Charged-particle multiplicity distribution in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>pd</mml:mi></mml:math>interactions at 300 GeV/<i>c</i>

Sheng, A.; Firestone, A.; Peck, C.; Dzierba, A.; Anderson, E. W.; Crawley, H. B.; Kernan, W.J.; Canter, J.; Dao, F.T.; Mann, A.; Schneps, J.; Poucher, J. S.; Stone, S.

doi:10.1103/physrevd.12.1219

Cited by 49 publications

(56 citation statements)

References 2 publications

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“…The Chern number is zero, C = 0, due to the time-reversal symmetry. The spin-Chern number C σ is given by C σ = (C ↑ − C ↓ ) /2 in terms of the spin-dependent Chern number C s for each spin subsector [15][16][17][18] . We find that C σ is zero for the flat bands since the eigen functions are given by Ψ = (1, 0, 1, 0) and Ψ = (0, −1, 0, 1) for them.…”

mentioning

confidence: 99%

Exact solutions for two-dimensional topological superconductors: Hubbard interaction induced spontaneous symmetry breaking

Ezawa

2018

Phys. Rev. B

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We present an exactly solvable model of a spin-triplet f -wave topological superconductor on the honeycomb lattice in the presence of the Hubbard interaction for arbitrary interaction strength. First we show that the Kane-Mele model with the corresponding spin-triplet f -wave superconducting pairings becomes a full-gap topological superconductor possessing the time-reversal symmetry. We then introduce the Hubbard interaction. The exactly solvable condition is found to be the emergence of perfect flat bands at zero energy. They generate infinitely many conserved quantities. It is intriguing that the Hubbard interaction breaks the time-reversal symmetry spontaneously. As a result, the system turns into a trivial superconductor. We demonstrate this topological property based on the topological number and by analyzing the edge state in nanoribbon geometry.

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confidence: 99%

Exact solutions for two-dimensional topological superconductors: Hubbard interaction induced spontaneous symmetry breaking

Ezawa

2018

Phys. Rev. B

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“…By applying the Landauer-Büttiker formalism, [47] the residual conductance in the QSH gap can be calculated. [21,22,42] In general, a single edge channel has a conductance quanta of e 2 / h. In the Hall bar four-terminal configuration, the residual conductance should be G = 2e 2 / h as there is one forward moving channel per edge. At the meantime, due to the edge conduction configuration, the residual conductance should be independent of the width of the samples unless the two edges are too close so that they couple together and destroy the QSH effect.…”

Section: Hgte Quantum Wellsmentioning

confidence: 99%

“…Different from the chiral edge states in QH systems, the helical edge states in QSH systems are protected under time-reversal (TR) symmetry, thus backscattering by nonmagnetic impurities is forbidden. Furthermore, such edge states are robust against the geometry disorder of the sample edges and other perturbation effects, [18,22] which is topologically protected and described by Z 2 invariant. [18,23] Thus, the QSH state of matter is also called 2D topological insulator.…”

Section: Introductionmentioning

confidence: 99%

Quantum Spin Hall Materials

Cao

Chen

2019

Adv Quantum Tech

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The quantum spin Hall (QSH) effect describes the state of matter in certain 2D electron systems, in which an insulating bulk state arises together with helical states at the edge of the sample. In stark contrast to its closest kin, the integer quantum Hall state, the QSH state exists only in time‐reversal symmetric system (e.g., in non‐magnetic materials and without the application of external magnetic field). This article reviews the development of the understanding and construction of the QSH states after their first theoretical proposal, with an emphasis on the materials perspective. Certain semiconductor quantum wells and 2D materials with strong spin–orbit coupling have been found to support QSH states.

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“…The materials existing SSs have prospective applications in electronic/spintronic devices. In particular, the TI can be used to conduct spins on the surface due to spin-Hall effect so that there is no electric resistance and no energy cost [9][10][11][19][20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Surface states of gapped electron systems and semi-metals

Yan¹,

Ting²

2018

J. Phys.: Condens. Matter

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With a generic lattice model for electrons occupying a semi-infinite crystal with a hard surface, we study the eigenstates of the system with a bulk band gap (or the gap with nodal points). The exact solution to the wave functions of scattering states is obtained. From the scattering states, we derive the criterion for the existence of surface states. The wave functions and the energy of the surface states are then determined. We obtain a connection between the wave functions of the bulk states and the surface states. For electrons in a system with time-reversal symmetry, with this connection, we rigorously prove the correspondence between the change of Kramers degeneracy of the surface states and the bulk time-reversal Z2 invariant. The theory is applicable to systems of (topological) insulators, superconductors, and semi-metals. Examples for solving the edge states of electrons with/without the spin-orbit interactions in graphene with a hard zigzag edge and that in a two-dimensional d-wave superconductor with a (1,1) edge are given in appendices.

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Charged-particle multiplicity distribution inpdinteractions at 300 GeV/c

Cited by 49 publications

References 2 publications

Exact solutions for two-dimensional topological superconductors: Hubbard interaction induced spontaneous symmetry breaking

Exact solutions for two-dimensional topological superconductors: Hubbard interaction induced spontaneous symmetry breaking

Quantum Spin Hall Materials

Surface states of gapped electron systems and semi-metals

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