ar X iv : c on d - m at / 0 50 67 10 v 1 [ co nd - m at . s tr - e l ] 2 8 Ju n 20 05 No sliding in time
نویسندگان
چکیده
Abstract. In this letter, we analyse the following apparent paradox: As has been recently proved by Hastings [1], under a general set of conditions, if a local Hamiltonian has a spectral gap above its (unique) ground state (GS), all connected equal-time correlation functions of local operators decay exponentially with distance. On the other hand, statistical mechanics provides us with examples of 3D models displaying so-called sliding phases [2] which are characterised by the algebraic decay of correlations within 2D layers and exponential decay in the third direction. Interpreting this third direction as time would imply a gap in the corresponding (2+1)D quantum Hamiltonian which would seemingly contradict Hastings’ theorem. The resolution of this paradox lies in the non-locality of such a quantum Hamiltonian.
منابع مشابه
ar X iv : 0 90 6 . 31 35 v 1 [ co nd - m at . s tr - e l ] 1 7 Ju n 20 09 The Kondo Effect in Ferromagnetic Atomic Contacts
M. Reyes Calvo, Joaqúın Fernández-Rossier, Juan José Palacios, David Jacob, Douglas Natelson, and Carlos Untiedt ∗ Departamento de Fisica Aplicada, Facultad de Ciencias, Universidad de Alicante, San Vicente del Raspeig, E-03790 Alicante, Spain Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08854, USA. Department of Physics and Astronomy, Rice University, Houston...
متن کاملAmitraz Poisoning; A case study
A m i t r a z, a n i ns e c t i c i d e /a ca ri c i de of the f o r m a m i d i n e p e st i c i d e s group, is a ? 2 a d r e n e r g i c ag on i st a nd of t he a m i d i ne c h e m i ca l f a m il y generally us e d to c o n t r ol animal e c top a r a s i t e s. Poisoning due to am i t r a z i s r a r e and character...
متن کاملSäferTEX: Source Code Esthetics for Automated Typesetting
( * ) I n t r o d u c t i o n . . . . . . . . . . . . . . . . . . . . . . . . . . . . . i n t r o . s t ( * * ) S e n s e a n d N o n s e n s e o f E x a m p l e s . . . . . . . . . . n o n s e n s e . s t ( * * ) E x p l a n a t i o n s w / o e x a m p l e s . . . . . . . . . . . . . . . e x p l a n a t i o n . s t ( * ) E x a m p l e s i n D a i l y P r a c t i s . . . . . . . . . . . . . . ....
متن کاملAnti-infective ophthalmic preparations in general practice
Ocular infections may be bacterial, viral, fungal or parasitic in aetiology. Pharmacological preparations are available to treat infections that are caused by these groups of organisms. The majority of these preparations are intended for topical administration, although some systemically administered agents may be needed to treat or prevent specific ocular infections. This article discusses the...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2005