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Nearly Insulating Strongly Correlated Systems: Gossamer Superconductors and Metals
Bogdan A. Bernevig, George Chapline, Robert B. Laughlin +2
Recently a new phenomenological Hamiltonian was proposed to describe the superconducting cuprates in which correlations and on-site Coulomb repulsion are introduced by partial Gutz…
Dissipationless Spin Current in Anisotropic p-Doped Semiconductors
Bogdan A. Bernevig, JiangPing Hu, Eran Mukamel +1
Recently, dissipationless spin current has been predicted for the p-doped semiconductors with spin-orbit coupling. Here we investigate the effect of spherical symmetry breaking on…
Spin Current in Spin-Orbit Coupling Systems
Jiangping Hu, Bogdan A. Bernevig, Congjun Wu
We present a simple and pedagogical derivation of the spin current as the linear response to an external electric field for both Rashba and Luttinger spin-orbital coupling Hamilton…
The Eight Dimensional Quantum Hall Effect and the Octonions
B. A. Bernevig, J. P. Hu, N. Toumbas +1
We construct a generalization of the quantum Hall effect where particles move in an eight dimensional space under an SO(8) gauge field. The underlying mathematics of this particle…
On Vortices and Phase Coherence in High Tc Superconductors
Bogdan A. Bernevig, Zaira Nazario, David I. Santiago
We show that an array of Josephson coupled Cooper paired planes can never have long range phase coherence at any finite temperature due to an infrared divergence of phase fluctuati…
Magnetic Instability in Strongly Correlated Superconductors
Bogdan A. Bernevig, Robert B. Laughlin, David I. Santiago
Recently a new phenomenological Hamiltonian has been proposed to describe the superconducting cuprates. This so-called Gossamer Hamiltonian is an apt model for a superconductor wit…
Geometry of the 3-Qubit State, Entanglement and Division Algebras
Bogdan A. Bernevig, Han-Dong Chen
We present a generalization to 3-qubits of the standard Bloch sphere representation for a single qubit and of the 7-dimensional sphere representation for 2 qubits presented in Moss…
Interaction among particles with fractionalized quantum numbers in one dimensional samples
Bogdan A. Bernevig, Domenico Giuliano, Robert B. Laughlin
The elementary excitations of strongly correlated one-dimensional electronic systems - spinons and holons - are discussed in an exact solution of the Haldane-Shastry and Kuramoto-Y…