C. L. Kane
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View article: Flux Attachment Theory of Fractional Excitonic Insulators
Flux Attachment Theory of Fractional Excitonic Insulators Open
The search for fractional quantized Hall phases in the absence of a magnetic field has primarily targeted flat-band systems that mimic the features of a Landau level. In an alternative approach, the fractional excitonic insulator (FEI) has…
View article: Persistent Fluctuating Superconductivity and Planckian Dissipation in Fe(Te,Se)
Persistent Fluctuating Superconductivity and Planckian Dissipation in Fe(Te,Se) Open
Increasingly intricate phase diagrams in new classes of superconductors host fascinating interactions between superconductivity, diverse quantum phases, and quantum critical dynamics. The native superfluids, however, often exhibit much low…
View article: Topological Density Correlations in a Fermi Gas
Topological Density Correlations in a Fermi Gas Open
A Fermi gas of non-interacting electrons, or ultra-cold fermionic atoms, has a quantum ground state defined by a region of occupancy in momentum space known as the Fermi sea. The Euler characteristic $χ_F$ of the Fermi sea serves to topolo…
View article: Topological Andreev rectification
Topological Andreev rectification Open
peer reviewed
View article: Probing Fermi sea topology by Andreev state transport
Probing Fermi sea topology by Andreev state transport Open
We show that the topology of the Fermi sea of a two-dimensional electron gas (2DEG) is reflected in the ballistic Landauer transport along a long and narrow Josephson $π$-junction that proximitizes the 2DEG. The low-energy Andreev states b…
View article: Topological Multipartite Entanglement in a Fermi Liquid
Topological Multipartite Entanglement in a Fermi Liquid Open
We show that the topology of the Fermi sea of a $D$-dimensional Fermi gas is reflected in the multipartite entanglement characterizing $D+1$ regions that meet at a point. For odd $D$ we introduce the multipartite mutual information, and sh…
View article: Quantized Nonlinear Conductance in Ballistic Metals
Quantized Nonlinear Conductance in Ballistic Metals Open
We introduce a non-linear frequency dependent D+1 terminal conductance that characterizes a D dimensional Fermi gas, generalizing the Landauer conductance in D=1. For a 2D ballistic conductor we show that this conductance is quantized and …
View article: Direct imaging of antiferromagnetic domains and anomalous layer-dependent mirror symmetry breaking in atomically thin MnPS$_3$
Direct imaging of antiferromagnetic domains and anomalous layer-dependent mirror symmetry breaking in atomically thin MnPS$_3$ Open
We have developed a sensitive cryogenic second-harmonic generation microscopy to study a van der Waals antiferromagnet MnPS$_3$. We find that long-range Néel antiferromagnetic order develops from the bulk crystal down to the bilayer, while…
View article: Translation symmetry-enriched toric code insulator
Translation symmetry-enriched toric code insulator Open
We introduce a two-dimensional electronic insulator that possesses a toric code topological order enriched by translation symmetry. This state can be realized from disordering a weak topological superconductor by double-vortex condensation…
View article: Nondiagonal anisotropic quantum Hall states
Nondiagonal anisotropic quantum Hall states Open
We propose a family of Abelian quantum Hall states termed the non-diagonal\nstates, which arise at filling factors $\\nu=p/2q$ for bosonic systems and\n$\\nu=p/(p+2q)$ for fermionic systems, with $p$ and $q$ being two coprime\nintegers. No…
View article: Non-diagonal anisotropic quantum Hall states
Non-diagonal anisotropic quantum Hall states Open
We propose a family of Abelian quantum Hall states termed the non-diagonal states, which arise at filling factors $ν=p/2q$ for bosonic systems and $ν=p/(p+2q)$ for fermionic systems, with $p$ and $q$ being two coprime integers. Non-diagona…
View article: Equivalent critical behavior of a helical point contact and a two-channel Luttinger liquid–topological superconductor junction
Equivalent critical behavior of a helical point contact and a two-channel Luttinger liquid–topological superconductor junction Open
We demonstrate the equivalence between two distinct Luttinger liquid impurity problems. The first concerns a one-dimensional topological superconductor coupled at one end to the ends of two single-channel Luttinger liquids. The second conc…
View article: Equivalent critical behavior of a helical point contact and a two-channel Luttinger liquid - topological superconductor junction
Equivalent critical behavior of a helical point contact and a two-channel Luttinger liquid - topological superconductor junction Open
We demonstrate the equivalence between two distinct Luttinger liquid impurity problems. The first concerns a one-dimensional topological superconductor coupled at one end to the ends of two single channel Luttinger liquids. The second conc…
View article: Higher angular momentum band inversions in two dimensions
Higher angular momentum band inversions in two dimensions Open
We study a special class of topological phase transitions in two dimensions described by the inversion of bands with relative angular momentum higher than 1. A band inversion of this kind, which is protected by rotation symmetry, separates…
View article: Higher angular momentum band inversions in two dimensions
Higher angular momentum band inversions in two dimensions Open
We study a special class of topological phase transitions in two dimensions described by the inversion of bands with relative angular momentum higher than 1. A band inversion of this kind, which is protected by rotation symmetry, separates…
View article: Fractional Excitonic Insulator
Fractional Excitonic Insulator Open
We argue that a correlated fluid of electrons and holes can exhibit a fractional quantum Hall effect at zero magnetic field analogous to the Laughlin state at filling 1/m. We introduce a variant of the Laughlin wave function for electrons …
View article: Fibonacci Topological Superconductor
Fibonacci Topological Superconductor Open
We introduce a model of interacting Majorana fermions that describes a superconducting phase with a topological order characterized by the Fibonacci topological field theory. Our theory, which is based on a SO(7)_{1}/(G_{2})_{1} coset fact…
View article: Fibonacci Topological Superconductor
Fibonacci Topological Superconductor Open
We introduce a model of interacting Majorana fermions that describes a superconducting phase with a topological order characterized by the Fibonacci topological field theory. Our theory, which is based on a $SO(7)_1/(G_2)_1$ coset factoriz…
View article: Pairing in Luttinger Liquids and Quantum Hall States
Pairing in Luttinger Liquids and Quantum Hall States Open
We study spinless electrons in a single-channel quantum wire interacting through attractive interaction, and the quantum Hall states that may be constructed by an array of such wires. For a single wire, the electrons may form two phases, t…
View article: Wallpaper Fermions and the Topological Dirac Insulator
Wallpaper Fermions and the Topological Dirac Insulator Open
Recent developments in the relationship between bulk topology and surface crystal symmetry have led to the discovery of materials whose gapless surface states are protected by crystal symmetries. In fact, there exists only a very limited s…
View article: Mechanical graphene
Mechanical graphene Open
We present a model of a mechanical system with a vibrational mode spectrum\nidentical to the spectrum of electronic excitations in a tight-binding model of\ngraphene. The model consists of point masses connected by elastic couplings,\ncall…
View article: Spin-orbit semimetals in the layer groups
Spin-orbit semimetals in the layer groups Open
Recent interest in point and line node semimetals has led to the proposal and\ndiscovery of these phenomena in numerous systems. Frequently, though, these\nnodal systems are described in terms of individual properties reliant on\nspecific …
View article: Topological Phonons and Weyl Lines in Three Dimensions
Topological Phonons and Weyl Lines in Three Dimensions Open
Topological mechanics and phononics have recently emerged as an exciting field of study. Here we introduce and study generalizations of the three-dimensional pyrochlore lattice that have topologically protected edge states and Weyl lines i…
View article: Double Dirac Semimetals in Three Dimensions
Double Dirac Semimetals in Three Dimensions Open
We study a class of Dirac semimetals that feature an eightfold-degenerate double Dirac point. We show that 7 of the 230 space groups can host such Dirac points and argue that they all generically display linear dispersion. We introduce an …
View article: Universal Symmetry-Protected Resonances in a Spinful Luttinger Liquid
Universal Symmetry-Protected Resonances in a Spinful Luttinger Liquid Open
We study the problem of resonant tunneling through a quantum dot in a spinful Luttinger liquid. For a range of repulsive interactions, we find that for symmetric barriers there exist resonances with a universal peak conductance $2g^* e^2/h…