68 research outputs found
Higher-order topological superconductor phases in a multilayer system
Higher-order topological phases are gapped phases of matter that host gapless
corner or hinge modes. For the case of superconductors, corner or hinge modes
are gapless Majorana modes or Majorana zero modes. To construct 3d higher-order
topological superconductors, we consider a topological-insulator/superconductor
multilayer under in-plane Zeeman coupling. We found three different types of
higher-order topological superconductor phases, a second-order topological
superconductor phase with Majorana hinge flat bands, a second-order Dirac
superconductor phase with surface Majorana cones and Majorana hinge arcs, and
nodal-line superconductor phases with drumhead surface states and Majorana
hinge arcs
Particle Propagator of Spin Calogero-Sutherland Model
Explicit-exact expressions for the particle propagator of the spin 1/2
Calogero-Sutherland model are derived for the system of a finite number of
particles and for that in the thermodynamic limit. Derivation of the expression
in the thermodynamic limit is also presented in detail. Combining this result
with the hole propagator obtained in earlier studies, we calculate the spectral
function of the single particle Green's function in the full range of the
energy and momentum space. The resultant spectral function exhibits power-law
singularity characteristic to correlated particle systems in one dimension.Comment: 43 pages, 6 figure
Energy-twisted boundary condition and response in one-dimensional quantum many-body systems
Thermal transport in condensed matter systems is traditionally formulated as
a response to a background gravitational field. In this work, we seek a
twisted-boundary-condition formalism for thermal transport in analogy to the
twisted boundary condition for electrical transport. Specifically, using
the transfer matrix formalism, we introduce what we call the energy-twisted
boundary condition, and study the response of the system to the boundary
condition. As specific examples, we obtain the thermal Meissner stiffness of
(1+1)-dimensional CFT, the Ising model, and disordered fermion models. We also
identify the boost deformation of integrable systems as a bulk counterpart of
the energy-twisted boundary condition. We show that the boost deformation of
the free fermion chain can be solved explicitly by solving the inviscid Burgers
equation. We also discuss the boost deformation of the XXZ model, and its
nonlinear thermal Drude weights, by studying the boost-deformed Bethe ansatz
equations
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