum transport close to a critical point is a fundamental, but enigmatic problem due to fluctuations, persisting at all length scales. We report the scaling of optical conductiv…
Two-dimensional Disordered Projected Branes: Stability and Quantum Criticality via Dimensional Reduction
Alexander C. Tyner, Vladimir Juricic, Bitan Roy
The interplay of disorder and dimensionality governs the emergence and stability of electronic phases in quantum materials and quantum phase transitions among them. While three-dim…
Global phase diagram of two-dimensional dirty hyperbolic Dirac liquids
Christopher A. Leong, Daniel J. Salib, Bitan Roy
Within the framework of the canonical nearest-neighbor tight-binding model for spinless fermions, a family of two-dimensional bipartite hyperbolic lattices hosts massless Diraclike…
Yukawa-Lorentz Symmetry in Non-Hermitian Dirac Materials
Vladimir Juricic, Bitan Roy
Lorentz spacetime symmetry represents a unifying feature of the fundamental forces, typically manifest at sufficiently high energies, while in quantum materials it emerges in the d…
Shear viscosity as a probe of nodal topology
Marianne Moore, Piotr Surowka, Vladimir Juricic +1
Electronic materials can sustain a variety of unusual, but symmetry protected touchings of valence and conduction bands, each of which is identified by a distinct topological invar…
Non-Abelian anomalies in multi-Weyl semimetals
Renato M. A. Dantas, Francisco Peña-Benitez, Bitan Roy +1
We construct the effective field theory for time-reversal symmetry breaking multi-Weyl semimetals (mWSMs), composed of a single pair of Weyl nodes of (anti-)monopole charge , wi…
Projected Topological Branes
Archisman Panigrahi, Vladimir Juricic, Bitan Roy
Nature harbors crystals of dimensionality () only up to three. Here we introduce the notion of \emph{projected topological branes} (PTBs): Lower-dimensional branes embedded in h…
Metals, fractional metals, and superconductivity in rhombohedral trilayer graphene
Andras Szabo, Bitan Roy
Combining mean-field and renormalization group analyses, here we unveil the nature of recently observed superconductivity and parent metallic states in chemically doped rhombohedra…
Interacting spin-3/2 fermions in a Luttinger semimetal: Competing phases and their selection in the global phase diagram
Andras Szabo, Roderich Moessner, Bitan Roy
We compute the effects of electronic interactions on gapless spin-3/2 excitations that in a noninteracting system emerge at a bi-quadratic touching of Kramers degenerate valence an…
Strain engineered higher order topological phases for spin-3/2 Luttinger fermions
Andras Szabo, Roderich Moessner, Bitan Roy
Recently, the notion of topological phases of matter has been extended to higher-order incarnations, supporting gapless modes on even lower dimensional boundaries, such as corners…
Competing orders and topology in the global phase diagram of pyrochlore iridates
Pallab Goswami, Bitan Roy, Sankar Das Sarma
Strong electronic interactions and spin orbit coupling can be conducive for realizing novel broken symmetry phases supporting quasiparticles with nontrivial band topology. 227 pyro…
Magnetic catalysis in weakly interacting hyperbolic Dirac materials
Bitan Roy
Due to the linearly vanishing density of states, emergent massless Dirac quasiparticles resulting from the free fermion motion in a family of two-dimensional half-filled bipartite…
Nodal pair density waves from a quarter-metal in crystalline graphene multilayers
Sk Asrap Murshed, Bitan Roy
Crystalline graphene heterostructures, namely, Bernal bilayer graphene (BBLG) and rhombohedral trilayer graphene (RTLG), for example, subject to perpendicular electric displacement…
Interacting Weyl fermions: Phases, phase transitions and global phase diagram
Bitan Roy, Pallab Goswami, Vladimir Juricic
We study the effects of short-range interactions on a generalized three-dimensional Weyl semimetal, where the band touching points act as the (anti)monopoles of Abelian Berry curva…
Dissolution of topological Fermi arcs in a dirty Weyl semimetal
Robert-Jan Slager, Vladimir Juricic, Bitan Roy
Weyl semimetals (WSMs) have recently attracted a great deal of attention as they provide condensed matter realization of chiral anomaly, feature topologically protected Fermi arc s…
Quantum critical scaling in magnetic field near the Dirac point in graphene
Igor F. Herbut, Bitan Roy
Motivated by the recent measurement of the activation energy at the quantum Hall state at the filling factor f=1 in graphene we discuss the scaling of the interaction-induced gaps…
Topological insulators on fractal lattices: A general principle of construction
Daniel J. Salib, Aiden J. Mains, Bitan Roy
Fractal lattices, featuring the self-similarity symmetry, are often geometric descents of parent crystals, possessing all their discrete symmetries (such as rotations and reflectio…
Superconductivity in three-dimensional interacting doped topological insulators
Andras L. Szabo, Bitan Roy
Three-dimensional doped Dirac insulators foster simply connected (in both topological and trivial regimes) and annular (deep inside the topological regime) Fermi surfaces (FSs) in…
Topological superconductivity of spin-3/2 carriers in a three-dimensional doped Luttinger semimetal
Bitan Roy, Sayed Ali Akbar Ghorashi, Matthew S. Foster +1
We investigate topological Cooper pairing, including gapless Weyl and fully gapped class DIII superconductivity, in a three-dimensional doped Luttinger semimetal. The latter descri…
Higher-order topological superconductors in -, -odd quadrupolar Dirac materials
Bitan Roy
The presence or absence of certain symmetries in the normal state (NS) also determines the symmetry of the Cooper pairs. Here we show that parity () and time-reversal…
Spontaneous symmetry breaking and quantum Hall valley ordering on the surface of topological hexaborides
Xiao Li, Bitan Roy, S. Das Sarma
A number of strongly correlated heavy fermion compounds, such as samarium (Sm), ytterbium (Yb), plutonium (Pu) hexaboride, are predicted to become topological insulators at low tem…
Unconventional superconductivity in nearly flat bands in twisted bilayer graphene
Bitan Roy, Vladimir Juricic
Flat electronic bands can accommodate a plethora of interaction driven quantum phases, since kinetic energy is quenched therein and electronic interactions therefore prevail. Twist…
Dirty Weyl semimetals: Stability, phase transition and quantum criticality
Soumya Bera, Jay D. Sau, Bitan Roy
We study the stability of three-dimensional incompressible Weyl semimetals in the presence of random quenched charge impurities. Combining numerical analysis and scaling theory we…
Inhomogeneous magnetic catalysis on graphene's honeycomb lattice
Bitan Roy, Igor F. Herbut
We investigate the ordering instability of interacting (and for simplicity, spinless) fermions on graphene's honeycomb lattice by numerically computing the Hartree self-consistent…
Dirty higher-order Dirac semimetal: Quantum criticality and bulk-boundary correspondence
Andras Szabo, Bitan Roy
We analyze the stability of time-reversal () and lattice four-fold () symmetry breaking three-dimensional higher-order topological (HOT) Dirac semimetals (DSMs)…
Theory of unconventional quantum Hall effect in strained graphene
Bitan Roy, Zi-Xiang Hu, Kun Yang
We show through both theoretical arguments and numerical calculations that graphene discerns an unconventional sequence of quantized Hall conductivity, when subject to both magneti…
Unifying Interacting Nodal Semimetals: A New Route to Strong Coupling
Shouvik Sur, Bitan Roy
We propose a general framework for constructing a large set of nodal-point semimetals by tuning the number of linearly () and (at most) quadratically () dispersing direct…
Quantum Multicriticality near the Dirac-Semimetal to Band-Insulator Critical Point in Two Dimensions: A Controlled Ascent from One Dimension
Bitan Roy, Matthew S. Foster
We compute the effects of generic short-range interactions on gapless electrons residing at the quantum critical point separating a two-dimensional Dirac semimetal (DSM) and a symm…
Itinerant quantum multi-criticality of two dimensional Dirac fermions
Bitan Roy, Pallab Goswami, Vladimir Juricic
We analyze emergent quantum multi-criticality for strongly interacting, massless Dirac fermions in two spatial dimensions () within the framework of Gross-Neveu-Yukawa models,…
Surface Theory of a Family of Topological Kondo Insulators
Bitan Roy, Jay D. Sau, Maxim Dzero +1
A low-energy theory for the helical metallic states, residing on the surface of cubic topological Kondo insulators, is derived. Despite our analysis being primarily focused on a pr…
Axionic superconductivity in three dimensional doped narrow gap semiconductors
Pallab Goswami, Bitan Roy
We consider the competition between the conventional s-wave and the triplet Balian-Werthamer or the B-phase pairings in the doped three dimensional narrow gap semiconductors, such…
Observation of dislocation bound states and skin effects in non-Hermitian Chern insulators
Jia-Xin Zhong, Bitan Roy, Yun Jing
The confluence of non-Hermitian (NH) topology and crystal defects has culminated significant interest, yet its experimental exploration has been limited due to the challenges invol…
Color degeneracy of competing orders near topological defects cores in planar quadratic band touching systems
Bitan Roy
We study two-dimensional fermionic systems, displaying quadratic band touching in the normal state, in the presence of vortices and skyrmions of insulating and superconducting mass…
Theory of interacting electrons on the honeycomb lattice
Igor F. Herbut, Vladimir Juricic, Bitan Roy
The low-energy theory of electrons interacting via repulsive short-range interactions on graphene's honeycomb lattice at half filling is presented. The exact symmetry of the Lagran…
index for gapless fermionic modes in the vortex core of three dimensional paired Dirac fermions
Bitan Roy, Pallab Goswami
We consider the gapless modes along the vortex line of the fully gapped, momentum independent paired states of three-dimensional Dirac fermions. For this, we require the solution o…
Topolectric circuits: Theory and construction
Junkai Dong, Vladimir Juricic, Bitan Roy
We highlight a general theory to engineer arbitrary Hermitian tight-binding lattice models in electrical LC circuits, where the lattice sites are replaced by the electrical nodes,…
Unconventional superconductivity on honeycomb lattice: the theory of Kekule order parameter
Bitan Roy, Igor F. Herbut
A spatially non-uniform superconducting phase is proposed as the electronic variational ground state for the attractive interactions between nearest neighbors on graphene's honeyco…
Optical conductivity of an interacting Weyl liquid in the collisionless regime
Bitan Roy, Vladimir Juricic
Optical conductivity (OC) can serve as a measure of correlation effects in a wide range of condensed matter systems. We here show that the long-range tail of the Coulomb interactio…
Noncrystalline topological superconductors
Sourav Manna, Sanjib Kumar Das, Bitan Roy
Topological insulators, featuring bulk-boundary correspondence, have been realized on a large number of noncrystalline materials, among which amorphous network, quasicrystals and f…
Note on "Quantum superconducting criticality in graphene and topological insulators"
Bitan Roy, Vladimir Juricic, Igor F. Herbut
We correct our previous conclusion regarding the fate of a charged quantum critical point across the superconducting transition for two dimensional massless Dirac fermion. Within t…
Topological insulators in strained graphene at weak interaction
Bitan Roy, Igor F. Herbut
The nature of the electronic ground states in strained undoped graphene at weak interaction between electrons is discussed. After providing a lattice realization of the strain-indu…
Yukawa-Lorentz symmetry of interacting non-Hermitian birefringent Dirac fermions
Sk Asrap Murshed, Bitan Roy
The energy spectra of linearly dispersing gapless spin-3/2 Dirac fermions display birefringence, featuring two effective Fermi velocities, thus breaking the space-time Lorentz symm…
Global phase diagram of a three dimensional dirty topological superconductor
Bitan Roy, Yahya Alavirad, Jay D. Sau
We investigate the phase diagram of a three-dimensional, time-reversal symmetric topological superconductor in the presence of charge impurities and random -wave pairing. Combin…
Classification of massive and gapless phases in bilayer graphene
Bitan Roy
We here classify of all the fully gapped \emph{massive} and \emph{gapless} phases in bilayer graphene. The effective low energy theory in bilayer graphene is constructed, and vario…
Competing charge-density-wave, magnetic and topological ground states at and near Dirac points in graphene in axial magnetic fields
Bitan Roy, Jay D. Sau
In the presence of axial magnetic fields that can be realized in deliberately buckled monolayer graphene, quasi-relativistic Dirac fermions may find themselves in a variety of brok…
Incompressible Even Denominator Fractional Quantum Hall States in the Zeroth Landau Level of Monolayer Graphene
Sujit Narayanan, Bitan Roy, Malcolm P. Kennett
Incompressible even denominator fractional quantum Hall states at fillings and have been recently observed in monolayer graphene. We use…
Migdal's theorem and electron-phonon vertex corrections in Dirac materials
Bitan Roy, Jay Deep Sau, S. Das Sarma
Migdal's theorem plays a central role in the physics of electron-phonon interactions in metals and semiconductors, and has been extensively studied theoretically for parabolic band…
Magnetotransport in multi-Weyl semimetals: A kinetic theory approach
Renato M. A. Dantas, Francisco Peña-Benitez, Bitan Roy +1
We study the longitudinal magnetotransport in three-dimensional multi-Weyl semimetals, constituted by a pair of (anti)-monopole of arbitrary integer charge (), with and…
Non-Hermitian dislocation modes: Stability and melting across exceptional points
Archisman Panigrahi, Roderich Moessner, Bitan Roy
The traditional bulk-boundary correspondence assuring robust gapless modes at the edges and surfaces of insulating and nodal topological materials gets masked in non-Hermitian (NH)…
Half vortex and fractional electrical charge in two dimensions
Bitan Roy, Igor F. Herbut
Despite fermion doubling, a two-dimensional quasi-relativistic spin-1/2 system can still lead to true fractionalization of electrical charge, when a massive ordered phase supports…
Strain-induced time-reversal odd superconductivity in graphene
Bitan Roy, Vladimir Juricic
Time-reversal symmetry breaking superconductors are exotic phases of matter with fascinating properties, which are, however, encountered rather sparsely. Here we identify the possi…
Diffusive Quantum Criticality in Three Dimensional Disordered Dirac Semimetals
Bitan Roy, S. Das Sarma
Three dimensional Dirac semimetals are stable against weak potential disorder, but not against strong disorder. In the language of renormalization group, such stability stems from…
Topologically distinct atomic insulators
Sanjib Kumar Das, Sourav Manna, Bitan Roy
Topological classification of quantum solids often (if not always) groups all trivial atomic or normal insulators (NIs) into the same featureless family. As we argue here, this is…
Disordered and interacting parabolic semimetals in two and three dimensions
Hsin-Hua Lai, Bitan Roy, Pallab Goswami
A clean noninteracting parabolic semimetal is characterized by quadratic band touching between the conduction and the valence bands at isolated diabolic points in the Brillouin zon…
Non-unitary time dynamics of topological modes in open planar quantum systems
Saakshi Porwal, Bitan Roy
Nontrivial topological invariant of bulk electronic wavefunctions in two-dimensional quantum crystals leaves its footprints on the edge, dislocation, and corner modes. Here we inve…
Chiral Symmetry Breaking and the Quantum Hall Effect in Monolayer Graphene
Bitan Roy, Malcolm P. Kennett, S. Das Sarma
Monolayer graphene in a strong magnetic field exhibits quantum Hall states at filling fractions and that are not explained within a picture of noninteracting el…
Competing orders and cascade of degeneracy lifting in doped Bernal bilayer graphene
Andras Szabo, Bitan Roy
Motivated by recent experiments [H. Zhou, \emph{et al.}, Science {\bf 375}, 774 (2022) and S. C. de la Barrera, \emph{et al.}, arXiv:2110.13907], here we propose a general mechanis…
Magnetic catalysis and axionic charge-density-wave in Weyl semimetals
Bitan Roy, Jay D. Sau
Three-dimensional Weyl and Dirac semimetals can support a chiral-symmetry-breaking, fully gapped, charge-density-wave order even for sufficiently weak repulsive electron-electron i…
Inner Skin Effects on Non-Hermitian Topological Fractals
Sourav Manna, Bitan Roy
Non-Hermitian (NH) crystals, quasicrystals and amorphous network display an accumulation of a macroscopic number of states near one of its specific interfaces with vacuum, such as…
Extended Hubbard model in undoped and doped monolayer and bilayer graphene: Selection rules and organizing principle among competing orders
Andras Szabo, Bitan Roy
Performing a leading-order renormalization group analysis, here we compute the effects of generic local or short-range electronic interactions in monolayer and Bernal bilayer graph…
Zero-modes and global antiferromagnetism in strained graphene
Bitan Roy, Fakher F. Assaad, Igor F. Herbut
A novel magnetic ground state is reported for the Hubbard Hamiltonian in strained graphene. When the chemical potential lies close to the Dirac point, the ground state exhibits loc…
Note on "Diffusive quantum criticality in three-dimensional disordered Dirac semimetals"
Bitan Roy, S. Das Sarma
We correct erroneous conclusions from Ref.[1] regarding the values of various critical exponents, calculated to the two-loop order, and argue that -expansion near two spatial d…
Charge-density waves and stripes in quarter metals of graphene heterostructures
Sk Asrap Murshed, Bitan Roy
Motivated by recent experiments, here we identify valley-coherent charge-density wave (VC-CDW) order in the non-degenerate quarter-metal for the entire family of chirally-stacked $…
Conserved charges of order-parameter textures in Dirac systems
Igor F. Herbut, Chi-Ken Lu, Bitan Roy
A simple expression for the induced fermion current in the presence of a texture in mass-order-parameters in two-dimensional condensed-matter Dirac systems is derived using the rep…
From Birefringent Electrons to a Marginal or Non-Fermi Liquid of Relativistic Spin-1/2 Fermions: An Emergent Superuniversality
Bitan Roy, Malcolm P. Kennett, Kun Yang +1
We present the quantum critical theory of an interacting nodal Fermi-liquid of quasi-relativisitc pseudo-spin-3/2 fermions that have a non-interacting birefringent spectrum with tw…
Interacting quantum Hall states in a finite graphene flake and at finite temperature
Hank Chen, Matthew R. C. Fitzpatrick, Sujit Narayanan +2
The integer quantum Hall states at fillings and in monolayer graphene have drawn much attention as they are generated by electron-electron interactions. Here we…
Asymmetric spatial structure of zero modes for birefringent Dirac fermions
Bitan Roy, Peter M. Smith, Malcolm P. Kennett
We study the zero energy modes that arise in an unusual vortex configuration involving both the kinetic energy and an appropriate mass term in a model which exhibits birefringent D…
Interacting line-node semimetal: Proximity effect and spontaneous symmetry breaking
Bitan Roy
Effects of short-range electronic interactions in a three-dimensional line-node semimetal that supports linearly dispersing quasiparticles around an isolated loop in the Brillouin…
Hidden-ordered Dirac fermions
Bitan Roy
I propose a Hermitian extension of the Lorentz-symmetric Dirac theory by complementing the associated Hamiltonian with another \emph{masslike} anticommuting Dirac operator. The res…
Out of equilibrium higher-order topological insulator: Floquet engineering and quench dynamics
Tanay Nag, Vladimir Juricic, Bitan Roy
Higher-order topological~(HOT) states,~hosting topologically protected modes on lower-dimensional boundaries,~such as hinges and corners, have recently extended the realm of the st…
Anomalous and normal dislocation modes in Floquet topological insulators
Tanay Nag, Bitan Roy
Electronic bands featuring nontrivial bulk topological invariant manifest through robust gapless modes at the boundaries, e.g., edges and surfaces. As such this bulk-boundary corre…
Non-Hermitian catalysis of spontaneous symmetry breaking on Euclidean and hyperbolic lattices
Christopher A. Leong, Bitan Roy
Depending on the lattice geometry, the nearest-neighbor (NN) tight-binding model for free fermions gives rise to particle-hole symmetric emergent Dirac liquid, Fermi liquid, and fl…
Quantized thermal and spin transports of dirty planar topological superconductors
Sanjib Kumar Das, Bitan Roy
Nontrivial bulk topological invariants of quantum materials can leave their signatures on charge, thermal and spin transports. In two dimensions, their imprints can be experimental…
Excitonic and Nematic Instabilities on the Surface of Topological Kondo Insulators
Bitan Roy, Johannes Hofmann, Valentin Stanev +2
We study the effects of strong electron-electron interactions on the surface of cubic topological Kondo insulators (such as samarium hexaboride, SmB). Cubic topological Kondo i…
Hybrid symmetry class topological insulators
Sanjib Kumar Das, Bitan Roy
Traditional topological materials belong to different Altland-Zirnbauer symmetry classes (AZSCs) depending on their non-spatial symmetries. Here we introduce the notion of hybrid s…
Universal optical conductivity of a disordered Weyl semimetal
Bitan Roy, Vladimir Juricic, Sankar Das Sarma
Topological Weyl semimetals, besides manifesting chiral anomaly, can also accommodate a disorder-driven unconventional quantum phase transition into a metallic phase. A fundamental…
Fermionic multicriticality near Kekulé valence-bond ordering in honeycomb lattice
Bitan Roy, Vladimir Juricic
We analyze the possibility of emergent quantum multicritical points (MCPs) with enlarged chiral symmetry, when strongly interacting gapless Dirac fermions acquire comparable propen…
Effective field theory, chiral anomaly and vortex zero modes for odd parity topological superconducting state of three dimensional Dirac materials
Pallab Goswami, Bitan Roy
The low energy quasiparticle dispersion of various narrow gap and gapless semiconductors are respectively described by three dimensional massive and massless Dirac fermions. The th…
Dislocation as a bulk probe of higher-order topological insulators
Bitan Roy, Vladimir Juricic
Topological materials occupy the central stage in the modern condensed matter physics because of their robust metallic edge or surface states protected by the topological invariant…
Quantum Electrodynamics of Non-Hermitian Dirac Fermions
Sk Asrap Murshed, Bitan Roy
We develop an effective quantum electrodynamics for non-Hermitian (NH) Dirac materials interacting with photons. These systems are described by nonspatial symmetry protected Lorent…
Quantum superconducting criticality in graphene and topological insulators
Bitan Roy, Vladimir Juricic, Igor F. Herbut
The field theory of the semimetal-superconductor quantum phase transition for graphene and surface states of topological insulators is presented. The Lagrangian possesses the globa…
Axionic quantum criticality of generalized Weyl semimetals
Gabriel Malave, Rodrigo Soto-Garrido, Vladimir Juricic +1
We formulate a field-theoretic description for -dimensional interacting nodal semimetals, featuring dispersion that scales with the linear and th power of momentum along $d_L…
Hierarchy of higher-order Floquet topological phases in three dimensions
Tanay Nag, Vladimir Juricic, Bitan Roy
Following a general protocol of periodically driving static first-order topological phases (supporting surface states) with suitable discrete symmetry breaking Wilson-Dirac masses,…
Ordinary lattice defects as probes of topology
Aiden J. Mains, Jia-Xin Zhong, Yun Jing +1
In addition to topological lattice defects such as dislocations and disclinations, crystals are also accompanied by unavoidable ordinary defects, devoid of any non-trivial geometry…
From local spin nematicity to altermagnets: Footprints of band topology
Sanjib Kumar Das, Bitan Roy
Altermagnets are crystallographic rotational symmetry breaking spin-ordered states, possessing a net zero magnetization despite manifesting Kramer's non-degenerate bands. Here, we…
Higher-order topological insulators in amorphous solids
Adhip Agarwala, Vladimir Juricic, Bitan Roy
We identify the possibility of realizing higher order topological (HOT) phases in noncrystalline or amorphous materials. Starting from two and three dimensional crystalline HOT ins…
Polar hairs of mixed-parity nodal superconductors in Rarita-Schwinger-Weyl metals
Saswata Mandal, Bitan Roy
Linearly dispersing Rarita-Schwinger-Weyl (RSW) fermions featuring two Fermi velocities are the key constituents of itinerant spin-3/2 quantum materials. When doped, RSW metals sus…
Theory of integer quantum Hall effect in insulating bilayer graphene
Bitan Roy
A variational ground state for insulating bilayer graphene (BLG), subject to quantizing magnetic fields, is proposed. Due to the Zeeman coupling, the layer anti-ferromagnet (LAF) o…
Higher Order Topological Phases: A General Principle of Construction
Dumitru Calugaru, Vladimir Juricic, Bitan Roy
We propose a general principle for constructing higher-order topological (HOT) phases. We argue that if a -dimensional first-order or regular topological phase involves Herm…
Competing magnetic orders and multipolar Weyl fermions in 227 pyrochlore iridates
Konstantinos Ladovrechis, Tobias Meng, Bitan Roy
Owing to comparably strong spin-orbit coupling and Hubbard interaction, iridium based 227 pyrochlore oxides harbor a rich confluence of competing magnetic orders and emergent multi…
Mixed-parity octupolar pairing and corner Majorana modes in three dimensions
Bitan Roy, Vladimir Juricic
We identify time-reversal symmetry breaking mixed-parity superconducting states that feature eight Majorana corner modes in properly cleaved three-dimensional cubic crystals. Namel…