Ken Shobe

Graduate School of Advanced Scinences of Matter
Hiroshima University
Japan

Spontaneous current, skin and proximity effects in non-Hermitian systems

The existence of a finite spontaneous current is not uncommon in non-Hermitian systems. Here, we study its behavior in a few paradigmatic non-Hermitian systems connected to electrodes. Depending on the geometry we employ, we can or cannot take out such a spontaneous current from the system and may possibly measure it. Non-Hermitian proximity effect is shown to exist and indispensable for the continuity of current in the electrodes. A recipe to regularize the continuity equation in the non-Hermitian part is also proposed.